1.964.655.000: Calcula todos los divisores del número 1.964.655.000 (y los factores primos)

Los divisores del número 1.964.655.000

1. Realizar la descomposición del número 1.964.655.000 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.

1.964.655.000 = 23 × 36 × 54 × 72 × 11
1.964.655.000 no es un numero primo sino un numero compuesto.

» Calculadora online. ¿El número es primo o compuesto? La descomposición en factores primos de números compuestos

* 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.


2. Multiplica los factores primos del número 1.964.655.000

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
23 = 8
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
52 = 25
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
72 = 49
2 × 52 = 50
2 × 33 = 54
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
7 × 11 = 77
34 = 81
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
2 × 72 = 98
32 × 11 = 99
22 × 52 = 100
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
23 × 3 × 5 = 120
53 = 125
2 × 32 × 7 = 126
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
3 × 72 = 147
2 × 3 × 52 = 150
2 × 7 × 11 = 154
2 × 34 = 162
3 × 5 × 11 = 165
23 × 3 × 7 = 168
52 × 7 = 175
22 × 32 × 5 = 180
33 × 7 = 189
22 × 72 = 196
2 × 32 × 11 = 198
23 × 52 = 200
2 × 3 × 5 × 7 = 210
23 × 33 = 216
22 × 5 × 11 = 220
32 × 52 = 225
3 × 7 × 11 = 231
35 = 243
5 × 72 = 245
2 × 53 = 250
22 × 32 × 7 = 252
23 × 3 × 11 = 264
2 × 33 × 5 = 270
52 × 11 = 275
23 × 5 × 7 = 280
2 × 3 × 72 = 294
33 × 11 = 297
22 × 3 × 52 = 300
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
2 × 3 × 5 × 11 = 330
2 × 52 × 7 = 350
23 × 32 × 5 = 360
3 × 53 = 375
2 × 33 × 7 = 378
5 × 7 × 11 = 385
23 × 72 = 392
22 × 32 × 11 = 396
34 × 5 = 405
22 × 3 × 5 × 7 = 420
23 × 5 × 11 = 440
32 × 72 = 441
2 × 32 × 52 = 450
2 × 3 × 7 × 11 = 462
2 × 35 = 486
2 × 5 × 72 = 490
32 × 5 × 11 = 495
22 × 53 = 500
23 × 32 × 7 = 504
3 × 52 × 7 = 525
72 × 11 = 539
22 × 33 × 5 = 540
2 × 52 × 11 = 550
34 × 7 = 567
22 × 3 × 72 = 588
2 × 33 × 11 = 594
23 × 3 × 52 = 600
23 × 7 × 11 = 616
54 = 625
2 × 32 × 5 × 7 = 630
23 × 34 = 648
22 × 3 × 5 × 11 = 660
33 × 52 = 675
32 × 7 × 11 = 693
22 × 52 × 7 = 700
36 = 729
3 × 5 × 72 = 735
2 × 3 × 53 = 750
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
23 × 32 × 11 = 792
2 × 34 × 5 = 810
3 × 52 × 11 = 825
23 × 3 × 5 × 7 = 840
53 × 7 = 875
2 × 32 × 72 = 882
34 × 11 = 891
22 × 32 × 52 = 900
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
22 × 35 = 972
22 × 5 × 72 = 980
2 × 32 × 5 × 11 = 990
23 × 53 = 1.000
2 × 3 × 52 × 7 = 1.050
2 × 72 × 11 = 1.078
23 × 33 × 5 = 1.080
22 × 52 × 11 = 1.100
32 × 53 = 1.125
2 × 34 × 7 = 1.134
3 × 5 × 7 × 11 = 1.155
23 × 3 × 72 = 1.176
22 × 33 × 11 = 1.188
35 × 5 = 1.215
52 × 72 = 1.225
2 × 54 = 1.250
22 × 32 × 5 × 7 = 1.260
23 × 3 × 5 × 11 = 1.320
33 × 72 = 1.323
2 × 33 × 52 = 1.350
53 × 11 = 1.375
2 × 32 × 7 × 11 = 1.386
23 × 52 × 7 = 1.400
2 × 36 = 1.458
2 × 3 × 5 × 72 = 1.470
33 × 5 × 11 = 1.485
22 × 3 × 53 = 1.500
23 × 33 × 7 = 1.512
22 × 5 × 7 × 11 = 1.540
32 × 52 × 7 = 1.575
3 × 72 × 11 = 1.617
22 × 34 × 5 = 1.620
2 × 3 × 52 × 11 = 1.650
35 × 7 = 1.701
2 × 53 × 7 = 1.750
22 × 32 × 72 = 1.764
2 × 34 × 11 = 1.782
23 × 32 × 52 = 1.800
23 × 3 × 7 × 11 = 1.848
3 × 54 = 1.875
2 × 33 × 5 × 7 = 1.890
52 × 7 × 11 = 1.925
23 × 35 = 1.944
23 × 5 × 72 = 1.960
22 × 32 × 5 × 11 = 1.980
34 × 52 = 2.025
33 × 7 × 11 = 2.079
22 × 3 × 52 × 7 = 2.100
22 × 72 × 11 = 2.156
23 × 52 × 11 = 2.200
