Calcular y contar todos los divisores de 2.699.997.300 y los factores primos. Calculadora en línea

Los divisores del número 2.699.997.300. La importancia de la descomposición del número en factores primos

1. Realizar la descomposición del número 2.699.997.300 en factores primos:

La descomposición en factores primos de un número (descomposición factorial) = descomponer el número como un producto (multiplicación) de uno o varios números primos.


2.699.997.300 = 22 × 36 × 52 × 7 × 11 × 13 × 37
2.699.997.300 no es un numero primo sino un numero compuesto.


* Los números naturales que son divisibles solo por 1 y por ellos mismos se llaman números primos. Un número primo tiene exactamente dos divisores: el 1 y él mismo.
* Un número compuesto es un número natural que tiene al menos un divisor diferente de 1 y él mismo.


¿Cómo contar el número de divisores de un número?

Si un número N se descompone en factores primos como:
N = am × bk × cz
donde a, b, c son los factores primos; m, k, z son sus exponentes, números naturales, ....


Entonces el número de divisores del número N se puede calcular de esta manera:
n = (m + 1) × (k + 1) × (z + 1)


En nuestro caso, el número de divisores se calcula como:

n = (2 + 1) × (6 + 1) × (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 3 × 7 × 3 × 2 × 2 × 2 × 2 = 1.008

Pero para calcular realmente los divisores, vea a continuación...

2. Multiplica los factores primos del número 2.699.997.300

Multiplica los factores primos involucrados en la descomposición en factores primos del número en todas sus combinaciones únicas, que dan resultados diferentes.


Considere también los exponentes de estos factores primos.

También considere el número 1 cuando construya la lista de divisores. Todos los números son divisibles por 1.


Todos los divisores se enumeran a continuación, en orden ascendente

La lista de divisores:

