471.525.600: Calcula todos los divisores del número 471.525.600 (y los factores primos)

Los divisores del número 471.525.600

1. Realizar la descomposición del número 471.525.600 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.


471.525.600 = 25 × 3 × 52 × 7 × 13 × 17 × 127
471.525.600 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.


2. Multiplica los factores primos del número 471.525.600

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
2 × 5 = 10
22 × 3 = 12
factor primo = 13
2 × 7 = 14
3 × 5 = 15
24 = 16
factor primo = 17
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
52 = 25
2 × 13 = 26
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
2 × 17 = 34
5 × 7 = 35
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
24 × 3 = 48
2 × 52 = 50
3 × 17 = 51
22 × 13 = 52
23 × 7 = 56
22 × 3 × 5 = 60
5 × 13 = 65
22 × 17 = 68
2 × 5 × 7 = 70
3 × 52 = 75
2 × 3 × 13 = 78
24 × 5 = 80
22 × 3 × 7 = 84
5 × 17 = 85
7 × 13 = 91
25 × 3 = 96
22 × 52 = 100
2 × 3 × 17 = 102
23 × 13 = 104
3 × 5 × 7 = 105
24 × 7 = 112
7 × 17 = 119
23 × 3 × 5 = 120
factor primo = 127
2 × 5 × 13 = 130
23 × 17 = 136
22 × 5 × 7 = 140
2 × 3 × 52 = 150
22 × 3 × 13 = 156
25 × 5 = 160
23 × 3 × 7 = 168
2 × 5 × 17 = 170
52 × 7 = 175
2 × 7 × 13 = 182
3 × 5 × 13 = 195
23 × 52 = 200
22 × 3 × 17 = 204
24 × 13 = 208
2 × 3 × 5 × 7 = 210
13 × 17 = 221
25 × 7 = 224
2 × 7 × 17 = 238
24 × 3 × 5 = 240
2 × 127 = 254
3 × 5 × 17 = 255
22 × 5 × 13 = 260
24 × 17 = 272
3 × 7 × 13 = 273
23 × 5 × 7 = 280
22 × 3 × 52 = 300
23 × 3 × 13 = 312
52 × 13 = 325
24 × 3 × 7 = 336
22 × 5 × 17 = 340
2 × 52 × 7 = 350
3 × 7 × 17 = 357
22 × 7 × 13 = 364
3 × 127 = 381
2 × 3 × 5 × 13 = 390
24 × 52 = 400
23 × 3 × 17 = 408
25 × 13 = 416
22 × 3 × 5 × 7 = 420
52 × 17 = 425
2 × 13 × 17 = 442
5 × 7 × 13 = 455
22 × 7 × 17 = 476
25 × 3 × 5 = 480
22 × 127 = 508
2 × 3 × 5 × 17 = 510
23 × 5 × 13 = 520
3 × 52 × 7 = 525
25 × 17 = 544
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
5 × 7 × 17 = 595
23 × 3 × 52 = 600
24 × 3 × 13 = 624
5 × 127 = 635
2 × 52 × 13 = 650
3 × 13 × 17 = 663
25 × 3 × 7 = 672
23 × 5 × 17 = 680
22 × 52 × 7 = 700
2 × 3 × 7 × 17 = 714
23 × 7 × 13 = 728
2 × 3 × 127 = 762
22 × 3 × 5 × 13 = 780
25 × 52 = 800
24 × 3 × 17 = 816
23 × 3 × 5 × 7 = 840
2 × 52 × 17 = 850
22 × 13 × 17 = 884
7 × 127 = 889
2 × 5 × 7 × 13 = 910
23 × 7 × 17 = 952
3 × 52 × 13 = 975
23 × 127 = 1.016
22 × 3 × 5 × 17 = 1.020
24 × 5 × 13 = 1.040
2 × 3 × 52 × 7 = 1.050
22 × 3 × 7 × 13 = 1.092
5 × 13 × 17 = 1.105
25 × 5 × 7 = 1.120
2 × 5 × 7 × 17 = 1.190
24 × 3 × 52 = 1.200