32 × 5 × 72 = 2.205
2 × 32 × 53 = 2.250
22 × 34 × 7 = 2.268
2 × 3 × 5 × 7 × 11 = 2.310
23 × 33 × 11 = 2.376
2 × 35 × 5 = 2.430
2 × 52 × 72 = 2.450
32 × 52 × 11 = 2.475
22 × 54 = 2.500
23 × 32 × 5 × 7 = 2.520
3 × 53 × 7 = 2.625
2 × 33 × 72 = 2.646
35 × 11 = 2.673
5 × 72 × 11 = 2.695
22 × 33 × 52 = 2.700
2 × 53 × 11 = 2.750
22 × 32 × 7 × 11 = 2.772
34 × 5 × 7 = 2.835
22 × 36 = 2.916
22 × 3 × 5 × 72 = 2.940
2 × 33 × 5 × 11 = 2.970
23 × 3 × 53 = 3.000
23 × 5 × 7 × 11 = 3.080
2 × 32 × 52 × 7 = 3.150
2 × 3 × 72 × 11 = 3.234
23 × 34 × 5 = 3.240
22 × 3 × 52 × 11 = 3.300
33 × 53 = 3.375
2 × 35 × 7 = 3.402
32 × 5 × 7 × 11 = 3.465
22 × 53 × 7 = 3.500
23 × 32 × 72 = 3.528
22 × 34 × 11 = 3.564
36 × 5 = 3.645
3 × 52 × 72 = 3.675
2 × 3 × 54 = 3.750
22 × 33 × 5 × 7 = 3.780
2 × 52 × 7 × 11 = 3.850
23 × 32 × 5 × 11 = 3.960
34 × 72 = 3.969
2 × 34 × 52 = 4.050
3 × 53 × 11 = 4.125
2 × 33 × 7 × 11 = 4.158
23 × 3 × 52 × 7 = 4.200
23 × 72 × 11 = 4.312
54 × 7 = 4.375
2 × 32 × 5 × 72 = 4.410
34 × 5 × 11 = 4.455
22 × 32 × 53 = 4.500
23 × 34 × 7 = 4.536
22 × 3 × 5 × 7 × 11 = 4.620
33 × 52 × 7 = 4.725
32 × 72 × 11 = 4.851
22 × 35 × 5 = 4.860
22 × 52 × 72 = 4.900
2 × 32 × 52 × 11 = 4.950
23 × 54 = 5.000
36 × 7 = 5.103
2 × 3 × 53 × 7 = 5.250
22 × 33 × 72 = 5.292
2 × 35 × 11 = 5.346
2 × 5 × 72 × 11 = 5.390
23 × 33 × 52 = 5.400
22 × 53 × 11 = 5.500
23 × 32 × 7 × 11 = 5.544
32 × 54 = 5.625
2 × 34 × 5 × 7 = 5.670
3 × 52 × 7 × 11 = 5.775
23 × 36 = 5.832
23 × 3 × 5 × 72 = 5.880
22 × 33 × 5 × 11 = 5.940
35 × 52 = 6.075
53 × 72 = 6.125
34 × 7 × 11 = 6.237
22 × 32 × 52 × 7 = 6.300
22 × 3 × 72 × 11 = 6.468
23 × 3 × 52 × 11 = 6.600
33 × 5 × 72 = 6.615
2 × 33 × 53 = 6.750
22 × 35 × 7 = 6.804
54 × 11 = 6.875
2 × 32 × 5 × 7 × 11 = 6.930
23 × 53 × 7 = 7.000
23 × 34 × 11 = 7.128
2 × 36 × 5 = 7.290
2 × 3 × 52 × 72 = 7.350
33 × 52 × 11 = 7.425
22 × 3 × 54 = 7.500
23 × 33 × 5 × 7 = 7.560
22 × 52 × 7 × 11 = 7.700
32 × 53 × 7 = 7.875
2 × 34 × 72 = 7.938
36 × 11 = 8.019
3 × 5 × 72 × 11 = 8.085
22 × 34 × 52 = 8.100
2 × 3 × 53 × 11 = 8.250
22 × 33 × 7 × 11 = 8.316
35 × 5 × 7 = 8.505
2 × 54 × 7 = 8.750
22 × 32 × 5 × 72 = 8.820
2 × 34 × 5 × 11 = 8.910
23 × 32 × 53 = 9.000
23 × 3 × 5 × 7 × 11 = 9.240
2 × 33 × 52 × 7 = 9.450
53 × 7 × 11 = 9.625
2 × 32 × 72 × 11 = 9.702
23 × 35 × 5 = 9.720
23 × 52 × 72 = 9.800
22 × 32 × 52 × 11 = 9.900
34 × 53 = 10.125
2 × 36 × 7 = 10.206
33 × 5 × 7 × 11 = 10.395
22 × 3 × 53 × 7 = 10.500
23 × 33 × 72 = 10.584
22 × 35 × 11 = 10.692
22 × 5 × 72 × 11 = 10.780
23 × 53 × 11 = 11.000
32 × 52 × 72 = 11.025
2 × 32 × 54 = 11.250
22 × 34 × 5 × 7 = 11.340
2 × 3 × 52 × 7 × 11 = 11.550
23 × 33 × 5 × 11 = 11.880
35 × 72 = 11.907
2 × 35 × 52 = 12.150
2 × 53 × 72 = 12.250
32 × 53 × 11 = 12.375
2 × 34 × 7 × 11 = 12.474
23 × 32 × 52 × 7 = 12.600
23 × 3 × 72 × 11 = 12.936
3 × 54 × 7 = 13.125
2 × 33 × 5 × 72 = 13.230
35 × 5 × 11 = 13.365
52 × 72 × 11 = 13.475
22 × 33 × 53 = 13.500
23 × 35 × 7 = 13.608
2 × 54 × 11 = 13.750
22 × 32 × 5 × 7 × 11 = 13.860
34 × 52 × 7 = 14.175
33 × 72 × 11 = 14.553
22 × 36 × 5 = 14.580
22 × 3 × 52 × 72 = 14.700
2 × 33 × 52 × 11 = 14.850
23 × 3 × 54 = 15.000
23 × 52 × 7 × 11 = 15.400
2 × 32 × 53 × 7 = 15.750
22 × 34 × 72 = 15.876
2 × 36 × 11 = 16.038
2 × 3 × 5 × 72 × 11 = 16.170
23 × 34 × 52 = 16.200
22 × 3 × 53 × 11 = 16.500
23 × 33 × 7 × 11 = 16.632
33 × 54 = 16.875
2 × 35 × 5 × 7 = 17.010
32 × 52 × 7 × 11 = 17.325
22 × 54 × 7 = 17.500
23 × 32 × 5 × 72 = 17.640
22 × 34 × 5 × 11 = 17.820
36 × 52 = 18.225
3 × 53 × 72 = 18.375
