365.211.000: Calcula todos los divisores del número 365.211.000 (y los factores primos)

Los divisores del número 365.211.000

1. Realizar la descomposición del número 365.211.000 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.

365.211.000 = 23 × 32 × 53 × 7 × 11 × 17 × 31
365.211.000 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 365.211.000

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
factor primo = 17
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
52 = 25
22 × 7 = 28
2 × 3 × 5 = 30
factor primo = 31
3 × 11 = 33
2 × 17 = 34
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
2 × 52 = 50
3 × 17 = 51
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
2 × 31 = 62
32 × 7 = 63
2 × 3 × 11 = 66
22 × 17 = 68
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
7 × 11 = 77
22 × 3 × 7 = 84
5 × 17 = 85
23 × 11 = 88
2 × 32 × 5 = 90
3 × 31 = 93
32 × 11 = 99
22 × 52 = 100
2 × 3 × 17 = 102
3 × 5 × 7 = 105
2 × 5 × 11 = 110
7 × 17 = 119
23 × 3 × 5 = 120
22 × 31 = 124
53 = 125
2 × 32 × 7 = 126
22 × 3 × 11 = 132
23 × 17 = 136
22 × 5 × 7 = 140
2 × 3 × 52 = 150
32 × 17 = 153
2 × 7 × 11 = 154
5 × 31 = 155
3 × 5 × 11 = 165
23 × 3 × 7 = 168
2 × 5 × 17 = 170
52 × 7 = 175
22 × 32 × 5 = 180
2 × 3 × 31 = 186
11 × 17 = 187
2 × 32 × 11 = 198
23 × 52 = 200
22 × 3 × 17 = 204
2 × 3 × 5 × 7 = 210
7 × 31 = 217
22 × 5 × 11 = 220
32 × 52 = 225
3 × 7 × 11 = 231
2 × 7 × 17 = 238
23 × 31 = 248
2 × 53 = 250
22 × 32 × 7 = 252
3 × 5 × 17 = 255
23 × 3 × 11 = 264
52 × 11 = 275
32 × 31 = 279
23 × 5 × 7 = 280
22 × 3 × 52 = 300
2 × 32 × 17 = 306
22 × 7 × 11 = 308
2 × 5 × 31 = 310
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
22 × 5 × 17 = 340
11 × 31 = 341
2 × 52 × 7 = 350
3 × 7 × 17 = 357
23 × 32 × 5 = 360
22 × 3 × 31 = 372
2 × 11 × 17 = 374
3 × 53 = 375
5 × 7 × 11 = 385
22 × 32 × 11 = 396
23 × 3 × 17 = 408
22 × 3 × 5 × 7 = 420
52 × 17 = 425
2 × 7 × 31 = 434
23 × 5 × 11 = 440
2 × 32 × 52 = 450
2 × 3 × 7 × 11 = 462
3 × 5 × 31 = 465
22 × 7 × 17 = 476
32 × 5 × 11 = 495
22 × 53 = 500
23 × 32 × 7 = 504
2 × 3 × 5 × 17 = 510
3 × 52 × 7 = 525
17 × 31 = 527
2 × 52 × 11 = 550
2 × 32 × 31 = 558
3 × 11 × 17 = 561
5 × 7 × 17 = 595
23 × 3 × 52 = 600
22 × 32 × 17 = 612