Ni primo ni compuesto = 1
factor primo = 2
factor primo = 3
22 = 4
factor primo = 5
2 × 3 = 6
factor primo = 7
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
factor primo = 13
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
52 = 25
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
factor primo = 37
3 × 13 = 39
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
2 × 52 = 50
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
2 × 37 = 74
3 × 52 = 75
7 × 11 = 77
2 × 3 × 13 = 78
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
32 × 11 = 99
22 × 52 = 100
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
3 × 37 = 111
32 × 13 = 117
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
11 × 13 = 143
22 × 37 = 148
2 × 3 × 52 = 150
2 × 7 × 11 = 154
22 × 3 × 13 = 156
2 × 34 = 162
3 × 5 × 11 = 165
52 × 7 = 175
22 × 32 × 5 = 180
2 × 7 × 13 = 182
5 × 37 = 185
33 × 7 = 189
3 × 5 × 13 = 195
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
2 × 3 × 37 = 222
32 × 52 = 225
3 × 7 × 11 = 231
2 × 32 × 13 = 234
35 = 243
22 × 32 × 7 = 252
7 × 37 = 259
22 × 5 × 13 = 260
2 × 33 × 5 = 270
3 × 7 × 13 = 273
52 × 11 = 275
2 × 11 × 13 = 286
33 × 11 = 297
22 × 3 × 52 = 300
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
52 × 13 = 325
2 × 3 × 5 × 11 = 330
32 × 37 = 333
2 × 52 × 7 = 350
33 × 13 = 351
22 × 7 × 13 = 364
2 × 5 × 37 = 370
2 × 33 × 7 = 378
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
34 × 5 = 405
11 × 37 = 407
22 × 3 × 5 × 7 = 420
3 × 11 × 13 = 429
22 × 3 × 37 = 444
2 × 32 × 52 = 450
5 × 7 × 13 = 455
2 × 3 × 7 × 11 = 462
22 × 32 × 13 = 468
13 × 37 = 481
2 × 35 = 486
32 × 5 × 11 = 495
2 × 7 × 37 = 518
3 × 52 × 7 = 525
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
2 × 52 × 11 = 550
3 × 5 × 37 = 555
34 × 7 = 567
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
2 × 32 × 5 × 7 = 630
2 × 52 × 13 = 650
22 × 3 × 5 × 11 = 660
2 × 32 × 37 = 666
33 × 52 = 675
32 × 7 × 11 = 693
22 × 52 × 7 = 700
2 × 33 × 13 = 702
5 × 11 × 13 = 715
36 = 729
22 × 5 × 37 = 740
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
3 × 7 × 37 = 777
22 × 3 × 5 × 13 = 780
2 × 34 × 5 = 810
2 × 11 × 37 = 814
32 × 7 × 13 = 819
3 × 52 × 11 = 825
2 × 3 × 11 × 13 = 858
34 × 11 = 891
22 × 32 × 52 = 900
2 × 5 × 7 × 13 = 910
22 × 3 × 7 × 11 = 924
52 × 37 = 925
33 × 5 × 7 = 945
2 × 13 × 37 = 962
22 × 35 = 972
3 × 52 × 13 = 975
2 × 32 × 5 × 11 = 990
33 × 37 = 999
7 × 11 × 13 = 1.001
22 × 7 × 37 = 1.036
2 × 3 × 52 × 7 = 1.050
34 × 13 = 1.053
22 × 3 × 7 × 13 = 1.092
22 × 52 × 11 = 1.100
2 × 3 × 5 × 37 = 1.110
2 × 34 × 7 = 1.134
3 × 5 × 7 × 11 = 1.155
2 × 32 × 5 × 13 = 1.170
22 × 33 × 11 = 1.188
35 × 5 = 1.215
3 × 11 × 37 = 1.221
22 × 32 × 5 × 7 = 1.260
32 × 11 × 13 = 1.287
5 × 7 × 37 = 1.295
22 × 52 × 13 = 1.300
22 × 32 × 37 = 1.332
2 × 33 × 52 = 1.350
3 × 5 × 7 × 13 = 1.365
2 × 32 × 7 × 11 = 1.386
22 × 33 × 13 = 1.404
2 × 5 × 11 × 13 = 1.430
3 × 13 × 37 = 1.443
2 × 36 = 1.458
33 × 5 × 11 = 1.485
22 × 5 × 7 × 11 = 1.540
2 × 3 × 7 × 37 = 1.554
32 × 52 × 7 = 1.575
22 × 34 × 5 = 1.620
22 × 11 × 37 = 1.628
2 × 32 × 7 × 13 = 1.638
2 × 3 × 52 × 11 = 1.650
32 × 5 × 37 = 1.665
35 × 7 = 1.701
22 × 3 × 11 × 13 = 1.716
33 × 5 × 13 = 1.755
2 × 34 × 11 = 1.782
22 × 5 × 7 × 13 = 1.820
2 × 52 × 37 = 1.850
2 × 33 × 5 × 7 = 1.890
22 × 13 × 37 = 1.924
52 × 7 × 11 = 1.925
2 × 3 × 52 × 13 = 1.950
22 × 32 × 5 × 11 = 1.980
2 × 33 × 37 = 1.998
2 × 7 × 11 × 13 = 2.002
34 × 52 = 2.025
5 × 11 × 37 = 2.035
33 × 7 × 11 = 2.079
22 × 3 × 52 × 7 = 2.100
2 × 34 × 13 = 2.106
3 × 5 × 11 × 13 = 2.145
22 × 3 × 5 × 37 = 2.220
22 × 34 × 7 = 2.268
52 × 7 × 13 = 2.275
2 × 3 × 5 × 7 × 11 = 2.310
32 × 7 × 37 = 2.331
22 × 32 × 5 × 13 = 2.340
5 × 13 × 37 = 2.405
2 × 35 × 5 = 2.430
2 × 3 × 11 × 37 = 2.442
33 × 7 × 13 = 2.457
32 × 52 × 11 = 2.475
2 × 32 × 11 × 13 = 2.574
2 × 5 × 7 × 37 = 2.590
35 × 11 = 2.673
22 × 33 × 52 = 2.700
2 × 3 × 5 × 7 × 13 = 2.730
22 × 32 × 7 × 11 = 2.772
3 × 52 × 37 = 2.775
34 × 5 × 7 = 2.835
7 × 11 × 37 = 2.849
22 × 5 × 11 × 13 = 2.860
2 × 3 × 13 × 37 = 2.886
22 × 36 = 2.916
32 × 52 × 13 = 2.925
2 × 33 × 5 × 11 = 2.970
34 × 37 = 2.997
3 × 7 × 11 × 13 = 3.003
22 × 3 × 7 × 37 = 3.108
2 × 32 × 52 × 7 = 3.150
35 × 13 = 3.159
22 × 32 × 7 × 13 = 3.276
22 × 3 × 52 × 11 = 3.300
2 × 32 × 5 × 37 = 3.330
7 × 13 × 37 = 3.367
2 × 35 × 7 = 3.402
32 × 5 × 7 × 11 = 3.465
2 × 33 × 5 × 13 = 3.510
22 × 34 × 11 = 3.564
52 × 11 × 13 = 3.575
36 × 5 = 3.645
32 × 11 × 37 = 3.663
22 × 52 × 37 = 3.700
22 × 33 × 5 × 7 = 3.780
2 × 52 × 7 × 11 = 3.850
33 × 11 × 13 = 3.861
3 × 5 × 7 × 37 = 3.885
22 × 3 × 52 × 13 = 3.900
22 × 33 × 37 = 3.996
22 × 7 × 11 × 13 = 4.004
2 × 34 × 52 = 4.050
2 × 5 × 11 × 37 = 4.070
32 × 5 × 7 × 13 = 4.095
2 × 33 × 7 × 11 = 4.158
22 × 34 × 13 = 4.212
2 × 3 × 5 × 11 × 13 = 4.290
32 × 13 × 37 = 4.329
34 × 5 × 11 = 4.455
2 × 52 × 7 × 13 = 4.550
22 × 3 × 5 × 7 × 11 = 4.620
2 × 32 × 7 × 37 = 4.662
33 × 52 × 7 = 4.725
2 × 5 × 13 × 37 = 4.810
22 × 35 × 5 = 4.860
22 × 3 × 11 × 37 = 4.884
2 × 33 × 7 × 13 = 4.914
2 × 32 × 52 × 11 = 4.950
33 × 5 × 37 = 4.995
5 × 7 × 11 × 13 = 5.005
36 × 7 = 5.103
22 × 32 × 11 × 13 = 5.148
22 × 5 × 7 × 37 = 5.180
34 × 5 × 13 = 5.265
11 × 13 × 37 = 5.291
2 × 35 × 11 = 5.346
22 × 3 × 5 × 7 × 13 = 5.460
2 × 3 × 52 × 37 = 5.550
2 × 34 × 5 × 7 = 5.670
2 × 7 × 11 × 37 = 5.698
22 × 3 × 13 × 37 = 5.772
3 × 52 × 7 × 11 = 5.775
2 × 32 × 52 × 13 = 5.850
22 × 33 × 5 × 11 = 5.940