35 × 7 × 11 = 18.711
22 × 33 × 52 × 7 = 18.900
2 × 53 × 7 × 11 = 19.250
22 × 32 × 72 × 11 = 19.404
23 × 32 × 52 × 11 = 19.800
34 × 5 × 72 = 19.845
2 × 34 × 53 = 20.250
22 × 36 × 7 = 20.412
3 × 54 × 11 = 20.625
2 × 33 × 5 × 7 × 11 = 20.790
23 × 3 × 53 × 7 = 21.000
23 × 35 × 11 = 21.384
23 × 5 × 72 × 11 = 21.560
2 × 32 × 52 × 72 = 22.050
34 × 52 × 11 = 22.275
22 × 32 × 54 = 22.500
23 × 34 × 5 × 7 = 22.680
22 × 3 × 52 × 7 × 11 = 23.100
33 × 53 × 7 = 23.625
2 × 35 × 72 = 23.814
32 × 5 × 72 × 11 = 24.255
22 × 35 × 52 = 24.300
22 × 53 × 72 = 24.500
2 × 32 × 53 × 11 = 24.750
22 × 34 × 7 × 11 = 24.948
36 × 5 × 7 = 25.515
2 × 3 × 54 × 7 = 26.250
22 × 33 × 5 × 72 = 26.460
2 × 35 × 5 × 11 = 26.730
2 × 52 × 72 × 11 = 26.950
23 × 33 × 53 = 27.000
22 × 54 × 11 = 27.500
23 × 32 × 5 × 7 × 11 = 27.720
2 × 34 × 52 × 7 = 28.350
3 × 53 × 7 × 11 = 28.875
2 × 33 × 72 × 11 = 29.106
23 × 36 × 5 = 29.160
23 × 3 × 52 × 72 = 29.400
22 × 33 × 52 × 11 = 29.700
35 × 53 = 30.375
54 × 72 = 30.625
34 × 5 × 7 × 11 = 31.185
22 × 32 × 53 × 7 = 31.500
23 × 34 × 72 = 31.752
22 × 36 × 11 = 32.076
22 × 3 × 5 × 72 × 11 = 32.340
23 × 3 × 53 × 11 = 33.000
33 × 52 × 72 = 33.075
2 × 33 × 54 = 33.750
22 × 35 × 5 × 7 = 34.020
2 × 32 × 52 × 7 × 11 = 34.650
23 × 54 × 7 = 35.000
23 × 34 × 5 × 11 = 35.640
36 × 72 = 35.721
2 × 36 × 52 = 36.450
2 × 3 × 53 × 72 = 36.750
33 × 53 × 11 = 37.125
2 × 35 × 7 × 11 = 37.422
23 × 33 × 52 × 7 = 37.800
22 × 53 × 7 × 11 = 38.500
23 × 32 × 72 × 11 = 38.808
32 × 54 × 7 = 39.375
2 × 34 × 5 × 72 = 39.690
36 × 5 × 11 = 40.095
3 × 52 × 72 × 11 = 40.425
22 × 34 × 53 = 40.500
23 × 36 × 7 = 40.824
2 × 3 × 54 × 11 = 41.250
22 × 33 × 5 × 7 × 11 = 41.580
35 × 52 × 7 = 42.525
34 × 72 × 11 = 43.659
22 × 32 × 52 × 72 = 44.100
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2 × 34 × 52 × 11 = 44.550
23 × 32 × 54 = 45.000
23 × 3 × 52 × 7 × 11 = 46.200
2 × 33 × 53 × 7 = 47.250
22 × 35 × 72 = 47.628
54 × 7 × 11 = 48.125
2 × 32 × 5 × 72 × 11 = 48.510
23 × 35 × 52 = 48.600
23 × 53 × 72 = 49.000
22 × 32 × 53 × 11 = 49.500
23 × 34 × 7 × 11 = 49.896
34 × 54 = 50.625
2 × 36 × 5 × 7 = 51.030
33 × 52 × 7 × 11 = 51.975
22 × 3 × 54 × 7 = 52.500
23 × 33 × 5 × 72 = 52.920
22 × 35 × 5 × 11 = 53.460
22 × 52 × 72 × 11 = 53.900
23 × 54 × 11 = 55.000
32 × 53 × 72 = 55.125
36 × 7 × 11 = 56.133
22 × 34 × 52 × 7 = 56.700
2 × 3 × 53 × 7 × 11 = 57.750
22 × 33 × 72 × 11 = 58.212
23 × 33 × 52 × 11 = 59.400
35 × 5 × 72 = 59.535
2 × 35 × 53 = 60.750
2 × 54 × 72 = 61.250
32 × 54 × 11 = 61.875
2 × 34 × 5 × 7 × 11 = 62.370
23 × 32 × 53 × 7 = 63.000
23 × 36 × 11 = 64.152
23 × 3 × 5 × 72 × 11 = 64.680
2 × 33 × 52 × 72 = 66.150
35 × 52 × 11 = 66.825
53 × 72 × 11 = 67.375
22 × 33 × 54 = 67.500
23 × 35 × 5 × 7 = 68.040
22 × 32 × 52 × 7 × 11 = 69.300
34 × 53 × 7 = 70.875
2 × 36 × 72 = 71.442
33 × 5 × 72 × 11 = 72.765
22 × 36 × 52 = 72.900
22 × 3 × 53 × 72 = 73.500
2 × 33 × 53 × 11 = 74.250
22 × 35 × 7 × 11 = 74.844
23 × 53 × 7 × 11 = 77.000
2 × 32 × 54 × 7 = 78.750
22 × 34 × 5 × 72 = 79.380
2 × 36 × 5 × 11 = 80.190
2 × 3 × 52 × 72 × 11 = 80.850
23 × 34 × 53 = 81.000
22 × 3 × 54 × 11 = 82.500
23 × 33 × 5 × 7 × 11 = 83.160
2 × 35 × 52 × 7 = 85.050
32 × 53 × 7 × 11 = 86.625
2 × 34 × 72 × 11 = 87.318
23 × 32 × 52 × 72 = 88.200
22 × 34 × 52 × 11 = 89.100
36 × 53 = 91.125
3 × 54 × 72 = 91.875
35 × 5 × 7 × 11 = 93.555
22 × 33 × 53 × 7 = 94.500
23 × 35 × 72 = 95.256
2 × 54 × 7 × 11 = 96.250
22 × 32 × 5 × 72 × 11 = 97.020
23 × 32 × 53 × 11 = 99.000
34 × 52 × 72 = 99.225
