2.321.865.000: Calcula todos los divisores del número 2.321.865.000 (y los factores primos)

Los divisores del número 2.321.865.000

1. Realizar la descomposición del número 2.321.865.000 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.

2.321.865.000 = 23 × 36 × 54 × 72 × 13
2.321.865.000 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 2.321.865.000

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
22 × 3 = 12
factor primo = 13
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
52 = 25
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
5 × 7 = 35
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
72 = 49
2 × 52 = 50
22 × 13 = 52
2 × 33 = 54
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
2 × 3 × 13 = 78
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
2 × 72 = 98
22 × 52 = 100
23 × 13 = 104
3 × 5 × 7 = 105
22 × 33 = 108
32 × 13 = 117
23 × 3 × 5 = 120
53 = 125
2 × 32 × 7 = 126
2 × 5 × 13 = 130
33 × 5 = 135
22 × 5 × 7 = 140
3 × 72 = 147
2 × 3 × 52 = 150
22 × 3 × 13 = 156
2 × 34 = 162
23 × 3 × 7 = 168
52 × 7 = 175
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
3 × 5 × 13 = 195
22 × 72 = 196
23 × 52 = 200
2 × 3 × 5 × 7 = 210
23 × 33 = 216
32 × 52 = 225
2 × 32 × 13 = 234
35 = 243
5 × 72 = 245
2 × 53 = 250
22 × 32 × 7 = 252
22 × 5 × 13 = 260
2 × 33 × 5 = 270
3 × 7 × 13 = 273
23 × 5 × 7 = 280
2 × 3 × 72 = 294
22 × 3 × 52 = 300
23 × 3 × 13 = 312
32 × 5 × 7 = 315
22 × 34 = 324
52 × 13 = 325
2 × 52 × 7 = 350
33 × 13 = 351
23 × 32 × 5 = 360
22 × 7 × 13 = 364
3 × 53 = 375
2 × 33 × 7 = 378
2 × 3 × 5 × 13 = 390
23 × 72 = 392
34 × 5 = 405
22 × 3 × 5 × 7 = 420
32 × 72 = 441
2 × 32 × 52 = 450
5 × 7 × 13 = 455
22 × 32 × 13 = 468
2 × 35 = 486
2 × 5 × 72 = 490
22 × 53 = 500
23 × 32 × 7 = 504
23 × 5 × 13 = 520
3 × 52 × 7 = 525
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
34 × 7 = 567
32 × 5 × 13 = 585
22 × 3 × 72 = 588
23 × 3 × 52 = 600
54 = 625
2 × 32 × 5 × 7 = 630
72 × 13 = 637
23 × 34 = 648
2 × 52 × 13 = 650
33 × 52 = 675
22 × 52 × 7 = 700
2 × 33 × 13 = 702
23 × 7 × 13 = 728
36 = 729
3 × 5 × 72 = 735
2 × 3 × 53 = 750
22 × 33 × 7 = 756
22 × 3 × 5 × 13 = 780
2 × 34 × 5 = 810
32 × 7 × 13 = 819
23 × 3 × 5 × 7 = 840
53 × 7 = 875
2 × 32 × 72 = 882
22 × 32 × 52 = 900
2 × 5 × 7 × 13 = 910
23 × 32 × 13 = 936
33 × 5 × 7 = 945
22 × 35 = 972
3 × 52 × 13 = 975
22 × 5 × 72 = 980
23 × 53 = 1.000
2 × 3 × 52 × 7 = 1.050
34 × 13 = 1.053
23 × 33 × 5 = 1.080
22 × 3 × 7 × 13 = 1.092
32 × 53 = 1.125
2 × 34 × 7 = 1.134
2 × 32 × 5 × 13 = 1.170
23 × 3 × 72 = 1.176
35 × 5 = 1.215
52 × 72 = 1.225
2 × 54 = 1.250
22 × 32 × 5 × 7 = 1.260
2 × 72 × 13 = 1.274
22 × 52 × 13 = 1.300
33 × 72 = 1.323
2 × 33 × 52 = 1.350
3 × 5 × 7 × 13 = 1.365
23 × 52 × 7 = 1.400
22 × 33 × 13 = 1.404
2 × 36 = 1.458
2 × 3 × 5 × 72 = 1.470
22 × 3 × 53 = 1.500
23 × 33 × 7 = 1.512
23 × 3 × 5 × 13 = 1.560
32 × 52 × 7 = 1.575
22 × 34 × 5 = 1.620
53 × 13 = 1.625
2 × 32 × 7 × 13 = 1.638
35 × 7 = 1.701
2 × 53 × 7 = 1.750
33 × 5 × 13 = 1.755
22 × 32 × 72 = 1.764
23 × 32 × 52 = 1.800
22 × 5 × 7 × 13 = 1.820
3 × 54 = 1.875
2 × 33 × 5 × 7 = 1.890
3 × 72 × 13 = 1.911
23 × 35 = 1.944
2 × 3 × 52 × 13 = 1.950
23 × 5 × 72 = 1.960
34 × 52 = 2.025
22 × 3 × 52 × 7 = 2.100
2 × 34 × 13 = 2.106
23 × 3 × 7 × 13 = 2.184
32 × 5 × 72 = 2.205
2 × 32 × 53 = 2.250
22 × 34 × 7 = 2.268
52 × 7 × 13 = 2.275
22 × 32 × 5 × 13 = 2.340
2 × 35 × 5 = 2.430
2 × 52 × 72 = 2.450
33 × 7 × 13 = 2.457
22 × 54 = 2.500
23 × 32 × 5 × 7 = 2.520
22 × 72 × 13 = 2.548
23 × 52 × 13 = 2.600