25 × 3 × 13 = 1.248
2 × 5 × 127 = 1.270
3 × 52 × 17 = 1.275
22 × 52 × 13 = 1.300
2 × 3 × 13 × 17 = 1.326
24 × 5 × 17 = 1.360
3 × 5 × 7 × 13 = 1.365
23 × 52 × 7 = 1.400
22 × 3 × 7 × 17 = 1.428
24 × 7 × 13 = 1.456
22 × 3 × 127 = 1.524
7 × 13 × 17 = 1.547
23 × 3 × 5 × 13 = 1.560
25 × 3 × 17 = 1.632
13 × 127 = 1.651
24 × 3 × 5 × 7 = 1.680
22 × 52 × 17 = 1.700
23 × 13 × 17 = 1.768
2 × 7 × 127 = 1.778
3 × 5 × 7 × 17 = 1.785
22 × 5 × 7 × 13 = 1.820
24 × 7 × 17 = 1.904
3 × 5 × 127 = 1.905
2 × 3 × 52 × 13 = 1.950
24 × 127 = 2.032
23 × 3 × 5 × 17 = 2.040
25 × 5 × 13 = 2.080
22 × 3 × 52 × 7 = 2.100
17 × 127 = 2.159
23 × 3 × 7 × 13 = 2.184
2 × 5 × 13 × 17 = 2.210
52 × 7 × 13 = 2.275
22 × 5 × 7 × 17 = 2.380
25 × 3 × 52 = 2.400
22 × 5 × 127 = 2.540
2 × 3 × 52 × 17 = 2.550
23 × 52 × 13 = 2.600
22 × 3 × 13 × 17 = 2.652
3 × 7 × 127 = 2.667
25 × 5 × 17 = 2.720
2 × 3 × 5 × 7 × 13 = 2.730
24 × 52 × 7 = 2.800
23 × 3 × 7 × 17 = 2.856
25 × 7 × 13 = 2.912
52 × 7 × 17 = 2.975
23 × 3 × 127 = 3.048
2 × 7 × 13 × 17 = 3.094
24 × 3 × 5 × 13 = 3.120
52 × 127 = 3.175
2 × 13 × 127 = 3.302
3 × 5 × 13 × 17 = 3.315
25 × 3 × 5 × 7 = 3.360
23 × 52 × 17 = 3.400
24 × 13 × 17 = 3.536
22 × 7 × 127 = 3.556
2 × 3 × 5 × 7 × 17 = 3.570
23 × 5 × 7 × 13 = 3.640
25 × 7 × 17 = 3.808
2 × 3 × 5 × 127 = 3.810
22 × 3 × 52 × 13 = 3.900
25 × 127 = 4.064
24 × 3 × 5 × 17 = 4.080
23 × 3 × 52 × 7 = 4.200
2 × 17 × 127 = 4.318
24 × 3 × 7 × 13 = 4.368
22 × 5 × 13 × 17 = 4.420
5 × 7 × 127 = 4.445
2 × 52 × 7 × 13 = 4.550
3 × 7 × 13 × 17 = 4.641
23 × 5 × 7 × 17 = 4.760
3 × 13 × 127 = 4.953
23 × 5 × 127 = 5.080
22 × 3 × 52 × 17 = 5.100
24 × 52 × 13 = 5.200
23 × 3 × 13 × 17 = 5.304
2 × 3 × 7 × 127 = 5.334
22 × 3 × 5 × 7 × 13 = 5.460
52 × 13 × 17 = 5.525
25 × 52 × 7 = 5.600
24 × 3 × 7 × 17 = 5.712
2 × 52 × 7 × 17 = 5.950
24 × 3 × 127 = 6.096
22 × 7 × 13 × 17 = 6.188
25 × 3 × 5 × 13 = 6.240
2 × 52 × 127 = 6.350
3 × 17 × 127 = 6.477
22 × 13 × 127 = 6.604
2 × 3 × 5 × 13 × 17 = 6.630
24 × 52 × 17 = 6.800
3 × 52 × 7 × 13 = 6.825
25 × 13 × 17 = 7.072
23 × 7 × 127 = 7.112
22 × 3 × 5 × 7 × 17 = 7.140
24 × 5 × 7 × 13 = 7.280
22 × 3 × 5 × 127 = 7.620
5 × 7 × 13 × 17 = 7.735
23 × 3 × 52 × 13 = 7.800
25 × 3 × 5 × 17 = 8.160
5 × 13 × 127 = 8.255
24 × 3 × 52 × 7 = 8.400
22 × 17 × 127 = 8.636
25 × 3 × 7 × 13 = 8.736
23 × 5 × 13 × 17 = 8.840
2 × 5 × 7 × 127 = 8.890
3 × 52 × 7 × 17 = 8.925
22 × 52 × 7 × 13 = 9.100
2 × 3 × 7 × 13 × 17 = 9.282
24 × 5 × 7 × 17 = 9.520
3 × 52 × 127 = 9.525
2 × 3 × 13 × 127 = 9.906
24 × 5 × 127 = 10.160
23 × 3 × 52 × 17 = 10.200
25 × 52 × 13 = 10.400