2 × 34 × 54 = 101.250
22 × 36 × 5 × 7 = 102.060
2 × 33 × 52 × 7 × 11 = 103.950
23 × 3 × 54 × 7 = 105.000
23 × 35 × 5 × 11 = 106.920
23 × 52 × 72 × 11 = 107.800
2 × 32 × 53 × 72 = 110.250
34 × 53 × 11 = 111.375
2 × 36 × 7 × 11 = 112.266
23 × 34 × 52 × 7 = 113.400
22 × 3 × 53 × 7 × 11 = 115.500
23 × 33 × 72 × 11 = 116.424
33 × 54 × 7 = 118.125
2 × 35 × 5 × 72 = 119.070
32 × 52 × 72 × 11 = 121.275
22 × 35 × 53 = 121.500
22 × 54 × 72 = 122.500
2 × 32 × 54 × 11 = 123.750
22 × 34 × 5 × 7 × 11 = 124.740
36 × 52 × 7 = 127.575
35 × 72 × 11 = 130.977
22 × 33 × 52 × 72 = 132.300
2 × 35 × 52 × 11 = 133.650
2 × 53 × 72 × 11 = 134.750
23 × 33 × 54 = 135.000
23 × 32 × 52 × 7 × 11 = 138.600
2 × 34 × 53 × 7 = 141.750
22 × 36 × 72 = 142.884
3 × 54 × 7 × 11 = 144.375
2 × 33 × 5 × 72 × 11 = 145.530
23 × 36 × 52 = 145.800
23 × 3 × 53 × 72 = 147.000
22 × 33 × 53 × 11 = 148.500
23 × 35 × 7 × 11 = 149.688
35 × 54 = 151.875
34 × 52 × 7 × 11 = 155.925
22 × 32 × 54 × 7 = 157.500
23 × 34 × 5 × 72 = 158.760
22 × 36 × 5 × 11 = 160.380
22 × 3 × 52 × 72 × 11 = 161.700
23 × 3 × 54 × 11 = 165.000
33 × 53 × 72 = 165.375
22 × 35 × 52 × 7 = 170.100
2 × 32 × 53 × 7 × 11 = 173.250
22 × 34 × 72 × 11 = 174.636
23 × 34 × 52 × 11 = 178.200
36 × 5 × 72 = 178.605
2 × 36 × 53 = 182.250
2 × 3 × 54 × 72 = 183.750
33 × 54 × 11 = 185.625
2 × 35 × 5 × 7 × 11 = 187.110
23 × 33 × 53 × 7 = 189.000
22 × 54 × 7 × 11 = 192.500
23 × 32 × 5 × 72 × 11 = 194.040
2 × 34 × 52 × 72 = 198.450
36 × 52 × 11 = 200.475
3 × 53 × 72 × 11 = 202.125
22 × 34 × 54 = 202.500
23 × 36 × 5 × 7 = 204.120
22 × 33 × 52 × 7 × 11 = 207.900
35 × 53 × 7 = 212.625
34 × 5 × 72 × 11 = 218.295
22 × 32 × 53 × 72 = 220.500
2 × 34 × 53 × 11 = 222.750
22 × 36 × 7 × 11 = 224.532
23 × 3 × 53 × 7 × 11 = 231.000
2 × 33 × 54 × 7 = 236.250
22 × 35 × 5 × 72 = 238.140
2 × 32 × 52 × 72 × 11 = 242.550
23 × 35 × 53 = 243.000
23 × 54 × 72 = 245.000
22 × 32 × 54 × 11 = 247.500
23 × 34 × 5 × 7 × 11 = 249.480
2 × 36 × 52 × 7 = 255.150
33 × 53 × 7 × 11 = 259.875
2 × 35 × 72 × 11 = 261.954
23 × 33 × 52 × 72 = 264.600
22 × 35 × 52 × 11 = 267.300
22 × 53 × 72 × 11 = 269.500
32 × 54 × 72 = 275.625
36 × 5 × 7 × 11 = 280.665
22 × 34 × 53 × 7 = 283.500
23 × 36 × 72 = 285.768
2 × 3 × 54 × 7 × 11 = 288.750
22 × 33 × 5 × 72 × 11 = 291.060
23 × 33 × 53 × 11 = 297.000
35 × 52 × 72 = 297.675
2 × 35 × 54 = 303.750
2 × 34 × 52 × 7 × 11 = 311.850
23 × 32 × 54 × 7 = 315.000
23 × 36 × 5 × 11 = 320.760
23 × 3 × 52 × 72 × 11 = 323.400
2 × 33 × 53 × 72 = 330.750
35 × 53 × 11 = 334.125
54 × 72 × 11 = 336.875
23 × 35 × 52 × 7 = 340.200
22 × 32 × 53 × 7 × 11 = 346.500
23 × 34 × 72 × 11 = 349.272
34 × 54 × 7 = 354.375
2 × 36 × 5 × 72 = 357.210
33 × 52 × 72 × 11 = 363.825
22 × 36 × 53 = 364.500
22 × 3 × 54 × 72 = 367.500
2 × 33 × 54 × 11 = 371.250
22 × 35 × 5 × 7 × 11 = 374.220
23 × 54 × 7 × 11 = 385.000
36 × 72 × 11 = 392.931
22 × 34 × 52 × 72 = 396.900
2 × 36 × 52 × 11 = 400.950
2 × 3 × 53 × 72 × 11 = 404.250
23 × 34 × 54 = 405.000
23 × 33 × 52 × 7 × 11 = 415.800
2 × 35 × 53 × 7 = 425.250
32 × 54 × 7 × 11 = 433.125
2 × 34 × 5 × 72 × 11 = 436.590
23 × 32 × 53 × 72 = 441.000
22 × 34 × 53 × 11 = 445.500
23 × 36 × 7 × 11 = 449.064
36 × 54 = 455.625
35 × 52 × 7 × 11 = 467.775
22 × 33 × 54 × 7 = 472.500
23 × 35 × 5 × 72 = 476.280
22 × 32 × 52 × 72 × 11 = 485.100
23 × 32 × 54 × 11 = 495.000
34 × 53 × 72 = 496.125
22 × 36 × 52 × 7 = 510.300
2 × 33 × 53 × 7 × 11 = 519.750
22 × 35 × 72 × 11 = 523.908
23 × 35 × 52 × 11 = 534.600