3 × 53 × 7 = 2.625
2 × 33 × 72 = 2.646
22 × 33 × 52 = 2.700
2 × 3 × 5 × 7 × 13 = 2.730
23 × 33 × 13 = 2.808
34 × 5 × 7 = 2.835
22 × 36 = 2.916
32 × 52 × 13 = 2.925
22 × 3 × 5 × 72 = 2.940
23 × 3 × 53 = 3.000
2 × 32 × 52 × 7 = 3.150
35 × 13 = 3.159
5 × 72 × 13 = 3.185
23 × 34 × 5 = 3.240
2 × 53 × 13 = 3.250
22 × 32 × 7 × 13 = 3.276
33 × 53 = 3.375
2 × 35 × 7 = 3.402
22 × 53 × 7 = 3.500
2 × 33 × 5 × 13 = 3.510
23 × 32 × 72 = 3.528
23 × 5 × 7 × 13 = 3.640
36 × 5 = 3.645
3 × 52 × 72 = 3.675
2 × 3 × 54 = 3.750
22 × 33 × 5 × 7 = 3.780
2 × 3 × 72 × 13 = 3.822
22 × 3 × 52 × 13 = 3.900
34 × 72 = 3.969
2 × 34 × 52 = 4.050
32 × 5 × 7 × 13 = 4.095
23 × 3 × 52 × 7 = 4.200
22 × 34 × 13 = 4.212
54 × 7 = 4.375
2 × 32 × 5 × 72 = 4.410
22 × 32 × 53 = 4.500
23 × 34 × 7 = 4.536
2 × 52 × 7 × 13 = 4.550
23 × 32 × 5 × 13 = 4.680
33 × 52 × 7 = 4.725
22 × 35 × 5 = 4.860
3 × 53 × 13 = 4.875
22 × 52 × 72 = 4.900
2 × 33 × 7 × 13 = 4.914
23 × 54 = 5.000
23 × 72 × 13 = 5.096
36 × 7 = 5.103
2 × 3 × 53 × 7 = 5.250
34 × 5 × 13 = 5.265
22 × 33 × 72 = 5.292
23 × 33 × 52 = 5.400
22 × 3 × 5 × 7 × 13 = 5.460
32 × 54 = 5.625
2 × 34 × 5 × 7 = 5.670
32 × 72 × 13 = 5.733
23 × 36 = 5.832
2 × 32 × 52 × 13 = 5.850
23 × 3 × 5 × 72 = 5.880
35 × 52 = 6.075
53 × 72 = 6.125
22 × 32 × 52 × 7 = 6.300
2 × 35 × 13 = 6.318
2 × 5 × 72 × 13 = 6.370
22 × 53 × 13 = 6.500
23 × 32 × 7 × 13 = 6.552
33 × 5 × 72 = 6.615
2 × 33 × 53 = 6.750
22 × 35 × 7 = 6.804
3 × 52 × 7 × 13 = 6.825
23 × 53 × 7 = 7.000
22 × 33 × 5 × 13 = 7.020
2 × 36 × 5 = 7.290
2 × 3 × 52 × 72 = 7.350
34 × 7 × 13 = 7.371
22 × 3 × 54 = 7.500
23 × 33 × 5 × 7 = 7.560
22 × 3 × 72 × 13 = 7.644
23 × 3 × 52 × 13 = 7.800
32 × 53 × 7 = 7.875
2 × 34 × 72 = 7.938
22 × 34 × 52 = 8.100
54 × 13 = 8.125
2 × 32 × 5 × 7 × 13 = 8.190
23 × 34 × 13 = 8.424
35 × 5 × 7 = 8.505
2 × 54 × 7 = 8.750
33 × 52 × 13 = 8.775
22 × 32 × 5 × 72 = 8.820
23 × 32 × 53 = 9.000
22 × 52 × 7 × 13 = 9.100
2 × 33 × 52 × 7 = 9.450
36 × 13 = 9.477
3 × 5 × 72 × 13 = 9.555
23 × 35 × 5 = 9.720
2 × 3 × 53 × 13 = 9.750
23 × 52 × 72 = 9.800
22 × 33 × 7 × 13 = 9.828
34 × 53 = 10.125
2 × 36 × 7 = 10.206
22 × 3 × 53 × 7 = 10.500
2 × 34 × 5 × 13 = 10.530
23 × 33 × 72 = 10.584
23 × 3 × 5 × 7 × 13 = 10.920
32 × 52 × 72 = 11.025
2 × 32 × 54 = 11.250
22 × 34 × 5 × 7 = 11.340
53 × 7 × 13 = 11.375
2 × 32 × 72 × 13 = 11.466
22 × 32 × 52 × 13 = 11.700
35 × 72 = 11.907
2 × 35 × 52 = 12.150
2 × 53 × 72 = 12.250
33 × 5 × 7 × 13 = 12.285
23 × 32 × 52 × 7 = 12.600
22 × 35 × 13 = 12.636
22 × 5 × 72 × 13 = 12.740
23 × 53 × 13 = 13.000
3 × 54 × 7 = 13.125
2 × 33 × 5 × 72 = 13.230
22 × 33 × 53 = 13.500
23 × 35 × 7 = 13.608
2 × 3 × 52 × 7 × 13 = 13.650
23 × 33 × 5 × 13 = 14.040
34 × 52 × 7 = 14.175
22 × 36 × 5 = 14.580
32 × 53 × 13 = 14.625
22 × 3 × 52 × 72 = 14.700
2 × 34 × 7 × 13 = 14.742
23 × 3 × 54 = 15.000
23 × 3 × 72 × 13 = 15.288
2 × 32 × 53 × 7 = 15.750
35 × 5 × 13 = 15.795
22 × 34 × 72 = 15.876
52 × 72 × 13 = 15.925
23 × 34 × 52 = 16.200
2 × 54 × 13 = 16.250
22 × 32 × 5 × 7 × 13 = 16.380
33 × 54 = 16.875
2 × 35 × 5 × 7 = 17.010
33 × 72 × 13 = 17.199
22 × 54 × 7 = 17.500
2 × 33 × 52 × 13 = 17.550
23 × 32 × 5 × 72 = 17.640
23 × 52 × 7 × 13 = 18.200
36 × 52 = 18.225
3 × 53 × 72 = 18.375
22 × 33 × 52 × 7 = 18.900
2 × 36 × 13 = 18.954
2 × 3 × 5 × 72 × 13 = 19.110
22 × 3 × 53 × 13 = 19.500
23 × 33 × 7 × 13 = 19.656
34 × 5 × 72 = 19.845
2 × 34 × 53 = 20.250
22 × 36 × 7 = 20.412
32 × 52 × 7 × 13 = 20.475
23 × 3 × 53 × 7 = 21.000
22 × 34 × 5 × 13 = 21.060
2 × 32 × 52 × 72 = 22.050
35 × 7 × 13 = 22.113