23 × 7 × 11 = 616
22 × 5 × 31 = 620
2 × 32 × 5 × 7 = 630
3 × 7 × 31 = 651
22 × 3 × 5 × 11 = 660
23 × 5 × 17 = 680
2 × 11 × 31 = 682
32 × 7 × 11 = 693
22 × 52 × 7 = 700
2 × 3 × 7 × 17 = 714
23 × 3 × 31 = 744
22 × 11 × 17 = 748
2 × 3 × 53 = 750
32 × 5 × 17 = 765
2 × 5 × 7 × 11 = 770
52 × 31 = 775
23 × 32 × 11 = 792
3 × 52 × 11 = 825
23 × 3 × 5 × 7 = 840
2 × 52 × 17 = 850
22 × 7 × 31 = 868
53 × 7 = 875
22 × 32 × 52 = 900
22 × 3 × 7 × 11 = 924
2 × 3 × 5 × 31 = 930
5 × 11 × 17 = 935
23 × 7 × 17 = 952
2 × 32 × 5 × 11 = 990
23 × 53 = 1.000
22 × 3 × 5 × 17 = 1.020
3 × 11 × 31 = 1.023
2 × 3 × 52 × 7 = 1.050
2 × 17 × 31 = 1.054
32 × 7 × 17 = 1.071
5 × 7 × 31 = 1.085
22 × 52 × 11 = 1.100
22 × 32 × 31 = 1.116
2 × 3 × 11 × 17 = 1.122
32 × 53 = 1.125
3 × 5 × 7 × 11 = 1.155
2 × 5 × 7 × 17 = 1.190
23 × 32 × 17 = 1.224
23 × 5 × 31 = 1.240
22 × 32 × 5 × 7 = 1.260
3 × 52 × 17 = 1.275
2 × 3 × 7 × 31 = 1.302
7 × 11 × 17 = 1.309
23 × 3 × 5 × 11 = 1.320
22 × 11 × 31 = 1.364
53 × 11 = 1.375
2 × 32 × 7 × 11 = 1.386
32 × 5 × 31 = 1.395
23 × 52 × 7 = 1.400
22 × 3 × 7 × 17 = 1.428
23 × 11 × 17 = 1.496
22 × 3 × 53 = 1.500
2 × 32 × 5 × 17 = 1.530
22 × 5 × 7 × 11 = 1.540
2 × 52 × 31 = 1.550
32 × 52 × 7 = 1.575
3 × 17 × 31 = 1.581
2 × 3 × 52 × 11 = 1.650
32 × 11 × 17 = 1.683
22 × 52 × 17 = 1.700
5 × 11 × 31 = 1.705
23 × 7 × 31 = 1.736
2 × 53 × 7 = 1.750
3 × 5 × 7 × 17 = 1.785
23 × 32 × 52 = 1.800
23 × 3 × 7 × 11 = 1.848
22 × 3 × 5 × 31 = 1.860
2 × 5 × 11 × 17 = 1.870
52 × 7 × 11 = 1.925
32 × 7 × 31 = 1.953
22 × 32 × 5 × 11 = 1.980
23 × 3 × 5 × 17 = 2.040
2 × 3 × 11 × 31 = 2.046
22 × 3 × 52 × 7 = 2.100
22 × 17 × 31 = 2.108
53 × 17 = 2.125
2 × 32 × 7 × 17 = 2.142
2 × 5 × 7 × 31 = 2.170
23 × 52 × 11 = 2.200
23 × 32 × 31 = 2.232
22 × 3 × 11 × 17 = 2.244
2 × 32 × 53 = 2.250
2 × 3 × 5 × 7 × 11 = 2.310
3 × 52 × 31 = 2.325
22 × 5 × 7 × 17 = 2.380
7 × 11 × 31 = 2.387
32 × 52 × 11 = 2.475
23 × 32 × 5 × 7 = 2.520
2 × 3 × 52 × 17 = 2.550
22 × 3 × 7 × 31 = 2.604
2 × 7 × 11 × 17 = 2.618
3 × 53 × 7 = 2.625
5 × 17 × 31 = 2.635
23 × 11 × 31 = 2.728
2 × 53 × 11 = 2.750
22 × 32 × 7 × 11 = 2.772
2 × 32 × 5 × 31 = 2.790
3 × 5 × 11 × 17 = 2.805
23 × 3 × 7 × 17 = 2.856
52 × 7 × 17 = 2.975
23 × 3 × 53 = 3.000