2 × 34 × 37 = 5.994
2 × 3 × 7 × 11 × 13 = 6.006
35 × 52 = 6.075
3 × 5 × 11 × 37 = 6.105
34 × 7 × 11 = 6.237
22 × 32 × 52 × 7 = 6.300
2 × 35 × 13 = 6.318
32 × 5 × 11 × 13 = 6.435
52 × 7 × 37 = 6.475
22 × 32 × 5 × 37 = 6.660
2 × 7 × 13 × 37 = 6.734
22 × 35 × 7 = 6.804
3 × 52 × 7 × 13 = 6.825
2 × 32 × 5 × 7 × 11 = 6.930
33 × 7 × 37 = 6.993
22 × 33 × 5 × 13 = 7.020
2 × 52 × 11 × 13 = 7.150
3 × 5 × 13 × 37 = 7.215
2 × 36 × 5 = 7.290
2 × 32 × 11 × 37 = 7.326
34 × 7 × 13 = 7.371
33 × 52 × 11 = 7.425
22 × 52 × 7 × 11 = 7.700
2 × 33 × 11 × 13 = 7.722
2 × 3 × 5 × 7 × 37 = 7.770
36 × 11 = 8.019
22 × 34 × 52 = 8.100
22 × 5 × 11 × 37 = 8.140
2 × 32 × 5 × 7 × 13 = 8.190
22 × 33 × 7 × 11 = 8.316
32 × 52 × 37 = 8.325
35 × 5 × 7 = 8.505
3 × 7 × 11 × 37 = 8.547
22 × 3 × 5 × 11 × 13 = 8.580
2 × 32 × 13 × 37 = 8.658
33 × 52 × 13 = 8.775
2 × 34 × 5 × 11 = 8.910
35 × 37 = 8.991
32 × 7 × 11 × 13 = 9.009
22 × 52 × 7 × 13 = 9.100
22 × 32 × 7 × 37 = 9.324
2 × 33 × 52 × 7 = 9.450
36 × 13 = 9.477
22 × 5 × 13 × 37 = 9.620
22 × 33 × 7 × 13 = 9.828
22 × 32 × 52 × 11 = 9.900
2 × 33 × 5 × 37 = 9.990
2 × 5 × 7 × 11 × 13 = 10.010
3 × 7 × 13 × 37 = 10.101
52 × 11 × 37 = 10.175
2 × 36 × 7 = 10.206
33 × 5 × 7 × 11 = 10.395
2 × 34 × 5 × 13 = 10.530
2 × 11 × 13 × 37 = 10.582
22 × 35 × 11 = 10.692
3 × 52 × 11 × 13 = 10.725
33 × 11 × 37 = 10.989
22 × 3 × 52 × 37 = 11.100
22 × 34 × 5 × 7 = 11.340
22 × 7 × 11 × 37 = 11.396
2 × 3 × 52 × 7 × 11 = 11.550
34 × 11 × 13 = 11.583
32 × 5 × 7 × 37 = 11.655
22 × 32 × 52 × 13 = 11.700
22 × 34 × 37 = 11.988
22 × 3 × 7 × 11 × 13 = 12.012
52 × 13 × 37 = 12.025
2 × 35 × 52 = 12.150
2 × 3 × 5 × 11 × 37 = 12.210
33 × 5 × 7 × 13 = 12.285
2 × 34 × 7 × 11 = 12.474
22 × 35 × 13 = 12.636
2 × 32 × 5 × 11 × 13 = 12.870
2 × 52 × 7 × 37 = 12.950
33 × 13 × 37 = 12.987
35 × 5 × 11 = 13.365
22 × 7 × 13 × 37 = 13.468
2 × 3 × 52 × 7 × 13 = 13.650
22 × 32 × 5 × 7 × 11 = 13.860
2 × 33 × 7 × 37 = 13.986
34 × 52 × 7 = 14.175
5 × 7 × 11 × 37 = 14.245
22 × 52 × 11 × 13 = 14.300
2 × 3 × 5 × 13 × 37 = 14.430
22 × 36 × 5 = 14.580
22 × 32 × 11 × 37 = 14.652
2 × 34 × 7 × 13 = 14.742
2 × 33 × 52 × 11 = 14.850
34 × 5 × 37 = 14.985
3 × 5 × 7 × 11 × 13 = 15.015
22 × 33 × 11 × 13 = 15.444
22 × 3 × 5 × 7 × 37 = 15.540
35 × 5 × 13 = 15.795
3 × 11 × 13 × 37 = 15.873
2 × 36 × 11 = 16.038
22 × 32 × 5 × 7 × 13 = 16.380
2 × 32 × 52 × 37 = 16.650
5 × 7 × 13 × 37 = 16.835
2 × 35 × 5 × 7 = 17.010
2 × 3 × 7 × 11 × 37 = 17.094
22 × 32 × 13 × 37 = 17.316
32 × 52 × 7 × 11 = 17.325
2 × 33 × 52 × 13 = 17.550
22 × 34 × 5 × 11 = 17.820
2 × 35 × 37 = 17.982
2 × 32 × 7 × 11 × 13 = 18.018
36 × 52 = 18.225
32 × 5 × 11 × 37 = 18.315
35 × 7 × 11 = 18.711
22 × 33 × 52 × 7 = 18.900
2 × 36 × 13 = 18.954
33 × 5 × 11 × 13 = 19.305
3 × 52 × 7 × 37 = 19.425
22 × 33 × 5 × 37 = 19.980
22 × 5 × 7 × 11 × 13 = 20.020
2 × 3 × 7 × 13 × 37 = 20.202
2 × 52 × 11 × 37 = 20.350
22 × 36 × 7 = 20.412
32 × 52 × 7 × 13 = 20.475
2 × 33 × 5 × 7 × 11 = 20.790
34 × 7 × 37 = 20.979
22 × 34 × 5 × 13 = 21.060
22 × 11 × 13 × 37 = 21.164
2 × 3 × 52 × 11 × 13 = 21.450
32 × 5 × 13 × 37 = 21.645
2 × 33 × 11 × 37 = 21.978
35 × 7 × 13 = 22.113
34 × 52 × 11 = 22.275
22 × 3 × 52 × 7 × 11 = 23.100
2 × 34 × 11 × 13 = 23.166
2 × 32 × 5 × 7 × 37 = 23.310
2 × 52 × 13 × 37 = 24.050
22 × 35 × 52 = 24.300
22 × 3 × 5 × 11 × 37 = 24.420
2 × 33 × 5 × 7 × 13 = 24.570
22 × 34 × 7 × 11 = 24.948
33 × 52 × 37 = 24.975
52 × 7 × 11 × 13 = 25.025
36 × 5 × 7 = 25.515
32 × 7 × 11 × 37 = 25.641
22 × 32 × 5 × 11 × 13 = 25.740
22 × 52 × 7 × 37 = 25.900
2 × 33 × 13 × 37 = 25.974
34 × 52 × 13 = 26.325
5 × 11 × 13 × 37 = 26.455
2 × 35 × 5 × 11 = 26.730
36 × 37 = 26.973
33 × 7 × 11 × 13 = 27.027
22 × 3 × 52 × 7 × 13 = 27.300
22 × 33 × 7 × 37 = 27.972
2 × 34 × 52 × 7 = 28.350
2 × 5 × 7 × 11 × 37 = 28.490
22 × 3 × 5 × 13 × 37 = 28.860
22 × 34 × 7 × 13 = 29.484
22 × 33 × 52 × 11 = 29.700
2 × 34 × 5 × 37 = 29.970
2 × 3 × 5 × 7 × 11 × 13 = 30.030
32 × 7 × 13 × 37 = 30.303
3 × 52 × 11 × 37 = 30.525
34 × 5 × 7 × 11 = 31.185
2 × 35 × 5 × 13 = 31.590
2 × 3 × 11 × 13 × 37 = 31.746
22 × 36 × 11 = 32.076
32 × 52 × 11 × 13 = 32.175
34 × 11 × 37 = 32.967
22 × 32 × 52 × 37 = 33.300
2 × 5 × 7 × 13 × 37 = 33.670
22 × 35 × 5 × 7 = 34.020
22 × 3 × 7 × 11 × 37 = 34.188
2 × 32 × 52 × 7 × 11 = 34.650
35 × 11 × 13 = 34.749
33 × 5 × 7 × 37 = 34.965
22 × 33 × 52 × 13 = 35.100
22 × 35 × 37 = 35.964
22 × 32 × 7 × 11 × 13 = 36.036
3 × 52 × 13 × 37 = 36.075
2 × 36 × 52 = 36.450
2 × 32 × 5 × 11 × 37 = 36.630
34 × 5 × 7 × 13 = 36.855
7 × 11 × 13 × 37 = 37.037
2 × 35 × 7 × 11 = 37.422
22 × 36 × 13 = 37.908
2 × 33 × 5 × 11 × 13 = 38.610
2 × 3 × 52 × 7 × 37 = 38.850
34 × 13 × 37 = 38.961
36 × 5 × 11 = 40.095
22 × 3 × 7 × 13 × 37 = 40.404
22 × 52 × 11 × 37 = 40.700
2 × 32 × 52 × 7 × 13 = 40.950
22 × 33 × 5 × 7 × 11 = 41.580
2 × 34 × 7 × 37 = 41.958
35 × 52 × 7 = 42.525
3 × 5 × 7 × 11 × 37 = 42.735
22 × 3 × 52 × 11 × 13 = 42.900
2 × 32 × 5 × 13 × 37 = 43.290
22 × 33 × 11 × 37 = 43.956
2 × 35 × 7 × 13 = 44.226
2 × 34 × 52 × 11 = 44.550
35 × 5 × 37 = 44.955
32 × 5 × 7 × 11 × 13 = 45.045
22 × 34 × 11 × 13 = 46.332
22 × 32 × 5 × 7 × 37 = 46.620
36 × 5 × 13 = 47.385
32 × 11 × 13 × 37 = 47.619
22 × 52 × 13 × 37 = 48.100
22 × 33 × 5 × 7 × 13 = 49.140
2 × 33 × 52 × 37 = 49.950
2 × 52 × 7 × 11 × 13 = 50.050
3 × 5 × 7 × 13 × 37 = 50.505
2 × 36 × 5 × 7 = 51.030
2 × 32 × 7 × 11 × 37 = 51.282
22 × 33 × 13 × 37 = 51.948
Esta lista continúa más abajo...