22 × 32 × 54 = 22.500
23 × 34 × 5 × 7 = 22.680
2 × 53 × 7 × 13 = 22.750
22 × 32 × 72 × 13 = 22.932
23 × 32 × 52 × 13 = 23.400
33 × 53 × 7 = 23.625
2 × 35 × 72 = 23.814
22 × 35 × 52 = 24.300
3 × 54 × 13 = 24.375
22 × 53 × 72 = 24.500
2 × 33 × 5 × 7 × 13 = 24.570
23 × 35 × 13 = 25.272
23 × 5 × 72 × 13 = 25.480
36 × 5 × 7 = 25.515
2 × 3 × 54 × 7 = 26.250
34 × 52 × 13 = 26.325
22 × 33 × 5 × 72 = 26.460
23 × 33 × 53 = 27.000
22 × 3 × 52 × 7 × 13 = 27.300
2 × 34 × 52 × 7 = 28.350
32 × 5 × 72 × 13 = 28.665
23 × 36 × 5 = 29.160
2 × 32 × 53 × 13 = 29.250
23 × 3 × 52 × 72 = 29.400
22 × 34 × 7 × 13 = 29.484
35 × 53 = 30.375
54 × 72 = 30.625
22 × 32 × 53 × 7 = 31.500
2 × 35 × 5 × 13 = 31.590
23 × 34 × 72 = 31.752
2 × 52 × 72 × 13 = 31.850
22 × 54 × 13 = 32.500
23 × 32 × 5 × 7 × 13 = 32.760
33 × 52 × 72 = 33.075
2 × 33 × 54 = 33.750
22 × 35 × 5 × 7 = 34.020
3 × 53 × 7 × 13 = 34.125
2 × 33 × 72 × 13 = 34.398
23 × 54 × 7 = 35.000
22 × 33 × 52 × 13 = 35.100
36 × 72 = 35.721
2 × 36 × 52 = 36.450
2 × 3 × 53 × 72 = 36.750
34 × 5 × 7 × 13 = 36.855
23 × 33 × 52 × 7 = 37.800
22 × 36 × 13 = 37.908
22 × 3 × 5 × 72 × 13 = 38.220
23 × 3 × 53 × 13 = 39.000
32 × 54 × 7 = 39.375
2 × 34 × 5 × 72 = 39.690
22 × 34 × 53 = 40.500
23 × 36 × 7 = 40.824
2 × 32 × 52 × 7 × 13 = 40.950
23 × 34 × 5 × 13 = 42.120
35 × 52 × 7 = 42.525
33 × 53 × 13 = 43.875
22 × 32 × 52 × 72 = 44.100
2 × 35 × 7 × 13 = 44.226
23 × 32 × 54 = 45.000
22 × 53 × 7 × 13 = 45.500
23 × 32 × 72 × 13 = 45.864
2 × 33 × 53 × 7 = 47.250
36 × 5 × 13 = 47.385
22 × 35 × 72 = 47.628
3 × 52 × 72 × 13 = 47.775
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23 × 35 × 52 = 48.600
2 × 3 × 54 × 13 = 48.750
23 × 53 × 72 = 49.000
22 × 33 × 5 × 7 × 13 = 49.140
34 × 54 = 50.625
2 × 36 × 5 × 7 = 51.030
34 × 72 × 13 = 51.597
22 × 3 × 54 × 7 = 52.500
2 × 34 × 52 × 13 = 52.650
23 × 33 × 5 × 72 = 52.920
23 × 3 × 52 × 7 × 13 = 54.600
32 × 53 × 72 = 55.125
22 × 34 × 52 × 7 = 56.700
54 × 7 × 13 = 56.875
2 × 32 × 5 × 72 × 13 = 57.330
22 × 32 × 53 × 13 = 58.500
23 × 34 × 7 × 13 = 58.968
35 × 5 × 72 = 59.535
2 × 35 × 53 = 60.750
2 × 54 × 72 = 61.250
33 × 52 × 7 × 13 = 61.425
23 × 32 × 53 × 7 = 63.000
22 × 35 × 5 × 13 = 63.180
22 × 52 × 72 × 13 = 63.700
23 × 54 × 13 = 65.000
2 × 33 × 52 × 72 = 66.150
36 × 7 × 13 = 66.339
22 × 33 × 54 = 67.500
23 × 35 × 5 × 7 = 68.040
2 × 3 × 53 × 7 × 13 = 68.250
22 × 33 × 72 × 13 = 68.796
23 × 33 × 52 × 13 = 70.200
34 × 53 × 7 = 70.875
2 × 36 × 72 = 71.442
22 × 36 × 52 = 72.900
32 × 54 × 13 = 73.125
22 × 3 × 53 × 72 = 73.500
2 × 34 × 5 × 7 × 13 = 73.710
23 × 36 × 13 = 75.816
23 × 3 × 5 × 72 × 13 = 76.440
2 × 32 × 54 × 7 = 78.750
35 × 52 × 13 = 78.975
22 × 34 × 5 × 72 = 79.380
53 × 72 × 13 = 79.625
23 × 34 × 53 = 81.000
22 × 32 × 52 × 7 × 13 = 81.900
2 × 35 × 52 × 7 = 85.050
33 × 5 × 72 × 13 = 85.995
2 × 33 × 53 × 13 = 87.750
23 × 32 × 52 × 72 = 88.200
22 × 35 × 7 × 13 = 88.452
23 × 53 × 7 × 13 = 91.000
36 × 53 = 91.125
3 × 54 × 72 = 91.875
22 × 33 × 53 × 7 = 94.500
2 × 36 × 5 × 13 = 94.770
23 × 35 × 72 = 95.256
2 × 3 × 52 × 72 × 13 = 95.550
22 × 3 × 54 × 13 = 97.500
23 × 33 × 5 × 7 × 13 = 98.280
34 × 52 × 72 = 99.225
2 × 34 × 54 = 101.250
22 × 36 × 5 × 7 = 102.060
32 × 53 × 7 × 13 = 102.375
2 × 34 × 72 × 13 = 103.194
23 × 3 × 54 × 7 = 105.000
22 × 34 × 52 × 13 = 105.300
2 × 32 × 53 × 72 = 110.250
35 × 5 × 7 × 13 = 110.565
23 × 34 × 52 × 7 = 113.400
2 × 54 × 7 × 13 = 113.750
22 × 32 × 5 × 72 × 13 = 114.660
23 × 32 × 53 × 13 = 117.000
33 × 54 × 7 = 118.125
2 × 35 × 5 × 72 = 119.070