23 × 53 × 72 × 11 = 539.000
2 × 32 × 54 × 72 = 551.250
34 × 54 × 11 = 556.875
2 × 36 × 5 × 7 × 11 = 561.330
23 × 34 × 53 × 7 = 567.000
22 × 3 × 54 × 7 × 11 = 577.500
23 × 33 × 5 × 72 × 11 = 582.120
2 × 35 × 52 × 72 = 595.350
32 × 53 × 72 × 11 = 606.375
22 × 35 × 54 = 607.500
22 × 34 × 52 × 7 × 11 = 623.700
36 × 53 × 7 = 637.875
35 × 5 × 72 × 11 = 654.885
22 × 33 × 53 × 72 = 661.500
2 × 35 × 53 × 11 = 668.250
2 × 54 × 72 × 11 = 673.750
23 × 32 × 53 × 7 × 11 = 693.000
2 × 34 × 54 × 7 = 708.750
22 × 36 × 5 × 72 = 714.420
2 × 33 × 52 × 72 × 11 = 727.650
23 × 36 × 53 = 729.000
23 × 3 × 54 × 72 = 735.000
22 × 33 × 54 × 11 = 742.500
23 × 35 × 5 × 7 × 11 = 748.440
34 × 53 × 7 × 11 = 779.625
2 × 36 × 72 × 11 = 785.862
23 × 34 × 52 × 72 = 793.800
22 × 36 × 52 × 11 = 801.900
22 × 3 × 53 × 72 × 11 = 808.500
33 × 54 × 72 = 826.875
22 × 35 × 53 × 7 = 850.500
2 × 32 × 54 × 7 × 11 = 866.250
22 × 34 × 5 × 72 × 11 = 873.180
23 × 34 × 53 × 11 = 891.000
36 × 52 × 72 = 893.025
2 × 36 × 54 = 911.250
2 × 35 × 52 × 7 × 11 = 935.550
23 × 33 × 54 × 7 = 945.000
23 × 32 × 52 × 72 × 11 = 970.200
2 × 34 × 53 × 72 = 992.250
36 × 53 × 11 = 1.002.375
3 × 54 × 72 × 11 = 1.010.625
23 × 36 × 52 × 7 = 1.020.600
22 × 33 × 53 × 7 × 11 = 1.039.500
23 × 35 × 72 × 11 = 1.047.816
35 × 54 × 7 = 1.063.125
34 × 52 × 72 × 11 = 1.091.475
22 × 32 × 54 × 72 = 1.102.500
2 × 34 × 54 × 11 = 1.113.750
22 × 36 × 5 × 7 × 11 = 1.122.660
23 × 3 × 54 × 7 × 11 = 1.155.000
22 × 35 × 52 × 72 = 1.190.700
2 × 32 × 53 × 72 × 11 = 1.212.750
23 × 35 × 54 = 1.215.000
23 × 34 × 52 × 7 × 11 = 1.247.400
2 × 36 × 53 × 7 = 1.275.750
33 × 54 × 7 × 11 = 1.299.375
2 × 35 × 5 × 72 × 11 = 1.309.770
23 × 33 × 53 × 72 = 1.323.000
22 × 35 × 53 × 11 = 1.336.500
22 × 54 × 72 × 11 = 1.347.500
36 × 52 × 7 × 11 = 1.403.325
22 × 34 × 54 × 7 = 1.417.500
23 × 36 × 5 × 72 = 1.428.840
22 × 33 × 52 × 72 × 11 = 1.455.300
23 × 33 × 54 × 11 = 1.485.000
35 × 53 × 72 = 1.488.375
2 × 34 × 53 × 7 × 11 = 1.559.250
22 × 36 × 72 × 11 = 1.571.724
23 × 36 × 52 × 11 = 1.603.800
23 × 3 × 53 × 72 × 11 = 1.617.000
2 × 33 × 54 × 72 = 1.653.750
35 × 54 × 11 = 1.670.625
23 × 35 × 53 × 7 = 1.701.000
22 × 32 × 54 × 7 × 11 = 1.732.500
23 × 34 × 5 × 72 × 11 = 1.746.360
2 × 36 × 52 × 72 = 1.786.050
33 × 53 × 72 × 11 = 1.819.125
22 × 36 × 54 = 1.822.500
22 × 35 × 52 × 7 × 11 = 1.871.100
36 × 5 × 72 × 11 = 1.964.655
22 × 34 × 53 × 72 = 1.984.500
2 × 36 × 53 × 11 = 2.004.750
2 × 3 × 54 × 72 × 11 = 2.021.250
23 × 33 × 53 × 7 × 11 = 2.079.000
2 × 35 × 54 × 7 = 2.126.250
2 × 34 × 52 × 72 × 11 = 2.182.950
23 × 32 × 54 × 72 = 2.205.000
22 × 34 × 54 × 11 = 2.227.500
23 × 36 × 5 × 7 × 11 = 2.245.320
35 × 53 × 7 × 11 = 2.338.875
23 × 35 × 52 × 72 = 2.381.400
22 × 32 × 53 × 72 × 11 = 2.425.500
34 × 54 × 72 = 2.480.625
22 × 36 × 53 × 7 = 2.551.500
2 × 33 × 54 × 7 × 11 = 2.598.750
22 × 35 × 5 × 72 × 11 = 2.619.540
23 × 35 × 53 × 11 = 2.673.000
23 × 54 × 72 × 11 = 2.695.000
2 × 36 × 52 × 7 × 11 = 2.806.650
23 × 34 × 54 × 7 = 2.835.000
23 × 33 × 52 × 72 × 11 = 2.910.600
2 × 35 × 53 × 72 = 2.976.750
32 × 54 × 72 × 11 = 3.031.875
22 × 34 × 53 × 7 × 11 = 3.118.500
23 × 36 × 72 × 11 = 3.143.448
36 × 54 × 7 = 3.189.375
35 × 52 × 72 × 11 = 3.274.425
22 × 33 × 54 × 72 = 3.307.500
2 × 35 × 54 × 11 = 3.341.250
23 × 32 × 54 × 7 × 11 = 3.465.000
22 × 36 × 52 × 72 = 3.572.100
2 × 33 × 53 × 72 × 11 = 3.638.250
23 × 36 × 54 = 3.645.000
23 × 35 × 52 × 7 × 11 = 3.742.200
34 × 54 × 7 × 11 = 3.898.125
2 × 36 × 5 × 72 × 11 = 3.929.310
23 × 34 × 53 × 72 = 3.969.000