24 × 3 × 13 × 17 = 10.608
22 × 3 × 7 × 127 = 10.668
5 × 17 × 127 = 10.795
23 × 3 × 5 × 7 × 13 = 10.920
2 × 52 × 13 × 17 = 11.050
25 × 3 × 7 × 17 = 11.424
7 × 13 × 127 = 11.557
22 × 52 × 7 × 17 = 11.900
25 × 3 × 127 = 12.192
23 × 7 × 13 × 17 = 12.376
22 × 52 × 127 = 12.700
2 × 3 × 17 × 127 = 12.954
23 × 13 × 127 = 13.208
22 × 3 × 5 × 13 × 17 = 13.260
3 × 5 × 7 × 127 = 13.335
25 × 52 × 17 = 13.600
2 × 3 × 52 × 7 × 13 = 13.650
24 × 7 × 127 = 14.224
23 × 3 × 5 × 7 × 17 = 14.280
25 × 5 × 7 × 13 = 14.560
7 × 17 × 127 = 15.113
23 × 3 × 5 × 127 = 15.240
2 × 5 × 7 × 13 × 17 = 15.470
24 × 3 × 52 × 13 = 15.600
2 × 5 × 13 × 127 = 16.510
3 × 52 × 13 × 17 = 16.575
25 × 3 × 52 × 7 = 16.800
23 × 17 × 127 = 17.272
24 × 5 × 13 × 17 = 17.680
22 × 5 × 7 × 127 = 17.780
2 × 3 × 52 × 7 × 17 = 17.850
23 × 52 × 7 × 13 = 18.200
22 × 3 × 7 × 13 × 17 = 18.564
25 × 5 × 7 × 17 = 19.040
2 × 3 × 52 × 127 = 19.050
22 × 3 × 13 × 127 = 19.812
25 × 5 × 127 = 20.320
24 × 3 × 52 × 17 = 20.400
25 × 3 × 13 × 17 = 21.216
23 × 3 × 7 × 127 = 21.336
2 × 5 × 17 × 127 = 21.590
Esta lista continúa más abajo...

... Esta lista continúa desde arriba
24 × 3 × 5 × 7 × 13 = 21.840
22 × 52 × 13 × 17 = 22.100
52 × 7 × 127 = 22.225
2 × 7 × 13 × 127 = 23.114
3 × 5 × 7 × 13 × 17 = 23.205
23 × 52 × 7 × 17 = 23.800
24 × 7 × 13 × 17 = 24.752
3 × 5 × 13 × 127 = 24.765
23 × 52 × 127 = 25.400
22 × 3 × 17 × 127 = 25.908
24 × 13 × 127 = 26.416
23 × 3 × 5 × 13 × 17 = 26.520
2 × 3 × 5 × 7 × 127 = 26.670
22 × 3 × 52 × 7 × 13 = 27.300
13 × 17 × 127 = 28.067
25 × 7 × 127 = 28.448
24 × 3 × 5 × 7 × 17 = 28.560
2 × 7 × 17 × 127 = 30.226
24 × 3 × 5 × 127 = 30.480
22 × 5 × 7 × 13 × 17 = 30.940
25 × 3 × 52 × 13 = 31.200
3 × 5 × 17 × 127 = 32.385
22 × 5 × 13 × 127 = 33.020
2 × 3 × 52 × 13 × 17 = 33.150
24 × 17 × 127 = 34.544
3 × 7 × 13 × 127 = 34.671
25 × 5 × 13 × 17 = 35.360
23 × 5 × 7 × 127 = 35.560
22 × 3 × 52 × 7 × 17 = 35.700
24 × 52 × 7 × 13 = 36.400
23 × 3 × 7 × 13 × 17 = 37.128
22 × 3 × 52 × 127 = 38.100
52 × 7 × 13 × 17 = 38.675
23 × 3 × 13 × 127 = 39.624
25 × 3 × 52 × 17 = 40.800
52 × 13 × 127 = 41.275
24 × 3 × 7 × 127 = 42.672
22 × 5 × 17 × 127 = 43.180
25 × 3 × 5 × 7 × 13 = 43.680
23 × 52 × 13 × 17 = 44.200
2 × 52 × 7 × 127 = 44.450
3 × 7 × 17 × 127 = 45.339
22 × 7 × 13 × 127 = 46.228
2 × 3 × 5 × 7 × 13 × 17 = 46.410
24 × 52 × 7 × 17 = 47.600
25 × 7 × 13 × 17 = 49.504
2 × 3 × 5 × 13 × 127 = 49.530
24 × 52 × 127 = 50.800
23 × 3 × 17 × 127 = 51.816
25 × 13 × 127 = 52.832
24 × 3 × 5 × 13 × 17 = 53.040
22 × 3 × 5 × 7 × 127 = 53.340
52 × 17 × 127 = 53.975
23 × 3 × 52 × 7 × 13 = 54.600