... Esta lista continúa desde arriba
33 × 52 × 7 × 11 = 51.975
2 × 34 × 52 × 13 = 52.650
2 × 5 × 11 × 13 × 37 = 52.910
22 × 35 × 5 × 11 = 53.460
2 × 36 × 37 = 53.946
2 × 33 × 7 × 11 × 13 = 54.054
33 × 5 × 11 × 37 = 54.945
36 × 7 × 11 = 56.133
22 × 34 × 52 × 7 = 56.700
22 × 5 × 7 × 11 × 37 = 56.980
34 × 5 × 11 × 13 = 57.915
32 × 52 × 7 × 37 = 58.275
22 × 34 × 5 × 37 = 59.940
22 × 3 × 5 × 7 × 11 × 13 = 60.060
2 × 32 × 7 × 13 × 37 = 60.606
2 × 3 × 52 × 11 × 37 = 61.050
33 × 52 × 7 × 13 = 61.425
2 × 34 × 5 × 7 × 11 = 62.370
35 × 7 × 37 = 62.937
22 × 35 × 5 × 13 = 63.180
22 × 3 × 11 × 13 × 37 = 63.492
2 × 32 × 52 × 11 × 13 = 64.350
33 × 5 × 13 × 37 = 64.935
2 × 34 × 11 × 37 = 65.934
36 × 7 × 13 = 66.339
35 × 52 × 11 = 66.825
22 × 5 × 7 × 13 × 37 = 67.340
22 × 32 × 52 × 7 × 11 = 69.300
2 × 35 × 11 × 13 = 69.498
2 × 33 × 5 × 7 × 37 = 69.930
52 × 7 × 11 × 37 = 71.225
2 × 3 × 52 × 13 × 37 = 72.150
22 × 36 × 52 = 72.900
22 × 32 × 5 × 11 × 37 = 73.260
2 × 34 × 5 × 7 × 13 = 73.710
2 × 7 × 11 × 13 × 37 = 74.074
22 × 35 × 7 × 11 = 74.844
34 × 52 × 37 = 74.925
3 × 52 × 7 × 11 × 13 = 75.075
33 × 7 × 11 × 37 = 76.923
22 × 33 × 5 × 11 × 13 = 77.220
22 × 3 × 52 × 7 × 37 = 77.700
2 × 34 × 13 × 37 = 77.922
35 × 52 × 13 = 78.975
3 × 5 × 11 × 13 × 37 = 79.365
2 × 36 × 5 × 11 = 80.190
34 × 7 × 11 × 13 = 81.081
22 × 32 × 52 × 7 × 13 = 81.900
22 × 34 × 7 × 37 = 83.916
52 × 7 × 13 × 37 = 84.175
2 × 35 × 52 × 7 = 85.050
2 × 3 × 5 × 7 × 11 × 37 = 85.470
22 × 32 × 5 × 13 × 37 = 86.580
22 × 35 × 7 × 13 = 88.452
22 × 34 × 52 × 11 = 89.100
2 × 35 × 5 × 37 = 89.910
2 × 32 × 5 × 7 × 11 × 13 = 90.090
33 × 7 × 13 × 37 = 90.909
32 × 52 × 11 × 37 = 91.575
35 × 5 × 7 × 11 = 93.555
2 × 36 × 5 × 13 = 94.770
2 × 32 × 11 × 13 × 37 = 95.238
33 × 52 × 11 × 13 = 96.525
35 × 11 × 37 = 98.901
22 × 33 × 52 × 37 = 99.900
22 × 52 × 7 × 11 × 13 = 100.100
2 × 3 × 5 × 7 × 13 × 37 = 101.010
22 × 36 × 5 × 7 = 102.060
22 × 32 × 7 × 11 × 37 = 102.564
2 × 33 × 52 × 7 × 11 = 103.950
36 × 11 × 13 = 104.247
34 × 5 × 7 × 37 = 104.895
22 × 34 × 52 × 13 = 105.300
22 × 5 × 11 × 13 × 37 = 105.820
22 × 36 × 37 = 107.892
22 × 33 × 7 × 11 × 13 = 108.108
32 × 52 × 13 × 37 = 108.225
2 × 33 × 5 × 11 × 37 = 109.890
35 × 5 × 7 × 13 = 110.565
3 × 7 × 11 × 13 × 37 = 111.111
2 × 36 × 7 × 11 = 112.266
2 × 34 × 5 × 11 × 13 = 115.830
2 × 32 × 52 × 7 × 37 = 116.550
35 × 13 × 37 = 116.883
22 × 32 × 7 × 13 × 37 = 121.212
22 × 3 × 52 × 11 × 37 = 122.100
2 × 33 × 52 × 7 × 13 = 122.850
22 × 34 × 5 × 7 × 11 = 124.740
2 × 35 × 7 × 37 = 125.874
36 × 52 × 7 = 127.575
32 × 5 × 7 × 11 × 37 = 128.205
22 × 32 × 52 × 11 × 13 = 128.700
2 × 33 × 5 × 13 × 37 = 129.870
22 × 34 × 11 × 37 = 131.868
52 × 11 × 13 × 37 = 132.275
2 × 36 × 7 × 13 = 132.678
2 × 35 × 52 × 11 = 133.650
36 × 5 × 37 = 134.865
33 × 5 × 7 × 11 × 13 = 135.135
22 × 35 × 11 × 13 = 138.996
22 × 33 × 5 × 7 × 37 = 139.860
2 × 52 × 7 × 11 × 37 = 142.450
33 × 11 × 13 × 37 = 142.857
22 × 3 × 52 × 13 × 37 = 144.300
22 × 34 × 5 × 7 × 13 = 147.420
22 × 7 × 11 × 13 × 37 = 148.148
2 × 34 × 52 × 37 = 149.850
2 × 3 × 52 × 7 × 11 × 13 = 150.150
32 × 5 × 7 × 13 × 37 = 151.515
2 × 33 × 7 × 11 × 37 = 153.846
22 × 34 × 13 × 37 = 155.844
34 × 52 × 7 × 11 = 155.925
2 × 35 × 52 × 13 = 157.950
2 × 3 × 5 × 11 × 13 × 37 = 158.730
22 × 36 × 5 × 11 = 160.380
2 × 34 × 7 × 11 × 13 = 162.162
34 × 5 × 11 × 37 = 164.835
2 × 52 × 7 × 13 × 37 = 168.350
22 × 35 × 52 × 7 = 170.100
22 × 3 × 5 × 7 × 11 × 37 = 170.940
35 × 5 × 11 × 13 = 173.745
33 × 52 × 7 × 37 = 174.825
22 × 35 × 5 × 37 = 179.820
22 × 32 × 5 × 7 × 11 × 13 = 180.180
2 × 33 × 7 × 13 × 37 = 181.818
2 × 32 × 52 × 11 × 37 = 183.150
34 × 52 × 7 × 13 = 184.275
5 × 7 × 11 × 13 × 37 = 185.185
2 × 35 × 5 × 7 × 11 = 187.110
36 × 7 × 37 = 188.811
22 × 36 × 5 × 13 = 189.540
22 × 32 × 11 × 13 × 37 = 190.476
2 × 33 × 52 × 11 × 13 = 193.050
34 × 5 × 13 × 37 = 194.805
2 × 35 × 11 × 37 = 197.802
36 × 52 × 11 = 200.475
22 × 3 × 5 × 7 × 13 × 37 = 202.020
22 × 33 × 52 × 7 × 11 = 207.900
2 × 36 × 11 × 13 = 208.494
2 × 34 × 5 × 7 × 37 = 209.790
3 × 52 × 7 × 11 × 37 = 213.675
2 × 32 × 52 × 13 × 37 = 216.450
22 × 33 × 5 × 11 × 37 = 219.780
2 × 35 × 5 × 7 × 13 = 221.130
2 × 3 × 7 × 11 × 13 × 37 = 222.222
22 × 36 × 7 × 11 = 224.532
35 × 52 × 37 = 224.775
32 × 52 × 7 × 11 × 13 = 225.225
34 × 7 × 11 × 37 = 230.769
22 × 34 × 5 × 11 × 13 = 231.660
22 × 32 × 52 × 7 × 37 = 233.100
2 × 35 × 13 × 37 = 233.766
36 × 52 × 13 = 236.925
32 × 5 × 11 × 13 × 37 = 238.095
35 × 7 × 11 × 13 = 243.243
22 × 33 × 52 × 7 × 13 = 245.700
22 × 35 × 7 × 37 = 251.748
3 × 52 × 7 × 13 × 37 = 252.525
2 × 36 × 52 × 7 = 255.150
2 × 32 × 5 × 7 × 11 × 37 = 256.410
22 × 33 × 5 × 13 × 37 = 259.740
2 × 52 × 11 × 13 × 37 = 264.550
22 × 36 × 7 × 13 = 265.356
22 × 35 × 52 × 11 = 267.300
2 × 36 × 5 × 37 = 269.730
2 × 33 × 5 × 7 × 11 × 13 = 270.270
34 × 7 × 13 × 37 = 272.727
33 × 52 × 11 × 37 = 274.725
36 × 5 × 7 × 11 = 280.665
22 × 52 × 7 × 11 × 37 = 284.900
2 × 33 × 11 × 13 × 37 = 285.714
34 × 52 × 11 × 13 = 289.575
36 × 11 × 37 = 296.703
22 × 34 × 52 × 37 = 299.700
22 × 3 × 52 × 7 × 11 × 13 = 300.300
2 × 32 × 5 × 7 × 13 × 37 = 303.030
22 × 33 × 7 × 11 × 37 = 307.692
2 × 34 × 52 × 7 × 11 = 311.850
35 × 5 × 7 × 37 = 314.685
22 × 35 × 52 × 13 = 315.900
22 × 3 × 5 × 11 × 13 × 37 = 317.460
22 × 34 × 7 × 11 × 13 = 324.324
33 × 52 × 13 × 37 = 324.675
2 × 34 × 5 × 11 × 37 = 329.670
36 × 5 × 7 × 13 = 331.695
32 × 7 × 11 × 13 × 37 = 333.333
22 × 52 × 7 × 13 × 37 = 336.700
2 × 35 × 5 × 11 × 13 = 347.490
2 × 33 × 52 × 7 × 37 = 349.650
36 × 13 × 37 = 350.649
22 × 33 × 7 × 13 × 37 = 363.636