22 × 36 × 53 × 11 = 4.009.500
22 × 3 × 54 × 72 × 11 = 4.042.500
22 × 35 × 54 × 7 = 4.252.500
22 × 34 × 52 × 72 × 11 = 4.365.900
23 × 34 × 54 × 11 = 4.455.000
36 × 53 × 72 = 4.465.125
2 × 35 × 53 × 7 × 11 = 4.677.750
23 × 32 × 53 × 72 × 11 = 4.851.000
2 × 34 × 54 × 72 = 4.961.250
36 × 54 × 11 = 5.011.875
23 × 36 × 53 × 7 = 5.103.000
22 × 33 × 54 × 7 × 11 = 5.197.500
23 × 35 × 5 × 72 × 11 = 5.239.080
34 × 53 × 72 × 11 = 5.457.375
22 × 36 × 52 × 7 × 11 = 5.613.300
22 × 35 × 53 × 72 = 5.953.500
2 × 32 × 54 × 72 × 11 = 6.063.750
23 × 34 × 53 × 7 × 11 = 6.237.000
2 × 36 × 54 × 7 = 6.378.750
2 × 35 × 52 × 72 × 11 = 6.548.850
23 × 33 × 54 × 72 = 6.615.000
22 × 35 × 54 × 11 = 6.682.500
36 × 53 × 7 × 11 = 7.016.625
23 × 36 × 52 × 72 = 7.144.200
22 × 33 × 53 × 72 × 11 = 7.276.500
35 × 54 × 72 = 7.441.875
2 × 34 × 54 × 7 × 11 = 7.796.250
22 × 36 × 5 × 72 × 11 = 7.858.620
23 × 36 × 53 × 11 = 8.019.000
23 × 3 × 54 × 72 × 11 = 8.085.000
23 × 35 × 54 × 7 = 8.505.000
23 × 34 × 52 × 72 × 11 = 8.731.800
2 × 36 × 53 × 72 = 8.930.250
33 × 54 × 72 × 11 = 9.095.625
22 × 35 × 53 × 7 × 11 = 9.355.500
36 × 52 × 72 × 11 = 9.823.275
22 × 34 × 54 × 72 = 9.922.500
2 × 36 × 54 × 11 = 10.023.750
23 × 33 × 54 × 7 × 11 = 10.395.000
2 × 34 × 53 × 72 × 11 = 10.914.750
23 × 36 × 52 × 7 × 11 = 11.226.600
35 × 54 × 7 × 11 = 11.694.375
23 × 35 × 53 × 72 = 11.907.000
22 × 32 × 54 × 72 × 11 = 12.127.500
22 × 36 × 54 × 7 = 12.757.500
22 × 35 × 52 × 72 × 11 = 13.097.700
23 × 35 × 54 × 11 = 13.365.000
2 × 36 × 53 × 7 × 11 = 14.033.250
23 × 33 × 53 × 72 × 11 = 14.553.000
2 × 35 × 54 × 72 = 14.883.750
22 × 34 × 54 × 7 × 11 = 15.592.500
23 × 36 × 5 × 72 × 11 = 15.717.240
35 × 53 × 72 × 11 = 16.372.125
22 × 36 × 53 × 72 = 17.860.500
2 × 33 × 54 × 72 × 11 = 18.191.250
23 × 35 × 53 × 7 × 11 = 18.711.000
2 × 36 × 52 × 72 × 11 = 19.646.550
23 × 34 × 54 × 72 = 19.845.000
22 × 36 × 54 × 11 = 20.047.500
22 × 34 × 53 × 72 × 11 = 21.829.500
36 × 54 × 72 = 22.325.625
2 × 35 × 54 × 7 × 11 = 23.388.750
23 × 32 × 54 × 72 × 11 = 24.255.000
23 × 36 × 54 × 7 = 25.515.000
23 × 35 × 52 × 72 × 11 = 26.195.400
34 × 54 × 72 × 11 = 27.286.875
22 × 36 × 53 × 7 × 11 = 28.066.500
22 × 35 × 54 × 72 = 29.767.500
23 × 34 × 54 × 7 × 11 = 31.185.000
2 × 35 × 53 × 72 × 11 = 32.744.250
36 × 54 × 7 × 11 = 35.083.125
23 × 36 × 53 × 72 = 35.721.000
22 × 33 × 54 × 72 × 11 = 36.382.500
22 × 36 × 52 × 72 × 11 = 39.293.100
23 × 36 × 54 × 11 = 40.095.000
23 × 34 × 53 × 72 × 11 = 43.659.000
2 × 36 × 54 × 72 = 44.651.250
22 × 35 × 54 × 7 × 11 = 46.777.500
36 × 53 × 72 × 11 = 49.116.375
2 × 34 × 54 × 72 × 11 = 54.573.750
23 × 36 × 53 × 7 × 11 = 56.133.000
23 × 35 × 54 × 72 = 59.535.000
22 × 35 × 53 × 72 × 11 = 65.488.500
2 × 36 × 54 × 7 × 11 = 70.166.250
23 × 33 × 54 × 72 × 11 = 72.765.000
23 × 36 × 52 × 72 × 11 = 78.586.200
35 × 54 × 72 × 11 = 81.860.625
22 × 36 × 54 × 72 = 89.302.500
23 × 35 × 54 × 7 × 11 = 93.555.000
2 × 36 × 53 × 72 × 11 = 98.232.750
22 × 34 × 54 × 72 × 11 = 109.147.500
23 × 35 × 53 × 72 × 11 = 130.977.000
22 × 36 × 54 × 7 × 11 = 140.332.500
2 × 35 × 54 × 72 × 11 = 163.721.250
23 × 36 × 54 × 72 = 178.605.000
22 × 36 × 53 × 72 × 11 = 196.465.500
23 × 34 × 54 × 72 × 11 = 218.295.000
36 × 54 × 72 × 11 = 245.581.875
23 × 36 × 54 × 7 × 11 = 280.665.000
22 × 35 × 54 × 72 × 11 = 327.442.500
23 × 36 × 53 × 72 × 11 = 392.931.000
2 × 36 × 54 × 72 × 11 = 491.163.750
23 × 35 × 54 × 72 × 11 = 654.885.000
22 × 36 × 54 × 72 × 11 = 982.327.500
23 × 36 × 54 × 72 × 11 = 1.964.655.000