2 × 13 × 17 × 127 = 56.134
25 × 3 × 5 × 7 × 17 = 57.120
5 × 7 × 13 × 127 = 57.785
22 × 7 × 17 × 127 = 60.452
25 × 3 × 5 × 127 = 60.960
23 × 5 × 7 × 13 × 17 = 61.880
2 × 3 × 5 × 17 × 127 = 64.770
23 × 5 × 13 × 127 = 66.040
22 × 3 × 52 × 13 × 17 = 66.300
3 × 52 × 7 × 127 = 66.675
25 × 17 × 127 = 69.088
2 × 3 × 7 × 13 × 127 = 69.342
24 × 5 × 7 × 127 = 71.120
23 × 3 × 52 × 7 × 17 = 71.400
25 × 52 × 7 × 13 = 72.800
24 × 3 × 7 × 13 × 17 = 74.256
5 × 7 × 17 × 127 = 75.565
23 × 3 × 52 × 127 = 76.200
2 × 52 × 7 × 13 × 17 = 77.350
24 × 3 × 13 × 127 = 79.248
2 × 52 × 13 × 127 = 82.550
3 × 13 × 17 × 127 = 84.201
25 × 3 × 7 × 127 = 85.344
23 × 5 × 17 × 127 = 86.360
24 × 52 × 13 × 17 = 88.400
22 × 52 × 7 × 127 = 88.900
2 × 3 × 7 × 17 × 127 = 90.678
23 × 7 × 13 × 127 = 92.456
22 × 3 × 5 × 7 × 13 × 17 = 92.820
25 × 52 × 7 × 17 = 95.200
22 × 3 × 5 × 13 × 127 = 99.060
25 × 52 × 127 = 101.600
24 × 3 × 17 × 127 = 103.632
25 × 3 × 5 × 13 × 17 = 106.080
23 × 3 × 5 × 7 × 127 = 106.680
2 × 52 × 17 × 127 = 107.950
24 × 3 × 52 × 7 × 13 = 109.200
22 × 13 × 17 × 127 = 112.268
2 × 5 × 7 × 13 × 127 = 115.570
3 × 52 × 7 × 13 × 17 = 116.025
23 × 7 × 17 × 127 = 120.904
24 × 5 × 7 × 13 × 17 = 123.760
3 × 52 × 13 × 127 = 123.825
22 × 3 × 5 × 17 × 127 = 129.540
24 × 5 × 13 × 127 = 132.080
23 × 3 × 52 × 13 × 17 = 132.600
2 × 3 × 52 × 7 × 127 = 133.350
22 × 3 × 7 × 13 × 127 = 138.684
5 × 13 × 17 × 127 = 140.335
25 × 5 × 7 × 127 = 142.240
24 × 3 × 52 × 7 × 17 = 142.800
25 × 3 × 7 × 13 × 17 = 148.512
2 × 5 × 7 × 17 × 127 = 151.130
24 × 3 × 52 × 127 = 152.400
22 × 52 × 7 × 13 × 17 = 154.700
25 × 3 × 13 × 127 = 158.496
3 × 52 × 17 × 127 = 161.925
22 × 52 × 13 × 127 = 165.100
2 × 3 × 13 × 17 × 127 = 168.402
24 × 5 × 17 × 127 = 172.720
3 × 5 × 7 × 13 × 127 = 173.355
25 × 52 × 13 × 17 = 176.800
23 × 52 × 7 × 127 = 177.800
22 × 3 × 7 × 17 × 127 = 181.356
24 × 7 × 13 × 127 = 184.912
23 × 3 × 5 × 7 × 13 × 17 = 185.640
7 × 13 × 17 × 127 = 196.469
23 × 3 × 5 × 13 × 127 = 198.120
25 × 3 × 17 × 127 = 207.264
24 × 3 × 5 × 7 × 127 = 213.360
22 × 52 × 17 × 127 = 215.900
25 × 3 × 52 × 7 × 13 = 218.400
23 × 13 × 17 × 127 = 224.536
3 × 5 × 7 × 17 × 127 = 226.695
22 × 5 × 7 × 13 × 127 = 231.140
2 × 3 × 52 × 7 × 13 × 17 = 232.050
24 × 7 × 17 × 127 = 241.808
25 × 5 × 7 × 13 × 17 = 247.520
2 × 3 × 52 × 13 × 127 = 247.650
23 × 3 × 5 × 17 × 127 = 259.080
25 × 5 × 13 × 127 = 264.160
24 × 3 × 52 × 13 × 17 = 265.200
22 × 3 × 52 × 7 × 127 = 266.700
23 × 3 × 7 × 13 × 127 = 277.368
2 × 5 × 13 × 17 × 127 = 280.670
25 × 3 × 52 × 7 × 17 = 285.600
52 × 7 × 13 × 127 = 288.925