22 × 32 × 52 × 11 × 37 = 366.300
2 × 34 × 52 × 7 × 13 = 368.550
2 × 5 × 7 × 11 × 13 × 37 = 370.370
22 × 35 × 5 × 7 × 11 = 374.220
2 × 36 × 7 × 37 = 377.622
33 × 5 × 7 × 11 × 37 = 384.615
22 × 33 × 52 × 11 × 13 = 386.100
2 × 34 × 5 × 13 × 37 = 389.610
22 × 35 × 11 × 37 = 395.604
3 × 52 × 11 × 13 × 37 = 396.825
2 × 36 × 52 × 11 = 400.950
34 × 5 × 7 × 11 × 13 = 405.405
22 × 36 × 11 × 13 = 416.988
22 × 34 × 5 × 7 × 37 = 419.580
2 × 3 × 52 × 7 × 11 × 37 = 427.350
34 × 11 × 13 × 37 = 428.571
22 × 32 × 52 × 13 × 37 = 432.900
22 × 35 × 5 × 7 × 13 = 442.260
22 × 3 × 7 × 11 × 13 × 37 = 444.444
2 × 35 × 52 × 37 = 449.550
2 × 32 × 52 × 7 × 11 × 13 = 450.450
33 × 5 × 7 × 13 × 37 = 454.545
2 × 34 × 7 × 11 × 37 = 461.538
22 × 35 × 13 × 37 = 467.532
35 × 52 × 7 × 11 = 467.775
2 × 36 × 52 × 13 = 473.850
2 × 32 × 5 × 11 × 13 × 37 = 476.190
2 × 35 × 7 × 11 × 13 = 486.486
35 × 5 × 11 × 37 = 494.505
2 × 3 × 52 × 7 × 13 × 37 = 505.050
22 × 36 × 52 × 7 = 510.300
22 × 32 × 5 × 7 × 11 × 37 = 512.820
36 × 5 × 11 × 13 = 521.235
34 × 52 × 7 × 37 = 524.475
22 × 52 × 11 × 13 × 37 = 529.100
22 × 36 × 5 × 37 = 539.460
22 × 33 × 5 × 7 × 11 × 13 = 540.540
2 × 34 × 7 × 13 × 37 = 545.454
2 × 33 × 52 × 11 × 37 = 549.450
35 × 52 × 7 × 13 = 552.825
3 × 5 × 7 × 11 × 13 × 37 = 555.555
2 × 36 × 5 × 7 × 11 = 561.330
22 × 33 × 11 × 13 × 37 = 571.428
2 × 34 × 52 × 11 × 13 = 579.150
35 × 5 × 13 × 37 = 584.415
2 × 36 × 11 × 37 = 593.406
22 × 32 × 5 × 7 × 13 × 37 = 606.060
22 × 34 × 52 × 7 × 11 = 623.700
2 × 35 × 5 × 7 × 37 = 629.370
32 × 52 × 7 × 11 × 37 = 641.025
2 × 33 × 52 × 13 × 37 = 649.350
22 × 34 × 5 × 11 × 37 = 659.340
2 × 36 × 5 × 7 × 13 = 663.390
2 × 32 × 7 × 11 × 13 × 37 = 666.666
36 × 52 × 37 = 674.325
33 × 52 × 7 × 11 × 13 = 675.675
35 × 7 × 11 × 37 = 692.307
22 × 35 × 5 × 11 × 13 = 694.980
22 × 33 × 52 × 7 × 37 = 699.300
2 × 36 × 13 × 37 = 701.298
33 × 5 × 11 × 13 × 37 = 714.285
36 × 7 × 11 × 13 = 729.729
22 × 34 × 52 × 7 × 13 = 737.100
22 × 5 × 7 × 11 × 13 × 37 = 740.740
22 × 36 × 7 × 37 = 755.244
32 × 52 × 7 × 13 × 37 = 757.575
2 × 33 × 5 × 7 × 11 × 37 = 769.230
22 × 34 × 5 × 13 × 37 = 779.220
2 × 3 × 52 × 11 × 13 × 37 = 793.650
22 × 36 × 52 × 11 = 801.900
2 × 34 × 5 × 7 × 11 × 13 = 810.810
35 × 7 × 13 × 37 = 818.181
34 × 52 × 11 × 37 = 824.175
22 × 3 × 52 × 7 × 11 × 37 = 854.700
2 × 34 × 11 × 13 × 37 = 857.142
35 × 52 × 11 × 13 = 868.725
22 × 35 × 52 × 37 = 899.100
22 × 32 × 52 × 7 × 11 × 13 = 900.900
2 × 33 × 5 × 7 × 13 × 37 = 909.090
22 × 34 × 7 × 11 × 37 = 923.076
52 × 7 × 11 × 13 × 37 = 925.925
2 × 35 × 52 × 7 × 11 = 935.550
36 × 5 × 7 × 37 = 944.055
22 × 36 × 52 × 13 = 947.700
22 × 32 × 5 × 11 × 13 × 37 = 952.380
22 × 35 × 7 × 11 × 13 = 972.972
34 × 52 × 13 × 37 = 974.025
2 × 35 × 5 × 11 × 37 = 989.010
33 × 7 × 11 × 13 × 37 = 999.999
22 × 3 × 52 × 7 × 13 × 37 = 1.010.100
2 × 36 × 5 × 11 × 13 = 1.042.470
2 × 34 × 52 × 7 × 37 = 1.048.950
22 × 34 × 7 × 13 × 37 = 1.090.908
22 × 33 × 52 × 11 × 37 = 1.098.900
2 × 35 × 52 × 7 × 13 = 1.105.650
2 × 3 × 5 × 7 × 11 × 13 × 37 = 1.111.110
22 × 36 × 5 × 7 × 11 = 1.122.660
34 × 5 × 7 × 11 × 37 = 1.153.845
22 × 34 × 52 × 11 × 13 = 1.158.300
2 × 35 × 5 × 13 × 37 = 1.168.830
22 × 36 × 11 × 37 = 1.186.812
32 × 52 × 11 × 13 × 37 = 1.190.475
35 × 5 × 7 × 11 × 13 = 1.216.215
22 × 35 × 5 × 7 × 37 = 1.258.740
2 × 32 × 52 × 7 × 11 × 37 = 1.282.050
35 × 11 × 13 × 37 = 1.285.713
22 × 33 × 52 × 13 × 37 = 1.298.700
22 × 36 × 5 × 7 × 13 = 1.326.780
22 × 32 × 7 × 11 × 13 × 37 = 1.333.332
2 × 36 × 52 × 37 = 1.348.650
2 × 33 × 52 × 7 × 11 × 13 = 1.351.350
34 × 5 × 7 × 13 × 37 = 1.363.635
2 × 35 × 7 × 11 × 37 = 1.384.614
22 × 36 × 13 × 37 = 1.402.596
36 × 52 × 7 × 11 = 1.403.325
2 × 33 × 5 × 11 × 13 × 37 = 1.428.570
2 × 36 × 7 × 11 × 13 = 1.459.458
36 × 5 × 11 × 37 = 1.483.515
2 × 32 × 52 × 7 × 13 × 37 = 1.515.150
22 × 33 × 5 × 7 × 11 × 37 = 1.538.460
35 × 52 × 7 × 37 = 1.573.425
22 × 3 × 52 × 11 × 13 × 37 = 1.587.300
22 × 34 × 5 × 7 × 11 × 13 = 1.621.620
2 × 35 × 7 × 13 × 37 = 1.636.362
2 × 34 × 52 × 11 × 37 = 1.648.350
36 × 52 × 7 × 13 = 1.658.475
32 × 5 × 7 × 11 × 13 × 37 = 1.666.665
22 × 34 × 11 × 13 × 37 = 1.714.284
2 × 35 × 52 × 11 × 13 = 1.737.450
36 × 5 × 13 × 37 = 1.753.245
22 × 33 × 5 × 7 × 13 × 37 = 1.818.180
2 × 52 × 7 × 11 × 13 × 37 = 1.851.850
22 × 35 × 52 × 7 × 11 = 1.871.100
2 × 36 × 5 × 7 × 37 = 1.888.110
33 × 52 × 7 × 11 × 37 = 1.923.075
2 × 34 × 52 × 13 × 37 = 1.948.050
22 × 35 × 5 × 11 × 37 = 1.978.020
2 × 33 × 7 × 11 × 13 × 37 = 1.999.998
34 × 52 × 7 × 11 × 13 = 2.027.025
36 × 7 × 11 × 37 = 2.076.921
22 × 36 × 5 × 11 × 13 = 2.084.940
22 × 34 × 52 × 7 × 37 = 2.097.900
34 × 5 × 11 × 13 × 37 = 2.142.855
22 × 35 × 52 × 7 × 13 = 2.211.300
22 × 3 × 5 × 7 × 11 × 13 × 37 = 2.222.220
33 × 52 × 7 × 13 × 37 = 2.272.725
2 × 34 × 5 × 7 × 11 × 37 = 2.307.690
22 × 35 × 5 × 13 × 37 = 2.337.660
2 × 32 × 52 × 11 × 13 × 37 = 2.380.950
2 × 35 × 5 × 7 × 11 × 13 = 2.432.430
36 × 7 × 13 × 37 = 2.454.543
35 × 52 × 11 × 37 = 2.472.525
22 × 32 × 52 × 7 × 11 × 37 = 2.564.100
2 × 35 × 11 × 13 × 37 = 2.571.426
36 × 52 × 11 × 13 = 2.606.175
22 × 36 × 52 × 37 = 2.697.300
22 × 33 × 52 × 7 × 11 × 13 = 2.702.700
2 × 34 × 5 × 7 × 13 × 37 = 2.727.270
22 × 35 × 7 × 11 × 37 = 2.769.228
3 × 52 × 7 × 11 × 13 × 37 = 2.777.775
2 × 36 × 52 × 7 × 11 = 2.806.650
22 × 33 × 5 × 11 × 13 × 37 = 2.857.140
22 × 36 × 7 × 11 × 13 = 2.918.916
35 × 52 × 13 × 37 = 2.922.075
2 × 36 × 5 × 11 × 37 = 2.967.030
34 × 7 × 11 × 13 × 37 = 2.999.997
22 × 32 × 52 × 7 × 13 × 37 = 3.030.300
2 × 35 × 52 × 7 × 37 = 3.146.850
22 × 35 × 7 × 13 × 37 = 3.272.724