La respuesta final:
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1.964.655.000 tiene 840 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 18; 20; 21; 22; 24; 25; 27; 28; 30; 33; 35; 36; 40; 42; 44; 45; 49; 50; 54; 55; 56; 60; 63; 66; 70; 72; 75; 77; 81; 84; 88; 90; 98; 99; 100; 105; 108; 110; 120; 125; 126; 132; 135; 140; 147; 150; 154; 162; 165; 168; 175; 180; 189; 196; 198; 200; 210; 216; 220; 225; 231; 243; 245; 250; 252; 264; 270; 275; 280; 294; 297; 300; 308; 315; 324; 330; 350; 360; 375; 378; 385; 392; 396; 405; 420; 440; 441; 450; 462; 486; 490; 495; 500; 504; 525; 539; 540; 550; 567; 588; 594; 600; 616; 625; 630; 648; 660; 675; 693; 700; 729; 735; 750; 756; 770; 792; 810; 825; 840; 875; 882; 891; 900; 924; 945; 972; 980; 990; 1.000; 1.050; 1.078; 1.080; 1.100; 1.125; 1.134; 1.155; 1.176; 1.188; 1.215; 1.225; 1.250; 1.260; 1.320; 1.323; 1.350; 1.375; 1.386; 1.400; 1.458; 1.470; 1.485; 1.500; 1.512; 1.540; 1.575; 1.617; 1.620; 1.650; 1.701; 1.750; 1.764; 1.782; 1.800; 1.848; 1.875; 1.890; 1.925; 1.944; 1.960; 1.980; 2.025; 2.079; 2.100; 2.156; 2.200; 2.205; 2.250; 2.268; 2.310; 2.376; 2.430; 2.450; 2.475; 2.500; 2.520; 2.625; 2.646; 2.673; 2.695; 2.700; 2.750; 2.772; 2.835; 2.916; 2.940; 2.970; 3.000; 3.080; 3.150; 3.234; 3.240; 3.300; 3.375; 3.402; 3.465; 3.500; 3.528; 3.564; 3.645; 3.675; 3.750; 3.780; 3.850; 3.960; 3.969; 4.050; 4.125; 4.158; 4.200; 4.312; 4.375; 4.410; 4.455; 4.500; 4.536; 4.620; 4.725; 4.851; 4.860; 4.900; 4.950; 5.000; 5.103; 5.250; 5.292; 5.346; 5.390; 5.400; 5.500; 5.544; 5.625; 5.670; 5.775; 5.832; 5.880; 5.940; 6.075; 6.125; 6.237; 6.300; 6.468; 6.600; 6.615; 6.750; 6.804; 6.875; 6.930; 7.000; 7.128; 7.290; 7.350; 7.425; 7.500; 7.560; 7.700; 7.875; 7.938; 8.019; 8.085; 8.100; 8.250; 8.316; 8.505; 8.750; 8.820; 8.910; 9.000; 9.240; 9.450; 9.625; 9.702; 9.720; 9.800; 9.900; 10.125; 10.206; 10.395; 10.500; 10.584; 10.692; 10.780; 11.000; 11.025; 11.250; 11.340; 11.550; 11.880; 11.907; 12.150; 12.250; 12.375; 12.474; 12.600; 12.936; 13.125; 13.230; 13.365; 13.475; 13.500; 13.608; 13.750; 13.860; 14.175; 14.553; 14.580; 14.700; 14.850; 15.000; 15.400; 15.750; 15.876; 16.038; 16.170; 16.200; 16.500; 16.632; 16.875; 17.010; 17.325; 17.500; 17.640; 17.820; 18.225; 18.375; 18.711; 18.900; 19.250; 19.404; 19.800; 19.845; 20.250; 20.412; 20.625; 20.790; 21.000; 21.384; 21.560; 22.050; 22.275; 22.500; 22.680; 23.100; 23.625; 23.814; 24.255; 24.300; 24.500; 24.750; 24.948; 25.515; 26.250; 26.460; 26.730; 26.950; 27.000; 27.500; 27.720; 28.350; 28.875; 29.106; 29.160; 29.400; 29.700; 30.375; 30.625; 31.185; 31.500; 31.752; 32.076; 32.340; 33.000; 33.075; 33.750; 34.020; 34.650; 35.000; 35.640; 35.721; 36.450; 36.750; 37.125; 37.422; 37.800; 38.500; 38.808; 39.375; 39.690; 40.095; 40.425; 40.500; 40.824; 41.250; 41.580; 42.525; 43.659; 44.100; 44.550; 45.000; 46.200; 47.250; 47.628; 48.125; 48.510; 48.600; 49.000; 49.500; 49.896; 50.625; 51.030; 51.975; 52.500; 52.920; 53.460; 53.900; 55.000; 55.125; 56.133; 56.700; 57.750; 58.212; 59.400; 59.535; 60.750; 61.250; 61.875; 62.370; 63.000; 64.152; 64.680; 66.150; 66.825; 67.375; 67.500; 68.040; 69.300; 70.875; 71.442; 72.765; 72.900; 73.500; 74.250; 74.844; 77.000; 78.750; 79.380; 80.190; 80.850; 81.000; 82.500; 83.160; 85.050; 86.625; 87.318; 88.200; 89.100; 91.125; 91.875; 93.555; 94.500; 95.256; 96.250; 97.020; 99.000; 99.225; 101.250; 102.060; 103.950; 105.000; 106.920; 107.800; 110.250; 111.375; 112.266; 113.400; 115.500; 116.424; 118.125; 119.070; 121.275; 121.500; 122.500; 123.750; 124.740; 127.575; 130.977; 132.300; 133.650; 134.750; 135.000; 138.600; 141.750; 142.884; 144.375; 145.530; 145.800; 147.000; 148.500; 149.688; 151.875; 155.925; 157.500; 158.760; 160.380; 161.700; 165.000; 165.375; 170.100; 173.250; 174.636; 178.200; 178.605; 182.250; 183.750; 185.625; 187.110; 189.000; 192.500; 194.040; 198.450; 200.475; 202.125; 202.500; 204.120; 207.900; 212.625; 218.295; 220.500; 222.750; 224.532; 231.000; 236.250; 238.140; 242.550; 243.000; 