22 × 5 × 7 × 17 × 127 = 302.260
25 × 3 × 52 × 127 = 304.800
23 × 52 × 7 × 13 × 17 = 309.400
2 × 3 × 52 × 17 × 127 = 323.850
23 × 52 × 13 × 127 = 330.200
22 × 3 × 13 × 17 × 127 = 336.804
25 × 5 × 17 × 127 = 345.440
2 × 3 × 5 × 7 × 13 × 127 = 346.710
24 × 52 × 7 × 127 = 355.600
23 × 3 × 7 × 17 × 127 = 362.712
25 × 7 × 13 × 127 = 369.824
24 × 3 × 5 × 7 × 13 × 17 = 371.280
52 × 7 × 17 × 127 = 377.825
2 × 7 × 13 × 17 × 127 = 392.938
24 × 3 × 5 × 13 × 127 = 396.240
3 × 5 × 13 × 17 × 127 = 421.005
25 × 3 × 5 × 7 × 127 = 426.720
23 × 52 × 17 × 127 = 431.800
24 × 13 × 17 × 127 = 449.072
2 × 3 × 5 × 7 × 17 × 127 = 453.390
23 × 5 × 7 × 13 × 127 = 462.280
22 × 3 × 52 × 7 × 13 × 17 = 464.100
25 × 7 × 17 × 127 = 483.616
22 × 3 × 52 × 13 × 127 = 495.300
24 × 3 × 5 × 17 × 127 = 518.160
25 × 3 × 52 × 13 × 17 = 530.400
23 × 3 × 52 × 7 × 127 = 533.400
24 × 3 × 7 × 13 × 127 = 554.736
22 × 5 × 13 × 17 × 127 = 561.340
2 × 52 × 7 × 13 × 127 = 577.850
3 × 7 × 13 × 17 × 127 = 589.407
23 × 5 × 7 × 17 × 127 = 604.520
24 × 52 × 7 × 13 × 17 = 618.800
22 × 3 × 52 × 17 × 127 = 647.700
24 × 52 × 13 × 127 = 660.400
23 × 3 × 13 × 17 × 127 = 673.608
22 × 3 × 5 × 7 × 13 × 127 = 693.420
52 × 13 × 17 × 127 = 701.675
25 × 52 × 7 × 127 = 711.200
24 × 3 × 7 × 17 × 127 = 725.424
25 × 3 × 5 × 7 × 13 × 17 = 742.560
2 × 52 × 7 × 17 × 127 = 755.650
22 × 7 × 13 × 17 × 127 = 785.876
25 × 3 × 5 × 13 × 127 = 792.480
2 × 3 × 5 × 13 × 17 × 127 = 842.010
24 × 52 × 17 × 127 = 863.600
3 × 52 × 7 × 13 × 127 = 866.775
25 × 13 × 17 × 127 = 898.144
22 × 3 × 5 × 7 × 17 × 127 = 906.780
24 × 5 × 7 × 13 × 127 = 924.560
23 × 3 × 52 × 7 × 13 × 17 = 928.200
5 × 7 × 13 × 17 × 127 = 982.345
23 × 3 × 52 × 13 × 127 = 990.600
25 × 3 × 5 × 17 × 127 = 1.036.320
24 × 3 × 52 × 7 × 127 = 1.066.800
25 × 3 × 7 × 13 × 127 = 1.109.472
23 × 5 × 13 × 17 × 127 = 1.122.680
3 × 52 × 7 × 17 × 127 = 1.133.475
22 × 52 × 7 × 13 × 127 = 1.155.700
2 × 3 × 7 × 13 × 17 × 127 = 1.178.814
24 × 5 × 7 × 17 × 127 = 1.209.040
25 × 52 × 7 × 13 × 17 = 1.237.600
23 × 3 × 52 × 17 × 127 = 1.295.400
25 × 52 × 13 × 127 = 1.320.800
24 × 3 × 13 × 17 × 127 = 1.347.216
23 × 3 × 5 × 7 × 13 × 127 = 1.386.840
2 × 52 × 13 × 17 × 127 = 1.403.350
25 × 3 × 7 × 17 × 127 = 1.450.848
22 × 52 × 7 × 17 × 127 = 1.511.300
23 × 7 × 13 × 17 × 127 = 1.571.752
22 × 3 × 5 × 13 × 17 × 127 = 1.684.020
25 × 52 × 17 × 127 = 1.727.200
2 × 3 × 52 × 7 × 13 × 127 = 1.733.550
23 × 3 × 5 × 7 × 17 × 127 = 1.813.560
25 × 5 × 7 × 13 × 127 = 1.849.120
24 × 3 × 52 × 7 × 13 × 17 = 1.856.400
2 × 5 × 7 × 13 × 17 × 127 = 1.964.690