22 × 34 × 52 × 11 × 37 = 3.296.700
2 × 36 × 52 × 7 × 13 = 3.316.950
2 × 32 × 5 × 7 × 11 × 13 × 37 = 3.333.330
35 × 5 × 7 × 11 × 37 = 3.461.535
22 × 35 × 52 × 11 × 13 = 3.474.900
2 × 36 × 5 × 13 × 37 = 3.506.490
33 × 52 × 11 × 13 × 37 = 3.571.425
36 × 5 × 7 × 11 × 13 = 3.648.645
22 × 52 × 7 × 11 × 13 × 37 = 3.703.700
22 × 36 × 5 × 7 × 37 = 3.776.220
2 × 33 × 52 × 7 × 11 × 37 = 3.846.150
36 × 11 × 13 × 37 = 3.857.139
22 × 34 × 52 × 13 × 37 = 3.896.100
22 × 33 × 7 × 11 × 13 × 37 = 3.999.996
2 × 34 × 52 × 7 × 11 × 13 = 4.054.050
35 × 5 × 7 × 13 × 37 = 4.090.905
2 × 36 × 7 × 11 × 37 = 4.153.842
2 × 34 × 5 × 11 × 13 × 37 = 4.285.710
2 × 33 × 52 × 7 × 13 × 37 = 4.545.450
22 × 34 × 5 × 7 × 11 × 37 = 4.615.380
36 × 52 × 7 × 37 = 4.720.275
22 × 32 × 52 × 11 × 13 × 37 = 4.761.900
22 × 35 × 5 × 7 × 11 × 13 = 4.864.860
2 × 36 × 7 × 13 × 37 = 4.909.086
2 × 35 × 52 × 11 × 37 = 4.945.050
33 × 5 × 7 × 11 × 13 × 37 = 4.999.995
22 × 35 × 11 × 13 × 37 = 5.142.852
2 × 36 × 52 × 11 × 13 = 5.212.350
22 × 34 × 5 × 7 × 13 × 37 = 5.454.540
2 × 3 × 52 × 7 × 11 × 13 × 37 = 5.555.550
22 × 36 × 52 × 7 × 11 = 5.613.300
34 × 52 × 7 × 11 × 37 = 5.769.225
2 × 35 × 52 × 13 × 37 = 5.844.150
22 × 36 × 5 × 11 × 37 = 5.934.060
2 × 34 × 7 × 11 × 13 × 37 = 5.999.994
35 × 52 × 7 × 11 × 13 = 6.081.075
22 × 35 × 52 × 7 × 37 = 6.293.700
35 × 5 × 11 × 13 × 37 = 6.428.565
22 × 36 × 52 × 7 × 13 = 6.633.900
22 × 32 × 5 × 7 × 11 × 13 × 37 = 6.666.660
34 × 52 × 7 × 13 × 37 = 6.818.175
2 × 35 × 5 × 7 × 11 × 37 = 6.923.070
22 × 36 × 5 × 13 × 37 = 7.012.980
2 × 33 × 52 × 11 × 13 × 37 = 7.142.850
2 × 36 × 5 × 7 × 11 × 13 = 7.297.290
36 × 52 × 11 × 37 = 7.417.575
22 × 33 × 52 × 7 × 11 × 37 = 7.692.300
2 × 36 × 11 × 13 × 37 = 7.714.278
22 × 34 × 52 × 7 × 11 × 13 = 8.108.100
2 × 35 × 5 × 7 × 13 × 37 = 8.181.810
22 × 36 × 7 × 11 × 37 = 8.307.684
32 × 52 × 7 × 11 × 13 × 37 = 8.333.325
22 × 34 × 5 × 11 × 13 × 37 = 8.571.420
36 × 52 × 13 × 37 = 8.766.225
35 × 7 × 11 × 13 × 37 = 8.999.991
22 × 33 × 52 × 7 × 13 × 37 = 9.090.900
2 × 36 × 52 × 7 × 37 = 9.440.550
22 × 36 × 7 × 13 × 37 = 9.818.172
22 × 35 × 52 × 11 × 37 = 9.890.100
2 × 33 × 5 × 7 × 11 × 13 × 37 = 9.999.990
36 × 5 × 7 × 11 × 37 = 10.384.605
22 × 36 × 52 × 11 × 13 = 10.424.700
34 × 52 × 11 × 13 × 37 = 10.714.275
22 × 3 × 52 × 7 × 11 × 13 × 37 = 11.111.100
2 × 34 × 52 × 7 × 11 × 37 = 11.538.450
22 × 35 × 52 × 13 × 37 = 11.688.300
22 × 34 × 7 × 11 × 13 × 37 = 11.999.988
2 × 35 × 52 × 7 × 11 × 13 = 12.162.150
36 × 5 × 7 × 13 × 37 = 12.272.715
2 × 35 × 5 × 11 × 13 × 37 = 12.857.130
2 × 34 × 52 × 7 × 13 × 37 = 13.636.350
22 × 35 × 5 × 7 × 11 × 37 = 13.846.140
22 × 33 × 52 × 11 × 13 × 37 = 14.285.700
22 × 36 × 5 × 7 × 11 × 13 = 14.594.580
2 × 36 × 52 × 11 × 37 = 14.835.150
34 × 5 × 7 × 11 × 13 × 37 = 14.999.985
22 × 36 × 11 × 13 × 37 = 15.428.556
22 × 35 × 5 × 7 × 13 × 37 = 16.363.620
2 × 32 × 52 × 7 × 11 × 13 × 37 = 16.666.650
35 × 52 × 7 × 11 × 37 = 17.307.675
2 × 36 × 52 × 13 × 37 = 17.532.450
2 × 35 × 7 × 11 × 13 × 37 = 17.999.982
36 × 52 × 7 × 11 × 13 = 18.243.225
22 × 36 × 52 × 7 × 37 = 18.881.100
36 × 5 × 11 × 13 × 37 = 19.285.695
22 × 33 × 5 × 7 × 11 × 13 × 37 = 19.999.980
35 × 52 × 7 × 13 × 37 = 20.454.525
2 × 36 × 5 × 7 × 11 × 37 = 20.769.210
2 × 34 × 52 × 11 × 13 × 37 = 21.428.550
22 × 34 × 52 × 7 × 11 × 37 = 23.076.900
22 × 35 × 52 × 7 × 11 × 13 = 24.324.300
2 × 36 × 5 × 7 × 13 × 37 = 24.545.430
33 × 52 × 7 × 11 × 13 × 37 = 24.999.975
22 × 35 × 5 × 11 × 13 × 37 = 25.714.260
36 × 7 × 11 × 13 × 37 = 26.999.973
22 × 34 × 52 × 7 × 13 × 37 = 27.272.700
22 × 36 × 52 × 11 × 37 = 29.670.300
2 × 34 × 5 × 7 × 11 × 13 × 37 = 29.999.970
35 × 52 × 11 × 13 × 37 = 32.142.825
22 × 32 × 52 × 7 × 11 × 13 × 37 = 33.333.300
2 × 35 × 52 × 7 × 11 × 37 = 34.615.350
22 × 36 × 52 × 13 × 37 = 35.064.900
22 × 35 × 7 × 11 × 13 × 37 = 35.999.964
2 × 36 × 52 × 7 × 11 × 13 = 36.486.450
2 × 36 × 5 × 11 × 13 × 37 = 38.571.390
2 × 35 × 52 × 7 × 13 × 37 = 40.909.050
22 × 36 × 5 × 7 × 11 × 37 = 41.538.420
22 × 34 × 52 × 11 × 13 × 37 = 42.857.100
35 × 5 × 7 × 11 × 13 × 37 = 44.999.955
22 × 36 × 5 × 7 × 13 × 37 = 49.090.860
2 × 33 × 52 × 7 × 11 × 13 × 37 = 49.999.950
36 × 52 × 7 × 11 × 37 = 51.923.025
2 × 36 × 7 × 11 × 13 × 37 = 53.999.946
22 × 34 × 5 × 7 × 11 × 13 × 37 = 59.999.940
36 × 52 × 7 × 13 × 37 = 61.363.575
2 × 35 × 52 × 11 × 13 × 37 = 64.285.650
22 × 35 × 52 × 7 × 11 × 37 = 69.230.700
22 × 36 × 52 × 7 × 11 × 13 = 72.972.900
34 × 52 × 7 × 11 × 13 × 37 = 74.999.925
22 × 36 × 5 × 11 × 13 × 37 = 77.142.780
22 × 35 × 52 × 7 × 13 × 37 = 81.818.100
2 × 35 × 5 × 7 × 11 × 13 × 37 = 89.999.910
36 × 52 × 11 × 13 × 37 = 96.428.475
22 × 33 × 52 × 7 × 11 × 13 × 37 = 99.999.900
2 × 36 × 52 × 7 × 11 × 37 = 103.846.050
22 × 36 × 7 × 11 × 13 × 37 = 107.999.892
2 × 36 × 52 × 7 × 13 × 37 = 122.727.150
22 × 35 × 52 × 11 × 13 × 37 = 128.571.300
36 × 5 × 7 × 11 × 13 × 37 = 134.999.865
2 × 34 × 52 × 7 × 11 × 13 × 37 = 149.999.850
22 × 35 × 5 × 7 × 11 × 13 × 37 = 179.999.820
2 × 36 × 52 × 11 × 13 × 37 = 192.856.950
22 × 36 × 52 × 7 × 11 × 37 = 207.692.100
35 × 52 × 7 × 11 × 13 × 37 = 224.999.775
22 × 36 × 52 × 7 × 13 × 37 = 245.454.300
2 × 36 × 5 × 7 × 11 × 13 × 37 = 269.999.730
22 × 34 × 52 × 7 × 11 × 13 × 37 = 299.999.700
22 × 36 × 52 × 11 × 13 × 37 = 385.713.900
2 × 35 × 52 × 7 × 11 × 13 × 37 = 449.999.550
22 × 36 × 5 × 7 × 11 × 13 × 37 = 539.999.460
36 × 52 × 7 × 11 × 13 × 37 = 674.999.325
22 × 35 × 52 × 7 × 11 × 13 × 37 = 899.999.100
2 × 36 × 52 × 7 × 11 × 13 × 37 = 1.349.998.650
22 × 36 × 52 × 7 × 11 × 13 × 37 = 2.699.997.300