22 × 35 × 53 = 121.500
22 × 54 × 72 = 122.500
2 × 33 × 52 × 7 × 13 = 122.850
23 × 35 × 5 × 13 = 126.360
23 × 52 × 72 × 13 = 127.400
36 × 52 × 7 = 127.575
34 × 53 × 13 = 131.625
22 × 33 × 52 × 72 = 132.300
2 × 36 × 7 × 13 = 132.678
23 × 33 × 54 = 135.000
22 × 3 × 53 × 7 × 13 = 136.500
23 × 33 × 72 × 13 = 137.592
2 × 34 × 53 × 7 = 141.750
22 × 36 × 72 = 142.884
32 × 52 × 72 × 13 = 143.325
23 × 36 × 52 = 145.800
2 × 32 × 54 × 13 = 146.250
23 × 3 × 53 × 72 = 147.000
22 × 34 × 5 × 7 × 13 = 147.420
35 × 54 = 151.875
35 × 72 × 13 = 154.791
22 × 32 × 54 × 7 = 157.500
2 × 35 × 52 × 13 = 157.950
23 × 34 × 5 × 72 = 158.760
2 × 53 × 72 × 13 = 159.250
23 × 32 × 52 × 7 × 13 = 163.800
33 × 53 × 72 = 165.375
22 × 35 × 52 × 7 = 170.100
3 × 54 × 7 × 13 = 170.625
2 × 33 × 5 × 72 × 13 = 171.990
22 × 33 × 53 × 13 = 175.500
23 × 35 × 7 × 13 = 176.904
36 × 5 × 72 = 178.605
2 × 36 × 53 = 182.250
2 × 3 × 54 × 72 = 183.750
34 × 52 × 7 × 13 = 184.275
23 × 33 × 53 × 7 = 189.000
22 × 36 × 5 × 13 = 189.540
22 × 3 × 52 × 72 × 13 = 191.100
23 × 3 × 54 × 13 = 195.000
2 × 34 × 52 × 72 = 198.450
22 × 34 × 54 = 202.500
23 × 36 × 5 × 7 = 204.120
2 × 32 × 53 × 7 × 13 = 204.750
22 × 34 × 72 × 13 = 206.388
23 × 34 × 52 × 13 = 210.600
35 × 53 × 7 = 212.625
33 × 54 × 13 = 219.375
22 × 32 × 53 × 72 = 220.500
2 × 35 × 5 × 7 × 13 = 221.130
22 × 54 × 7 × 13 = 227.500
23 × 32 × 5 × 72 × 13 = 229.320
2 × 33 × 54 × 7 = 236.250
36 × 52 × 13 = 236.925
22 × 35 × 5 × 72 = 238.140
3 × 53 × 72 × 13 = 238.875
23 × 35 × 53 = 243.000
23 × 54 × 72 = 245.000
22 × 33 × 52 × 7 × 13 = 245.700
2 × 36 × 52 × 7 = 255.150
34 × 5 × 72 × 13 = 257.985
2 × 34 × 53 × 13 = 263.250
23 × 33 × 52 × 72 = 264.600
22 × 36 × 7 × 13 = 265.356
23 × 3 × 53 × 7 × 13 = 273.000
32 × 54 × 72 = 275.625
22 × 34 × 53 × 7 = 283.500
23 × 36 × 72 = 285.768
2 × 32 × 52 × 72 × 13 = 286.650
22 × 32 × 54 × 13 = 292.500
23 × 34 × 5 × 7 × 13 = 294.840
35 × 52 × 72 = 297.675
2 × 35 × 54 = 303.750
33 × 53 × 7 × 13 = 307.125
2 × 35 × 72 × 13 = 309.582
23 × 32 × 54 × 7 = 315.000
22 × 35 × 52 × 13 = 315.900
22 × 53 × 72 × 13 = 318.500
2 × 33 × 53 × 72 = 330.750
36 × 5 × 7 × 13 = 331.695
23 × 35 × 52 × 7 = 340.200
2 × 3 × 54 × 7 × 13 = 341.250
22 × 33 × 5 × 72 × 13 = 343.980
23 × 33 × 53 × 13 = 351.000
34 × 54 × 7 = 354.375
2 × 36 × 5 × 72 = 357.210
22 × 36 × 53 = 364.500
22 × 3 × 54 × 72 = 367.500
2 × 34 × 52 × 7 × 13 = 368.550
23 × 36 × 5 × 13 = 379.080
23 × 3 × 52 × 72 × 13 = 382.200
35 × 53 × 13 = 394.875
22 × 34 × 52 × 72 = 396.900
54 × 72 × 13 = 398.125
23 × 34 × 54 = 405.000
22 × 32 × 53 × 7 × 13 = 409.500
23 × 34 × 72 × 13 = 412.776
2 × 35 × 53 × 7 = 425.250
33 × 52 × 72 × 13 = 429.975
2 × 33 × 54 × 13 = 438.750
23 × 32 × 53 × 72 = 441.000
22 × 35 × 5 × 7 × 13 = 442.260
23 × 54 × 7 × 13 = 455.000
36 × 54 = 455.625
36 × 72 × 13 = 464.373
22 × 33 × 54 × 7 = 472.500
2 × 36 × 52 × 13 = 473.850
23 × 35 × 5 × 72 = 476.280
2 × 3 × 53 × 72 × 13 = 477.750
23 × 33 × 52 × 7 × 13 = 491.400
34 × 53 × 72 = 496.125
22 × 36 × 52 × 7 = 510.300
32 × 54 × 7 × 13 = 511.875
2 × 34 × 5 × 72 × 13 = 515.970
22 × 34 × 53 × 13 = 526.500
23 × 36 × 7 × 13 = 530.712
2 × 32 × 54 × 72 = 551.250
35 × 52 × 7 × 13 = 552.825
23 × 34 × 53 × 7 = 567.000
22 × 32 × 52 × 72 × 13 = 573.300
23 × 32 × 54 × 13 = 585.000
2 × 35 × 52 × 72 = 595.350
22 × 35 × 54 = 607.500
2 × 33 × 53 × 7 × 13 = 614.250
22 × 35 × 72 × 13 = 619.164
23 × 35 × 52 × 13 = 631.800
23 × 53 × 72 × 13 = 637.000
36 × 53 × 7 = 637.875
34 × 54 × 13 = 658.125
22 × 33 × 53 × 72 = 661.500
2 × 36 × 5 × 7 × 13 = 663.390