24 × 3 × 52 × 13 × 127 = 1.981.200
3 × 52 × 13 × 17 × 127 = 2.105.025
25 × 3 × 52 × 7 × 127 = 2.133.600
24 × 5 × 13 × 17 × 127 = 2.245.360
2 × 3 × 52 × 7 × 17 × 127 = 2.266.950
23 × 52 × 7 × 13 × 127 = 2.311.400
22 × 3 × 7 × 13 × 17 × 127 = 2.357.628
25 × 5 × 7 × 17 × 127 = 2.418.080
24 × 3 × 52 × 17 × 127 = 2.590.800
25 × 3 × 13 × 17 × 127 = 2.694.432
24 × 3 × 5 × 7 × 13 × 127 = 2.773.680
22 × 52 × 13 × 17 × 127 = 2.806.700
3 × 5 × 7 × 13 × 17 × 127 = 2.947.035
23 × 52 × 7 × 17 × 127 = 3.022.600
24 × 7 × 13 × 17 × 127 = 3.143.504
23 × 3 × 5 × 13 × 17 × 127 = 3.368.040
22 × 3 × 52 × 7 × 13 × 127 = 3.467.100
24 × 3 × 5 × 7 × 17 × 127 = 3.627.120
25 × 3 × 52 × 7 × 13 × 17 = 3.712.800
22 × 5 × 7 × 13 × 17 × 127 = 3.929.380
25 × 3 × 52 × 13 × 127 = 3.962.400
2 × 3 × 52 × 13 × 17 × 127 = 4.210.050
25 × 5 × 13 × 17 × 127 = 4.490.720
22 × 3 × 52 × 7 × 17 × 127 = 4.533.900
24 × 52 × 7 × 13 × 127 = 4.622.800
23 × 3 × 7 × 13 × 17 × 127 = 4.715.256
52 × 7 × 13 × 17 × 127 = 4.911.725
25 × 3 × 52 × 17 × 127 = 5.181.600
25 × 3 × 5 × 7 × 13 × 127 = 5.547.360
23 × 52 × 13 × 17 × 127 = 5.613.400
2 × 3 × 5 × 7 × 13 × 17 × 127 = 5.894.070
24 × 52 × 7 × 17 × 127 = 6.045.200
25 × 7 × 13 × 17 × 127 = 6.287.008
24 × 3 × 5 × 13 × 17 × 127 = 6.736.080
23 × 3 × 52 × 7 × 13 × 127 = 6.934.200
25 × 3 × 5 × 7 × 17 × 127 = 7.254.240
23 × 5 × 7 × 13 × 17 × 127 = 7.858.760
22 × 3 × 52 × 13 × 17 × 127 = 8.420.100
23 × 3 × 52 × 7 × 17 × 127 = 9.067.800
25 × 52 × 7 × 13 × 127 = 9.245.600
24 × 3 × 7 × 13 × 17 × 127 = 9.430.512
2 × 52 × 7 × 13 × 17 × 127 = 9.823.450
24 × 52 × 13 × 17 × 127 = 11.226.800
22 × 3 × 5 × 7 × 13 × 17 × 127 = 11.788.140
25 × 52 × 7 × 17 × 127 = 12.090.400
25 × 3 × 5 × 13 × 17 × 127 = 13.472.160
24 × 3 × 52 × 7 × 13 × 127 = 13.868.400
3 × 52 × 7 × 13 × 17 × 127 = 14.735.175
24 × 5 × 7 × 13 × 17 × 127 = 15.717.520
23 × 3 × 52 × 13 × 17 × 127 = 16.840.200
24 × 3 × 52 × 7 × 17 × 127 = 18.135.600
25 × 3 × 7 × 13 × 17 × 127 = 18.861.024
22 × 52 × 7 × 13 × 17 × 127 = 19.646.900
25 × 52 × 13 × 17 × 127 = 22.453.600
23 × 3 × 5 × 7 × 13 × 17 × 127 = 23.576.280
25 × 3 × 52 × 7 × 13 × 127 = 27.736.800
2 × 3 × 52 × 7 × 13 × 17 × 127 = 29.470.350
25 × 5 × 7 × 13 × 17 × 127 = 31.435.040
24 × 3 × 52 × 13 × 17 × 127 = 33.680.400
25 × 3 × 52 × 7 × 17 × 127 = 36.271.200
23 × 52 × 7 × 13 × 17 × 127 = 39.293.800
24 × 3 × 5 × 7 × 13 × 17 × 127 = 47.152.560
22 × 3 × 52 × 7 × 13 × 17 × 127 = 58.940.700
25 × 3 × 52 × 13 × 17 × 127 = 67.360.800
24 × 52 × 7 × 13 × 17 × 127 = 78.587.600
25 × 3 × 5 × 7 × 13 × 17 × 127 = 94.305.120