La respuesta final:
(desplazarse hacia abajo)

2.699.997.300 tiene 1.008 divisores:
1; 2; 3; 4; 5; 6; 7; 9; 10; 11; 12; 13; 14; 15; 18; 20; 21; 22; 25; 26; 27; 28; 30; 33; 35; 36; 37; 39; 42; 44; 45; 50; 52; 54; 55; 60; 63; 65; 66; 70; 74; 75; 77; 78; 81; 84; 90; 91; 99; 100; 105; 108; 110; 111; 117; 126; 130; 132; 135; 140; 143; 148; 150; 154; 156; 162; 165; 175; 180; 182; 185; 189; 195; 198; 210; 220; 222; 225; 231; 234; 243; 252; 259; 260; 270; 273; 275; 286; 297; 300; 308; 315; 324; 325; 330; 333; 350; 351; 364; 370; 378; 385; 390; 396; 405; 407; 420; 429; 444; 450; 455; 462; 468; 481; 486; 495; 518; 525; 540; 546; 550; 555; 567; 572; 585; 594; 630; 650; 660; 666; 675; 693; 700; 702; 715; 729; 740; 756; 770; 777; 780; 810; 814; 819; 825; 858; 891; 900; 910; 924; 925; 945; 962; 972; 975; 990; 999; 1.001; 1.036; 1.050; 1.053; 1.092; 1.100; 1.110; 1.134; 1.155; 1.170; 1.188; 1.215; 1.221; 1.260; 1.287; 1.295; 1.300; 1.332; 1.350; 1.365; 1.386; 1.404; 1.430; 1.443; 1.458; 1.485; 1.540; 1.554; 1.575; 1.620; 1.628; 1.638; 1.650; 1.665; 1.701; 1.716; 1.755; 1.782; 1.820; 1.850; 1.890; 1.924; 1.925; 1.950; 1.980; 1.998; 2.002; 2.025; 2.035; 2.079; 2.100; 2.106; 2.145; 2.220; 2.268; 2.275; 2.310; 2.331; 2.340; 2.405; 2.430; 2.442; 2.457; 2.475; 2.574; 2.590; 2.673; 2.700; 2.730; 2.772; 2.775; 2.835; 2.849; 2.860; 2.886; 2.916; 2.925; 2.970; 2.997; 3.003; 3.108; 3.150; 3.159; 3.276; 3.300; 3.330; 3.367; 3.402; 3.465; 3.510; 3.564; 3.575; 3.645; 3.663; 3.700; 3.780; 3.850; 3.861; 3.885; 3.900; 3.996; 4.004; 4.050; 4.070; 4.095; 4.158; 4.212; 4.290; 4.329; 4.455; 4.550; 4.620; 4.662; 4.725; 4.810; 4.860; 4.884; 4.914; 4.950; 4.995; 5.005; 5.103; 5.148; 5.180; 5.265; 5.291; 5.346; 5.460; 5.550; 5.670; 5.698; 5.772; 5.775; 5.850; 5.940; 5.994; 6.006; 6.075; 6.105; 6.237; 6.300; 6.318; 6.435; 6.475; 6.660; 6.734; 6.804; 6.825; 6.930; 6.993; 7.020; 7.150; 7.215; 7.290; 7.326; 7.371; 7.425; 7.700; 7.722; 7.770; 8.019; 8.100; 8.140; 8.190; 8.316; 8.325; 8.505; 8.547; 8.580; 8.658; 8.775; 8.910; 8.991; 9.009; 9.100; 9.324; 9.450; 9.477; 9.620; 9.828; 9.900; 9.990; 10.010; 10.101; 10.175; 10.206; 10.395; 10.530; 10.582; 10.692; 10.725; 10.989; 11.100; 11.340; 11.396; 11.550; 11.583; 11.655; 11.700; 11.988; 12.012; 12.025; 12.150; 12.210; 12.285; 12.474; 12.636; 12.870; 12.950; 12.987; 13.365; 13.468; 13.650; 13.860; 13.986; 14.175; 14.245; 14.300; 14.430; 14.580; 14.652; 14.742; 14.850; 14.985; 15.015; 15.444; 15.540; 15.795; 15.873; 16.038; 16.380; 16.650; 16.835; 17.010; 17.094; 17.316; 17.325; 17.550; 17.820; 17.982; 18.018; 18.225; 18.315; 18.711; 18.900; 18.954; 19.305; 19.425; 19.980; 20.020; 20.202; 20.350; 20.412; 20.475; 20.790; 20.979; 21.060; 21.164; 21.450; 21.645; 21.978; 22.113; 22.275; 23.100; 23.166; 23.310; 24.050; 24.300; 24.420; 24.570; 24.948; 24.975; 25.025; 25.515; 25.641; 25.740; 25.900; 25.974; 26.325; 26.455; 26.730; 26.973; 27.027; 27.300; 27.972; 28.350; 28.490; 28.860; 29.484; 29.700; 29.970; 30.030; 30.303; 30.525; 31.185; 31.590; 31.746; 32.076; 32.175; 32.967; 33.300; 33.670; 34.020; 34.188; 34.650; 34.749; 34.965; 35.100; 35.964; 36.036; 36.075; 36.450; 36.630; 36.855; 37.037; 37.422; 37.908; 38.610; 38.850; 38.961; 40.095; 40.404; 40.700; 40.950; 41.580; 41.958; 42.525; 42.735; 42.900; 43.290; 43.956; 44.226; 44.550; 44.955; 45.045; 46.332; 46.620; 47.385; 47.619; 48.100; 49.140; 49.950; 50.050; 50.505; 51.030; 51.282; 51.948; 51.975; 52.650; 52.910; 53.460; 53.946; 54.054; 54.945; 56.133; 56.700; 56.980; 57.915; 58.275; 59.940; 60.060; 60.606; 61.050; 61.425; 62.370; 62.937; 63.180; 63.492; 64.350; 64.935; 65.934; 66.339; 66.825; 67.340; 69.300; 69.498; 69.930; 71.225; 72.150; 72.900; 73.260; 73.710; 74.074; 74.844; 74.925; 75.075; 76.923; 77.220; 77.700; 77.922; 78.975; 79.365; 80.190; 81.081; 81.900; 83.916; 84.175; 85.050; 85.470; 86.580; 88.452; 89.100; 89.910; 90.090; 90.909; 91.575; 93.555; 94.770; 95.238; 96.525; 98.901; 99.900; 100.100; 101.010; 102.060; 102.564; 103.950; 104.247; 104.895; 105.300; 105.820; 107.892; 108.108; 108.225; 109.890; 110.565; 111.111; 112.266; 115.830; 116.550; 116.883; 121.212; 122.100; 122.850; 124.740; 125.874; 127.575; 128.205; 128.700; 129.870; 131.868; 132.275; 132.678; 133.650; 134.865; 135.135; 138.996; 139.860; 142.450; 142.857; 144.300; 147.420; 148.148; 149.850; 150.150; 151.515; 153.846; 155.844; 155.925; 157.950; 158.730; 160.380; 162.162; 164.835; 168.350; 170.100; 170.940; 173.745; 174.825; 179.820; 180.180; 181.818; 183.150; 184.275; 185.185; 187.110; 188.811; 189.540; 190.476; 193.050; 194.805; 197.802; 200.475; 202.020; 207.900; 208.494; 209.790; 213.675; 216.450; 219.780; 221.130; 222.222; 224.532; 224.775; 225.225; 230.769; 231.660; 233.100; 233.766; 236.925; 238.095; 243.243; 245.700; 251.748; 252.525; 255.150; 256.410; 259.740; 264.550; 265.356; 267.300; 269.730; 270.270; 272.727; 274.725; 280.665; 284.900; 285.714; 289.575; 296.703; 299.700; 300.300; 303.030; 307.692; 311.850; 314.685; 315.900; 317.460; 324.324; 324.675; 329.670; 331.695; 333.333; 336.700; 347.490; 349.650; 350.649; 363.636; 366.300; 368.550; 370.370; 374.220; 377.622; 384.615; 386.100; 389.610; 395.604; 396.825; 400.950; 405.405; 416.988; 419.580; 427.350; 428.571; 432.900; 442.260; 444.444; 449.550; 450.450; 454.545; 461.538; 467.532; 467.775; 473.850; 476.190; 486.486; 494.505; 505.050; 510.300; 512.820; 521.235; 524.475; 529.100; 539.460; 540.540; 545.454; 549.450; 552.825; 555.555; 561.330; 571.428; 579.150; 584.415; 593.406; 606.060; 623.700; 629.370; 641.025; 649.350; 659.340; 663.390; 666.666; 674.325; 675.675; 692.307; 694.980; 699.300; 701.298; 714.285; 729.729; 737.100; 740.740; 755.244; 757.575; 769.230; 779.220; 793.650; 801.900; 810.810; 818.181; 824.175; 854.700; 857.142; 868.725; 899.100; 900.900; 909.090; 923.076; 925.925; 935.550; 944.055; 947.700; 952.380; 972.972; 974.025; 989.010; 999.999; 1.010.100; 1.042.470; 1.048.950; 1.090.908; 1.098.900; 1.105.650; 1.111.110; 1.122.660; 1.153.845; 1.158.300; 1.168.830; 1.186.812; 1.190.475; 1.216.215; 1.258.740; 1.282.050; 1.285.713; 1.298.700; 1.326.780; 1.333.332; 1.348.650; 1.351.350; 1.363.635; 1.384.614; 1.402.596; 1.403.325; 1.428.570; 1.459.458; 1.483.515; 1.515.150; 1.538.460; 1.573.425; 1.587.300; 1.621.620; 1.636.362; 1.648.350; 1.658.475; 1.666.665; 1.714.284; 1.737.450; 1.753.245; 1.818.180; 1.851.850; 1.871.100; 1.888.110; 1.923.075; 1.948.050; 1.978.020; 1.999.998; 2.027.025; 2.076.921; 2.084.940; 2.097.900; 2.142.855; 2.211.300; 2.222.220; 2.272.725; 2.307.690; 2.337.660; 2.380.950; 2.432.430; 2.454.543; 2.472.525; 2.564.100; 2.571.426; 2.606.175; 2.697.300; 2.702.700; 2.727.270; 2.769.228; 2.777.775; 2.806.650; 2.857.140; 2.918.916; 2.922.075; 2.967.030; 2.999.997; 3.030.300; 3.146.850; 3.272.724; 3.296.700; 3.316.950; 3.333.330; 3.461.535; 3.474.900; 3.506.490; 3.571.425; 3.648.645; 3.703.700; 3.776.220; 3.846.150; 3.857.139; 3.896.100; 3.999.996; 4.054.050; 4.090.905; 4.153.842; 4.285.710; 4.545.450; 4.615.380; 4.720.275; 4.761.900; 4.864.860; 4.909.086; 4.945.050; 4.999.995; 5.142.852; 5.212.350; 5.454.540; 5.555.550; 5.613.300; 5.769.225; 5.844.150; 5.934.060; 5.999.994; 6.081.075; 6.293.700; 6.428.565; 6.633.900; 6.666.660; 6.818.175; 6.923.070; 7.012.980; 7.142.850; 7.297.290; 7.417.575; 7.692.300; 7.714.278; 8.108.100; 8.181.810; 8.307.684; 8.333.325; 8.571.420; 8.766.225; 8.999.991; 9.090.900; 9.440.550; 9.818.172; 9.890.100; 9.999.990; 10.384.605; 10.424.700; 10.714.275; 11.111.100; 11.538.450; 11.688.300; 11.999.988; 12.162.150; 12.272.715; 12.857.130; 13.636.350; 13.846.140; 14.285.700; 14.594.580; 14.835.150; 14.999.985; 15.428.556; 16.363.620; 16.666.650; 17.307.675; 17.532.450; 17.999.982; 18.243.225; 18.881.100; 19.285.695; 19.999.980; 20.454.525; 20.769.210; 21.428.550; 23.076.900; 24.324.300; 24.545.430; 24.999.975; 25.714.260; 26.999.973; 27.272.700; 29.670.300; 29.999.970; 32.142.825; 33.333.300; 34.615.350; 35.064.900; 35.999.964; 36.486.450; 38.571.390; 40.909.050; 41.538.420; 42.857.100; 44.999.955; 49.090.860; 49.999.950; 51.923.025; 53.999.946; 59.999.940; 61.363.575; 64.285.650; 69.230.700; 72.972.900; 74.999.925; 77.142.780; 81.818.100; 89.999.910; 96.428.475; 99.999.900; 103.846.050; 107.999.892; 122.727.150; 128.571.300; 134.999.865; 149.999.850; 179.999.820; 192.856.950; 207.692.100; 224.999.775; 245.454.300; 269.999.730; 299.999.700; 385.713.900; 449.999.550; 539.999.460; 674.999.325; 899.999.100; 1.349.998.650 y 2.699.997.300
de los cuales 7 factores primos: 2; 3; 5; 7; 11; 13 y 37