22 × 3 × 54 × 7 × 13 = 682.500
23 × 33 × 5 × 72 × 13 = 687.960
2 × 34 × 54 × 7 = 708.750
22 × 36 × 5 × 72 = 714.420
32 × 53 × 72 × 13 = 716.625
23 × 36 × 53 = 729.000
23 × 3 × 54 × 72 = 735.000
22 × 34 × 52 × 7 × 13 = 737.100
35 × 5 × 72 × 13 = 773.955
2 × 35 × 53 × 13 = 789.750
23 × 34 × 52 × 72 = 793.800
2 × 54 × 72 × 13 = 796.250
23 × 32 × 53 × 7 × 13 = 819.000
33 × 54 × 72 = 826.875
22 × 35 × 53 × 7 = 850.500
2 × 33 × 52 × 72 × 13 = 859.950
22 × 33 × 54 × 13 = 877.500
23 × 35 × 5 × 7 × 13 = 884.520
36 × 52 × 72 = 893.025
2 × 36 × 54 = 911.250
34 × 53 × 7 × 13 = 921.375
2 × 36 × 72 × 13 = 928.746
23 × 33 × 54 × 7 = 945.000
22 × 36 × 52 × 13 = 947.700
22 × 3 × 53 × 72 × 13 = 955.500
2 × 34 × 53 × 72 = 992.250
23 × 36 × 52 × 7 = 1.020.600
2 × 32 × 54 × 7 × 13 = 1.023.750
22 × 34 × 5 × 72 × 13 = 1.031.940
23 × 34 × 53 × 13 = 1.053.000
35 × 54 × 7 = 1.063.125
22 × 32 × 54 × 72 = 1.102.500
2 × 35 × 52 × 7 × 13 = 1.105.650
23 × 32 × 52 × 72 × 13 = 1.146.600
36 × 53 × 13 = 1.184.625
22 × 35 × 52 × 72 = 1.190.700
3 × 54 × 72 × 13 = 1.194.375
23 × 35 × 54 = 1.215.000
22 × 33 × 53 × 7 × 13 = 1.228.500
23 × 35 × 72 × 13 = 1.238.328
2 × 36 × 53 × 7 = 1.275.750
34 × 52 × 72 × 13 = 1.289.925
2 × 34 × 54 × 13 = 1.316.250
23 × 33 × 53 × 72 = 1.323.000
22 × 36 × 5 × 7 × 13 = 1.326.780
23 × 3 × 54 × 7 × 13 = 1.365.000
22 × 34 × 54 × 7 = 1.417.500
23 × 36 × 5 × 72 = 1.428.840
2 × 32 × 53 × 72 × 13 = 1.433.250
23 × 34 × 52 × 7 × 13 = 1.474.200
35 × 53 × 72 = 1.488.375
33 × 54 × 7 × 13 = 1.535.625
2 × 35 × 5 × 72 × 13 = 1.547.910
22 × 35 × 53 × 13 = 1.579.500
22 × 54 × 72 × 13 = 1.592.500
2 × 33 × 54 × 72 = 1.653.750
36 × 52 × 7 × 13 = 1.658.475
23 × 35 × 53 × 7 = 1.701.000
22 × 33 × 52 × 72 × 13 = 1.719.900
23 × 33 × 54 × 13 = 1.755.000
2 × 36 × 52 × 72 = 1.786.050
22 × 36 × 54 = 1.822.500
2 × 34 × 53 × 7 × 13 = 1.842.750
22 × 36 × 72 × 13 = 1.857.492
23 × 36 × 52 × 13 = 1.895.400
23 × 3 × 53 × 72 × 13 = 1.911.000
35 × 54 × 13 = 1.974.375
22 × 34 × 53 × 72 = 1.984.500
22 × 32 × 54 × 7 × 13 = 2.047.500
23 × 34 × 5 × 72 × 13 = 2.063.880
2 × 35 × 54 × 7 = 2.126.250
33 × 53 × 72 × 13 = 2.149.875
23 × 32 × 54 × 72 = 2.205.000
22 × 35 × 52 × 7 × 13 = 2.211.300
36 × 5 × 72 × 13 = 2.321.865
2 × 36 × 53 × 13 = 2.369.250
23 × 35 × 52 × 72 = 2.381.400
2 × 3 × 54 × 72 × 13 = 2.388.750
23 × 33 × 53 × 7 × 13 = 2.457.000
34 × 54 × 72 = 2.480.625
22 × 36 × 53 × 7 = 2.551.500
2 × 34 × 52 × 72 × 13 = 2.579.850
22 × 34 × 54 × 13 = 2.632.500
23 × 36 × 5 × 7 × 13 = 2.653.560
35 × 53 × 7 × 13 = 2.764.125
23 × 34 × 54 × 7 = 2.835.000
22 × 32 × 53 × 72 × 13 = 2.866.500
2 × 35 × 53 × 72 = 2.976.750
2 × 33 × 54 × 7 × 13 = 3.071.250
22 × 35 × 5 × 72 × 13 = 3.095.820
23 × 35 × 53 × 13 = 3.159.000
23 × 54 × 72 × 13 = 3.185.000
36 × 54 × 7 = 3.189.375
22 × 33 × 54 × 72 = 3.307.500
2 × 36 × 52 × 7 × 13 = 3.316.950
23 × 33 × 52 × 72 × 13 = 3.439.800
22 × 36 × 52 × 72 = 3.572.100
32 × 54 × 72 × 13 = 3.583.125
23 × 36 × 54 = 3.645.000
22 × 34 × 53 × 7 × 13 = 3.685.500
23 × 36 × 72 × 13 = 3.714.984
35 × 52 × 72 × 13 = 3.869.775
2 × 35 × 54 × 13 = 3.948.750
23 × 34 × 53 × 72 = 3.969.000
23 × 32 × 54 × 7 × 13 = 4.095.000
22 × 35 × 54 × 7 = 4.252.500
2 × 33 × 53 × 72 × 13 = 4.299.750
23 × 35 × 52 × 7 × 13 = 4.422.600
36 × 53 × 72 = 4.465.125
34 × 54 × 7 × 13 = 4.606.875
2 × 36 × 5 × 72 × 13 = 4.643.730
22 × 36 × 53 × 13 = 4.738.500
22 × 3 × 54 × 72 × 13 = 4.777.500
2 × 34 × 54 × 72 = 4.961.250
23 × 36 × 53 × 7 = 5.103.000
22 × 34 × 52 × 72 × 13 = 5.159.700