245.000; 247.500; 249.480; 255.150; 259.875; 261.954; 264.600; 267.300; 269.500; 275.625; 280.665; 283.500; 285.768; 288.750; 291.060; 297.000; 297.675; 303.750; 311.850; 315.000; 320.760; 323.400; 330.750; 334.125; 336.875; 340.200; 346.500; 349.272; 354.375; 357.210; 363.825; 364.500; 367.500; 371.250; 374.220; 385.000; 392.931; 396.900; 400.950; 404.250; 405.000; 415.800; 425.250; 433.125; 436.590; 441.000; 445.500; 449.064; 455.625; 467.775; 472.500; 476.280; 485.100; 495.000; 496.125; 510.300; 519.750; 523.908; 534.600; 539.000; 551.250; 556.875; 561.330; 567.000; 577.500; 582.120; 595.350; 606.375; 607.500; 623.700; 637.875; 654.885; 661.500; 668.250; 673.750; 693.000; 708.750; 714.420; 727.650; 729.000; 735.000; 742.500; 748.440; 779.625; 785.862; 793.800; 801.900; 808.500; 826.875; 850.500; 866.250; 873.180; 891.000; 893.025; 911.250; 935.550; 945.000; 970.200; 992.250; 1.002.375; 1.010.625; 1.020.600; 1.039.500; 1.047.816; 1.063.125; 1.091.475; 1.102.500; 1.113.750; 1.122.660; 1.155.000; 1.190.700; 1.212.750; 1.215.000; 1.247.400; 1.275.750; 1.299.375; 1.309.770; 1.323.000; 1.336.500; 1.347.500; 1.403.325; 1.417.500; 1.428.840; 1.455.300; 1.485.000; 1.488.375; 1.559.250; 1.571.724; 1.603.800; 1.617.000; 1.653.750; 1.670.625; 1.701.000; 1.732.500; 1.746.360; 1.786.050; 1.819.125; 1.822.500; 1.871.100; 1.964.655; 1.984.500; 2.004.750; 2.021.250; 2.079.000; 2.126.250; 2.182.950; 2.205.000; 2.227.500; 2.245.320; 2.338.875; 2.381.400; 2.425.500; 2.480.625; 2.551.500; 2.598.750; 2.619.540; 2.673.000; 2.695.000; 2.806.650; 2.835.000; 2.910.600; 2.976.750; 3.031.875; 3.118.500; 3.143.448; 3.189.375; 3.274.425; 3.307.500; 3.341.250; 3.465.000; 3.572.100; 3.638.250; 3.645.000; 3.742.200; 3.898.125; 3.929.310; 3.969.000; 4.009.500; 4.042.500; 4.252.500; 4.365.900; 4.455.000; 4.465.125; 4.677.750; 4.851.000; 4.961.250; 5.011.875; 5.103.000; 5.197.500; 5.239.080; 5.457.375; 5.613.300; 5.953.500; 6.063.750; 6.237.000; 6.378.750; 6.548.850; 6.615.000; 6.682.500; 7.016.625; 7.144.200; 7.276.500; 7.441.875; 7.796.250; 7.858.620; 8.019.000; 8.085.000; 8.505.000; 8.731.800; 8.930.250; 9.095.625; 9.355.500; 9.823.275; 9.922.500; 10.023.750; 10.395.000; 10.914.750; 11.226.600; 11.694.375; 11.907.000; 12.127.500; 12.757.500; 13.097.700; 13.365.000; 14.033.250; 14.553.000; 14.883.750; 15.592.500; 15.717.240; 16.372.125; 17.860.500; 18.191.250; 18.711.000; 19.646.550; 19.845.000; 20.047.500; 21.829.500; 22.325.625; 23.388.750; 24.255.000; 25.515.000; 26.195.400; 27.286.875; 28.066.500; 29.767.500; 31.185.000; 32.744.250; 35.083.125; 35.721.000; 36.382.500; 39.293.100; 40.095.000; 43.659.000; 44.651.250; 46.777.500; 49.116.375; 54.573.750; 56.133.000; 59.535.000; 65.488.500; 70.166.250; 72.765.000; 78.586.200; 81.860.625; 89.302.500; 93.555.000; 98.232.750; 109.147.500; 130.977.000; 140.332.500; 163.721.250; 178.605.000; 196.465.500; 218.295.000; 245.581.875; 280.665.000; 327.442.500; 392.931.000; 491.163.750; 654.885.000; 982.327.500 y 1.964.655.000
de los cuales 5 factores primos: 2; 3; 5; 7 y 11

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.


Otras operaciones similares de cálculo de divisores:

» ¿Cuáles son todos los divisores (y los factores primos) del número 1.964.654.989?

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Calcula todos los divisores de los números dados:

Cómo calcular (encontrar) todos los divisores de un número:

Descomponer el número en factores primos (descomposición factorial). Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

Para calcular los divisores comunes de dos números:

Los divisores comunes de dos números son todos los divisores del máximo común divisor, mcd.

Calcula el máximo común divisor de los dos números, mcd.

Descompone el mcd en factores primos. Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

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La lista de todos los divisores calculados de uno o dos números

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".