Una forma rápida de encontrar los divisores de un número es descomponerlo en factores primos.


Luego multiplica los factores primos y sus exponentes, si los hay, en todas sus diferentes combinaciones.


Divisores, divisores comunes, el máximo común divisor, MCD

  • Si el número "t" es un divisor del número "a", entonces en la descomposición en factores primos de "t" solo encontraremos factores primos que también ocurren en la descomposición en factores primos de "a".
  • Si hay exponentes involucrados, el valor máximo de un exponente para cualquier base de una potencia que se encuentra en la descomposición en factores primos de "t" es como máximo igual al exponente de la misma base que está involucrado en la descomposición en factores primos de "a".
  • Nota: 23 = 2 × 2 × 2 = 8. Decimos que 2 fue elevado a la potencia de 3, o más simple, 2 elevado a 3. En este ejemplo, 3 es el exponente y 2 es la base. El exponente indica cuántas veces se multiplica la base por sí misma. 23 es la potencia y 8 es el valor de la potencia.
  • Por ejemplo, 12 es un divisor de 120 - el resto es cero al dividir 120 por 12.
  • Miremos la descomposición en factores primos de ambos números y observemos las bases y los exponentes de los factores primos que ocurren en la descomposición en factores primos de ambos números:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contiene todos los factores primos de 12, y todos los exponentes de sus bases son mayores que los de 12.
  • Si "t" es un divisor común de "a" y "b", entonces la descomposición en factores primos de "t" contiene solo los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b".
  • Si hay exponentes involucrados: el valor máximo de un exponente de cualquier base de una potencia que se encuentra en la factorización prima del número "t" - es como máximo igual al mínimo de los exponentes de la misma base que ocurre en el descomposición en factores primos de los números "a" y "b".
  • Por ejemplo, 12 es el divisor común de 48 y 360.
  • El resto es cero al dividir 48 o 360 por 12.
  • Aquí están las descomposición en factores primos de los tres números, 12, 48 y 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Ten en cuenta que 48 y 360 tienen más divisores: 2, 3, 4, 6, 8, 12, 24. Entre ellos, 24 es el máximo común divisor, mcd, de 48 y 360.
  • El máximo común divisor, mcd, de dos números, "a" y "b", es el producto de todos los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b", tomados por los exponentes más bajos.
  • Con base en esta regla, se calcula el máximo común divisor, mcd, de varios números, como se muestra en el siguiente ejemplo...
  • mcd (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Los factores primos comunes son:
  • 2 - su exponente más bajo es: min. (2; 3; 4) = 2
  • 3 - su exponente más bajo es: min. (2; 2; 2) = 2
  • mcd (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Números que son primos entre sí (coprimos, primos relativos):
  • Si dos números "a" y "b" no tienen más divisores comunes que 1, mcd (a; b) = 1, entonces los números "a" y "b" se llaman primos entre sí (coprimos, primos relativos).
  • Divisores del MCD
  • Si "a" y "b" no son primos entre sí, entonces todo divisor común de "a" y "b" es también un divisor del máximo común divisor, mcd, de "a" y "b".