23 × 34 × 54 × 13 = 5.265.000
2 × 35 × 53 × 7 × 13 = 5.528.250
23 × 32 × 53 × 72 × 13 = 5.733.000
36 × 54 × 13 = 5.923.125
22 × 35 × 53 × 72 = 5.953.500
22 × 33 × 54 × 7 × 13 = 6.142.500
23 × 35 × 5 × 72 × 13 = 6.191.640
2 × 36 × 54 × 7 = 6.378.750
34 × 53 × 72 × 13 = 6.449.625
23 × 33 × 54 × 72 = 6.615.000
22 × 36 × 52 × 7 × 13 = 6.633.900
23 × 36 × 52 × 72 = 7.144.200
2 × 32 × 54 × 72 × 13 = 7.166.250
23 × 34 × 53 × 7 × 13 = 7.371.000
35 × 54 × 72 = 7.441.875
2 × 35 × 52 × 72 × 13 = 7.739.550
22 × 35 × 54 × 13 = 7.897.500
36 × 53 × 7 × 13 = 8.292.375
23 × 35 × 54 × 7 = 8.505.000
22 × 33 × 53 × 72 × 13 = 8.599.500
2 × 36 × 53 × 72 = 8.930.250
2 × 34 × 54 × 7 × 13 = 9.213.750
22 × 36 × 5 × 72 × 13 = 9.287.460
23 × 36 × 53 × 13 = 9.477.000
23 × 3 × 54 × 72 × 13 = 9.555.000
22 × 34 × 54 × 72 = 9.922.500
23 × 34 × 52 × 72 × 13 = 10.319.400
33 × 54 × 72 × 13 = 10.749.375
22 × 35 × 53 × 7 × 13 = 11.056.500
36 × 52 × 72 × 13 = 11.609.325
2 × 36 × 54 × 13 = 11.846.250
23 × 35 × 53 × 72 = 11.907.000
23 × 33 × 54 × 7 × 13 = 12.285.000
22 × 36 × 54 × 7 = 12.757.500
2 × 34 × 53 × 72 × 13 = 12.899.250
23 × 36 × 52 × 7 × 13 = 13.267.800
35 × 54 × 7 × 13 = 13.820.625
22 × 32 × 54 × 72 × 13 = 14.332.500
2 × 35 × 54 × 72 = 14.883.750
22 × 35 × 52 × 72 × 13 = 15.479.100
23 × 35 × 54 × 13 = 15.795.000
2 × 36 × 53 × 7 × 13 = 16.584.750
23 × 33 × 53 × 72 × 13 = 17.199.000
22 × 36 × 53 × 72 = 17.860.500
22 × 34 × 54 × 7 × 13 = 18.427.500
23 × 36 × 5 × 72 × 13 = 18.574.920
35 × 53 × 72 × 13 = 19.348.875
23 × 34 × 54 × 72 = 19.845.000
2 × 33 × 54 × 72 × 13 = 21.498.750
23 × 35 × 53 × 7 × 13 = 22.113.000
36 × 54 × 72 = 22.325.625
2 × 36 × 52 × 72 × 13 = 23.218.650
22 × 36 × 54 × 13 = 23.692.500
23 × 36 × 54 × 7 = 25.515.000
22 × 34 × 53 × 72 × 13 = 25.798.500
2 × 35 × 54 × 7 × 13 = 27.641.250
23 × 32 × 54 × 72 × 13 = 28.665.000
22 × 35 × 54 × 72 = 29.767.500
23 × 35 × 52 × 72 × 13 = 30.958.200
34 × 54 × 72 × 13 = 32.248.125
22 × 36 × 53 × 7 × 13 = 33.169.500
23 × 36 × 53 × 72 = 35.721.000
23 × 34 × 54 × 7 × 13 = 36.855.000
2 × 35 × 53 × 72 × 13 = 38.697.750
36 × 54 × 7 × 13 = 41.461.875
22 × 33 × 54 × 72 × 13 = 42.997.500
2 × 36 × 54 × 72 = 44.651.250
22 × 36 × 52 × 72 × 13 = 46.437.300
23 × 36 × 54 × 13 = 47.385.000
23 × 34 × 53 × 72 × 13 = 51.597.000
22 × 35 × 54 × 7 × 13 = 55.282.500
36 × 53 × 72 × 13 = 58.046.625
23 × 35 × 54 × 72 = 59.535.000
2 × 34 × 54 × 72 × 13 = 64.496.250
23 × 36 × 53 × 7 × 13 = 66.339.000
22 × 35 × 53 × 72 × 13 = 77.395.500
2 × 36 × 54 × 7 × 13 = 82.923.750
23 × 33 × 54 × 72 × 13 = 85.995.000
22 × 36 × 54 × 72 = 89.302.500
23 × 36 × 52 × 72 × 13 = 92.874.600
35 × 54 × 72 × 13 = 96.744.375
23 × 35 × 54 × 7 × 13 = 110.565.000
2 × 36 × 53 × 72 × 13 = 116.093.250
22 × 34 × 54 × 72 × 13 = 128.992.500
23 × 35 × 53 × 72 × 13 = 154.791.000
22 × 36 × 54 × 7 × 13 = 165.847.500
23 × 36 × 54 × 72 = 178.605.000
2 × 35 × 54 × 72 × 13 = 193.488.750
22 × 36 × 53 × 72 × 13 = 232.186.500
23 × 34 × 54 × 72 × 13 = 257.985.000
36 × 54 × 72 × 13 = 290.233.125
23 × 36 × 54 × 7 × 13 = 331.695.000
22 × 35 × 54 × 72 × 13 = 386.977.500
23 × 36 × 53 × 72 × 13 = 464.373.000
2 × 36 × 54 × 72 × 13 = 580.466.250
23 × 35 × 54 × 72 × 13 = 773.955.000
22 × 36 × 54 × 72 × 13 = 1.160.932.500
23 × 36 × 54 × 72 × 13 = 2.321.865.000

La respuesta final:
(desplazarse hacia abajo)