23 × 3 × 52 × 7 × 13 × 17 × 127 = 117.881.400
25 × 52 × 7 × 13 × 17 × 127 = 157.175.200
24 × 3 × 52 × 7 × 13 × 17 × 127 = 235.762.800
25 × 3 × 52 × 7 × 13 × 17 × 127 = 471.525.600

La respuesta final:
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471.525.600 tiene 576 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 10; 12; 13; 14; 15; 16; 17; 20; 21; 24; 25; 26; 28; 30; 32; 34; 35; 39; 40; 42; 48; 50; 51; 52; 56; 60; 65; 68; 70; 75; 78; 80; 84; 85; 91; 96; 100; 102; 104; 105; 112; 119; 120; 127; 130; 136; 140; 150; 156; 160; 168; 170; 175; 182; 195; 200; 204; 208; 210; 221; 224; 238; 240; 254; 255; 260; 272; 273; 280; 300; 312; 325; 336; 340; 350; 357; 364; 381; 390; 400; 408; 416; 420; 425; 442; 455; 476; 480; 508; 510; 520; 525; 544; 546; 560; 595; 600; 624; 635; 650; 663; 672; 680; 700; 714; 728; 762; 780; 800; 816; 840; 850; 884; 889; 910; 952; 975; 1.016; 1.020; 1.040; 1.050; 1.092; 1.105; 1.120; 1.190; 1.200; 1.248; 1.270; 1.275; 1.300; 1.326; 1.360; 1.365; 1.400; 1.428; 1.456; 1.524; 1.547; 1.560; 1.632; 1.651; 1.680; 1.700; 1.768; 1.778; 1.785; 1.820; 1.904; 1.905; 1.950; 2.032; 2.040; 2.080; 2.100; 2.159; 2.184; 2.210; 2.275; 2.380; 2.400; 2.540; 2.550; 2.600; 2.652; 2.667; 2.720; 2.730; 2.800; 2.856; 2.912; 2.975; 3.048; 3.094; 3.120; 3.175; 3.302; 3.315; 3.360; 3.400; 3.536; 3.556; 3.570; 3.640; 3.808; 3.810; 3.900; 4.064; 4.080; 4.200; 4.318; 4.368; 4.420; 4.445; 4.550; 4.641; 4.760; 4.953; 5.080; 5.100; 5.200; 5.304; 5.334; 5.460; 5.525; 5.600; 5.712; 5.950; 6.096; 6.188; 6.240; 6.350; 6.477; 6.604; 6.630; 6.800; 6.825; 7.072; 7.112; 7.140; 7.280; 7.620; 7.735; 7.800; 8.160; 8.255; 8.400; 8.636; 8.736; 8.840; 8.890; 8.925; 9.100; 9.282; 9.520; 9.525; 9.906; 10.160; 10.200; 10.400; 10.608; 10.668; 10.795; 10.920; 11.050; 11.424; 11.557; 11.900; 12.192; 12.376; 12.700; 12.954; 13.208; 13.260; 13.335; 13.600; 13.650; 14.224; 14.280; 14.560; 15.113; 15.240; 15.470; 15.600; 16.510; 16.575; 16.800; 17.272; 17.680; 17.780; 17.850; 18.200; 18.564; 19.040; 19.050; 19.812; 20.320; 20.400; 21.216; 21.336; 21.590; 21.840; 22.100; 22.225; 23.114; 23.205; 23.800; 24.752; 24.765; 25.400; 25.908; 26.416; 26.520; 26.670; 27.300; 28.067; 28.448; 28.560; 30.226; 30.480; 30.940; 31.200; 32.385; 33.020; 33.150; 34.544; 34.671; 35.360; 35.560; 35.700; 36.400; 37.128; 38.100; 38.675; 39.624; 40.800; 41.275; 42.672; 43.180; 43.680; 44.200; 44.450; 45.339; 46.228; 46.410; 47.600; 49.504; 49.530; 50.800; 51.816; 52.832; 53.040; 53.340; 53.975; 54.600; 56.134; 57.120; 57.785; 60.452; 60.960; 61.880; 64.770; 66.040; 66.300; 66.675; 69.088; 69.342; 71.120; 71.400; 72.800; 74.256; 75.565; 76.200; 77.350; 79.248; 82.550; 84.201; 85.344; 86.360; 88.400; 88.900; 90.678; 92.456; 92.820; 95.200; 99.060; 101.600; 103.632; 106.080; 106.680; 107.950; 109.200; 112.268; 115.570; 116.025; 120.904; 123.760; 123.825; 129.540; 132.080; 132.600; 133.350; 138.684; 140.335; 142.240; 142.800; 148.512; 151.130; 152.400; 154.700; 158.496; 161.925; 165.100; 168.402; 172.720; 173.355; 176.800; 177.800; 181.356; 184.912; 185.640; 196.469; 198.120; 207.264; 213.360; 215.900; 218.400; 224.536; 226.695; 231.140; 232.050; 241.808; 247.520; 247.650; 259.080; 264.160; 265.200; 266.700; 277.368; 280.670; 285.600; 288.925; 302.260; 304.800; 309.400; 323.850; 330.200; 336.804; 345.440; 346.710; 355.600; 362.712; 369.824; 371.280; 377.825; 392.938; 396.240; 421.005; 426.720; 431.800; 449.072; 453.390; 462.280; 464.100; 483.616; 495.300; 518.160; 530.400; 533.400; 554.736; 561.340; 577.850; 589.407; 604.520; 618.800; 647.700; 660.400; 673.608; 693.420; 701.675; 711.200; 725.424; 742.560; 755.650; 785.876; 792.480; 842.010; 863.600; 866.775; 898.144; 906.780; 924.560; 928.200; 982.345; 990.600; 1.036.320; 1.066.800; 1.109.472; 1.122.680; 1.133.475; 1.155.700; 1.178.814; 1.209.040; 1.237.600; 1.295.400; 1.320.800; 1.347.216; 1.386.840; 1.403.350; 1.450.848; 1.511.300; 1.571.752; 1.684.020; 1.727.200; 1.733.550; 1.813.560; 1.849.120; 1.856.400; 1.964.690; 1.981.200; 2.105.025; 2.133.600; 2.245.360; 2.266.950; 2.311.400; 2.357.628; 2.418.080; 2.590.800; 2.694.432; 2.773.680; 2.806.700; 2.947.035; 3.022.600; 3.143.504; 3.368.040; 3.467.100; 3.627.120; 3.712.800; 3.929.380; 3.962.400; 4.210.050; 4.490.720; 4.533.900; 4.622.800; 4.715.256; 4.911.725; 5.181.600; 5.547.360; 5.613.400; 5.894.070; 6.045.200; 6.287.008; 6.736.080; 6.934.200; 7.254.240; 7.858.760; 8.420.100; 9.067.800; 9.245.600; 9.430.512; 9.823.450; 11.226.800; 11.788.140; 12.090.400; 13.472.160; 13.868.400; 14.735.175; 15.717.520; 16.840.200; 18.135.600; 18.861.024; 19.646.900; 22.453.600; 23.576.280; 27.736.800; 29.470.350; 31.435.040; 33.680.400; 36.271.200; 39.293.800; 47.152.560; 58.940.700; 67.360.800; 78.587.600; 94.305.120; 117.881.400; 157.175.200; 235.762.800 y 471.525.600
de los cuales 7 factores primos: 2; 3; 5; 7; 13; 17 y 127

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.


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.

Los últimos 10 conjuntos de divisores calculados: de un número o los divisores comunes de 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".