2.321.865.000 tiene 840 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 13; 14; 15; 18; 20; 21; 24; 25; 26; 27; 28; 30; 35; 36; 39; 40; 42; 45; 49; 50; 52; 54; 56; 60; 63; 65; 70; 72; 75; 78; 81; 84; 90; 91; 98; 100; 104; 105; 108; 117; 120; 125; 126; 130; 135; 140; 147; 150; 156; 162; 168; 175; 180; 182; 189; 195; 196; 200; 210; 216; 225; 234; 243; 245; 250; 252; 260; 270; 273; 280; 294; 300; 312; 315; 324; 325; 350; 351; 360; 364; 375; 378; 390; 392; 405; 420; 441; 450; 455; 468; 486; 490; 500; 504; 520; 525; 540; 546; 567; 585; 588; 600; 625; 630; 637; 648; 650; 675; 700; 702; 728; 729; 735; 750; 756; 780; 810; 819; 840; 875; 882; 900; 910; 936; 945; 972; 975; 980; 1.000; 1.050; 1.053; 1.080; 1.092; 1.125; 1.134; 1.170; 1.176; 1.215; 1.225; 1.250; 1.260; 1.274; 1.300; 1.323; 1.350; 1.365; 1.400; 1.404; 1.458; 1.470; 1.500; 1.512; 1.560; 1.575; 1.620; 1.625; 1.638; 1.701; 1.750; 1.755; 1.764; 1.800; 1.820; 1.875; 1.890; 1.911; 1.944; 1.950; 1.960; 2.025; 2.100; 2.106; 2.184; 2.205; 2.250; 2.268; 2.275; 2.340; 2.430; 2.450; 2.457; 2.500; 2.520; 2.548; 2.600; 2.625; 2.646; 2.700; 2.730; 2.808; 2.835; 2.916; 2.925; 2.940; 3.000; 3.150; 3.159; 3.185; 3.240; 3.250; 3.276; 3.375; 3.402; 3.500; 3.510; 3.528; 3.640; 3.645; 3.675; 3.750; 3.780; 3.822; 3.900; 3.969; 4.050; 4.095; 4.200; 4.212; 4.375; 4.410; 4.500; 4.536; 4.550; 4.680; 4.725; 4.860; 4.875; 4.900; 4.914; 5.000; 5.096; 5.103; 5.250; 5.265; 5.292; 5.400; 5.460; 5.625; 5.670; 5.733; 5.832; 5.850; 5.880; 6.075; 6.125; 6.300; 6.318; 6.370; 6.500; 6.552; 6.615; 6.750; 6.804; 6.825; 7.000; 7.020; 7.290; 7.350; 7.371; 7.500; 7.560; 7.644; 7.800; 7.875; 7.938; 8.100; 8.125; 8.190; 8.424; 8.505; 8.750; 8.775; 8.820; 9.000; 9.100; 9.450; 9.477; 9.555; 9.720; 9.750; 9.800; 9.828; 10.125; 10.206; 10.500; 10.530; 10.584; 10.920; 11.025; 11.250; 11.340; 11.375; 11.466; 11.700; 11.907; 12.150; 12.250; 12.285; 12.600; 12.636; 12.740; 13.000; 13.125; 13.230; 13.500; 13.608; 13.650; 14.040; 14.175; 14.580; 14.625; 14.700; 14.742; 15.000; 15.288; 15.750; 15.795; 15.876; 15.925; 16.200; 16.250; 16.380; 16.875; 17.010; 17.199; 17.500; 17.550; 17.640; 18.200; 18.225; 18.375; 18.900; 18.954; 19.110; 19.500; 19.656; 19.845; 20.250; 20.412; 20.475; 21.000; 21.060; 22.050; 22.113; 22.500; 22.680; 22.750; 22.932; 23.400; 23.625; 23.814; 24.300; 24.375; 24.500; 24.570; 25.272; 25.480; 25.515; 26.250; 26.325; 26.460; 27.000; 27.300; 28.350; 28.665; 29.160; 29.250; 29.400; 29.484; 30.375; 30.625; 31.500; 31.590; 31.752; 31.850; 32.500; 32.760; 33.075; 33.750; 34.020; 34.125; 34.398; 35.000; 35.100; 35.721; 36.450; 36.750; 36.855; 37.800; 37.908; 38.220; 39.000; 39.375; 39.690; 40.500; 40.824; 40.950; 42.120; 42.525; 43.875; 44.100; 44.226; 45.000; 45.500; 45.864; 47.250; 47.385; 47.628; 47.775; 48.600; 48.750; 49.000; 49.140; 50.625; 51.030; 51.597; 52.500; 52.650; 52.920; 54.600; 55.125; 56.700; 56.875; 57.330; 58.500; 58.968; 59.535; 60.750; 61.250; 61.425; 63.000; 63.180; 63.700; 65.000; 66.150; 66.339; 67.500; 68.040; 68.250; 68.796; 70.200; 70.875; 71.442; 72.900; 73.125; 73.500; 73.710; 75.816; 76.440; 78.750; 78.975; 79.380; 79.625; 81.000; 81.900; 85.050; 85.995; 87.750; 88.200; 88.452; 91.000; 91.125; 91.875; 94.500; 94.770; 95.256; 95.550; 97.500; 98.280; 99.225; 101.250; 102.060; 102.375; 103.194; 105.000; 105.300; 110.250; 110.565; 113.400; 113.750; 114.660; 117.000; 118.125; 119.070; 121.500; 122.500; 122.850; 126.360; 127.400; 127.575; 131.625; 132.300; 132.678; 135.000; 136.500; 137.592; 141.750; 142.884; 143.325; 145.800; 146.250; 147.000; 147.420; 151.875; 154.791; 157.500; 157.950; 158.760; 159.250; 163.800; 165.375; 170.100; 170.625; 171.990; 175.500; 176.904; 178.605; 182.250; 183.750; 184.275; 189.000; 189.540; 191.100; 195.000; 198.450; 202.500; 204.120; 204.750; 206.388; 210.600; 212.625; 219.375; 220.500; 221.130; 227.500; 229.320; 236.250; 236.925; 238.140; 238.875; 243.000; 245.000; 245.700; 255.150; 257.985; 263.250; 264.600; 265.356; 273.000; 275.625; 283.500; 285.768; 286.650; 292.500; 294.840; 297.675; 303.750; 307.125; 309.582; 315.000; 315.900; 318.500; 330.750; 331.695; 340.200; 341.250; 343.980; 351.000; 354.375; 357.210; 364.500; 367.500; 368.550; 379.080; 382.200; 394.875; 396.900; 398.125; 405.000; 409.500; 412.776; 425.250; 429.975; 438.750; 441.000; 442.260; 455.000; 455.625; 464.373; 472.500; 473.850; 476.280; 477.750; 491.400; 496.125; 510.300; 511.875; 515.970; 526.500; 530.712; 551.250; 552.825; 567.000; 573.300; 585.000; 595.350; 607.500; 614.250; 619.164; 631.800; 637.000; 637.875; 658.125; 661.500; 663.390; 682.500; 687.960; 708.750; 714.420; 716.625; 729.000; 735.000; 737.100; 773.955; 789.750; 793.800; 796.250; 819.000; 826.875; 850.500; 859.950; 877.500; 884.520; 893.025; 911.250; 921.375; 928.746; 945.000; 947.700; 955.500; 992.250; 1.020.600; 1.023.750; 1.031.940; 1.053.000; 1.063.125; 1.102.500; 1.105.650; 1.146.600; 1.184.625; 1.190.700; 1.194.375; 1.215.000; 1.228.500; 1.238.328; 1.275.750; 1.289.925; 1.316.250; 1.323.000; 1.326.780; 1.365.000; 1.417.500; 1.428.840; 1.433.250; 1.474.200; 1.488.375; 1.535.625; 1.547.910; 1.579.500; 1.592.500; 1.653.750; 1.658.475; 1.701.000; 1.719.900; 1.755.000; 1.786.050; 1.822.500; 1.842.750; 1.857.492; 1.895.400; 1.911.000; 1.974.375; 1.984.500; 2.047.500; 2.063.880; 2.126.250; 2.149.875; 2.205.000; 2.211.300; 2.321.865; 2.369.250; 2.381.400; 2.388.750; 2.457.000; 2.480.625; 2.551.500; 2.579.850; 2.632.500; 2.653.560; 2.764.125; 2.835.000; 2.866.500; 2.976.750; 3.071.250; 3.095.820; 3.159.000; 3.185.000; 3.189.375; 3.307.500; 3.316.950; 3.439.800; 3.572.100; 3.583.125; 3.645.000; 3.685.500; 3.714.984; 3.869.775; 3.948.750; 3.969.000; 4.095.000; 4.252.500; 4.299.750; 4.422.600; 4.465.125; 4.606.875; 4.643.730; 4.738.500; 4.777.500; 4.961.250; 5.103.000; 5.159.700; 5.265.000; 5.528.250; 5.733.000; 5.923.125; 5.953.500; 6.142.500; 6.191.640; 6.378.750; 6.449.625; 6.615.000; 6.633.900; 7.144.200; 7.166.250; 7.371.000; 7.441.875; 7.739.550; 7.897.500; 8.292.375; 8.505.000; 8.599.500; 8.930.250; 9.213.750; 9.287.460; 9.477.000; 9.555.000; 9.922.500; 10.319.400; 10.749.375; 11.056.500; 11.609.325; 11.846.250; 11.907.000; 12.285.000; 12.757.500; 12.899.250; 13.267.800; 13.820.625; 14.332.500; 14.883.750; 15.479.100; 15.795.000; 16.584.750; 17.199.000; 17.860.500; 18.427.500; 18.574.920; 19.348.875; 19.845.000; 21.498.750; 22.113.000; 22.325.625; 23.218.650; 23.692.500; 25.515.000; 25.798.500; 27.641.250; 28.665.000; 29.767.500; 30.958.200; 32.248.125; 33.169.500; 35.721.000; 36.855.000; 38.697.750; 41.461.875; 42.997.500; 44.651.250; 46.437.300; 47.385.000; 51.597.000; 55.282.500; 58.046.625; 59.535.000; 64.496.250; 66.339.000; 77.395.500; 82.923.750; 85.995.000; 89.302.500; 92.874.600; 96.744.375; 110.565.000; 116.093.250; 128.992.500; 154.791.000; 165.847.500; 178.605.000; 193.488.750; 232.186.500; 257.985.000; 290.233.125; 331.695.000; 386.977.500; 464.373.000; 580.466.250; 773.955.000; 1.160.932.500 y 2.321.865.000
de los cuales 5 factores primos: 2; 3; 5; 7 y 13

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.


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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".