22 × 32 × 5 × 17 = 3.060
32 × 11 × 31 = 3.069
23 × 5 × 7 × 11 = 3.080
22 × 52 × 31 = 3.100
2 × 32 × 52 × 7 = 3.150
2 × 3 × 17 × 31 = 3.162
3 × 5 × 7 × 31 = 3.255
22 × 3 × 52 × 11 = 3.300
2 × 32 × 11 × 17 = 3.366
23 × 52 × 17 = 3.400
2 × 5 × 11 × 31 = 3.410
32 × 5 × 7 × 11 = 3.465
22 × 53 × 7 = 3.500
2 × 3 × 5 × 7 × 17 = 3.570
7 × 17 × 31 = 3.689
23 × 3 × 5 × 31 = 3.720
22 × 5 × 11 × 17 = 3.740
32 × 52 × 17 = 3.825
2 × 52 × 7 × 11 = 3.850
53 × 31 = 3.875
2 × 32 × 7 × 31 = 3.906
3 × 7 × 11 × 17 = 3.927
23 × 32 × 5 × 11 = 3.960
22 × 3 × 11 × 31 = 4.092
3 × 53 × 11 = 4.125
23 × 3 × 52 × 7 = 4.200
23 × 17 × 31 = 4.216
2 × 53 × 17 = 4.250
22 × 32 × 7 × 17 = 4.284
22 × 5 × 7 × 31 = 4.340
23 × 3 × 11 × 17 = 4.488
22 × 32 × 53 = 4.500
22 × 3 × 5 × 7 × 11 = 4.620
2 × 3 × 52 × 31 = 4.650
52 × 11 × 17 = 4.675
32 × 17 × 31 = 4.743
23 × 5 × 7 × 17 = 4.760
2 × 7 × 11 × 31 = 4.774
2 × 32 × 52 × 11 = 4.950
22 × 3 × 52 × 17 = 5.100
3 × 5 × 11 × 31 = 5.115
23 × 3 × 7 × 31 = 5.208
22 × 7 × 11 × 17 = 5.236
2 × 3 × 53 × 7 = 5.250
2 × 5 × 17 × 31 = 5.270
32 × 5 × 7 × 17 = 5.355
52 × 7 × 31 = 5.425
22 × 53 × 11 = 5.500
23 × 32 × 7 × 11 = 5.544
22 × 32 × 5 × 31 = 5.580
2 × 3 × 5 × 11 × 17 = 5.610
3 × 52 × 7 × 11 = 5.775
11 × 17 × 31 = 5.797
2 × 52 × 7 × 17 = 5.950
23 × 32 × 5 × 17 = 6.120
2 × 32 × 11 × 31 = 6.138
23 × 52 × 31 = 6.200
22 × 32 × 52 × 7 = 6.300
22 × 3 × 17 × 31 = 6.324
3 × 53 × 17 = 6.375
2 × 3 × 5 × 7 × 31 = 6.510
5 × 7 × 11 × 17 = 6.545
23 × 3 × 52 × 11 = 6.600
22 × 32 × 11 × 17 = 6.732
22 × 5 × 11 × 31 = 6.820
2 × 32 × 5 × 7 × 11 = 6.930
32 × 52 × 31 = 6.975
23 × 53 × 7 = 7.000
22 × 3 × 5 × 7 × 17 = 7.140
3 × 7 × 11 × 31 = 7.161
2 × 7 × 17 × 31 = 7.378
23 × 5 × 11 × 17 = 7.480
2 × 32 × 52 × 17 = 7.650
22 × 52 × 7 × 11 = 7.700
2 × 53 × 31 = 7.750
22 × 32 × 7 × 31 = 7.812
2 × 3 × 7 × 11 × 17 = 7.854
32 × 53 × 7 = 7.875
3 × 5 × 17 × 31 = 7.905
23 × 3 × 11 × 31 = 8.184
2 × 3 × 53 × 11 = 8.250
32 × 5 × 11 × 17 = 8.415
22 × 53 × 17 = 8.500
52 × 11 × 31 = 8.525
23 × 32 × 7 × 17 = 8.568
23 × 5 × 7 × 31 = 8.680
3 × 52 × 7 × 17 = 8.925
23 × 32 × 53 = 9.000
23 × 3 × 5 × 7 × 11 = 9.240
22 × 3 × 52 × 31 = 9.300
2 × 52 × 11 × 17 = 9.350
2 × 32 × 17 × 31 = 9.486
22 × 7 × 11 × 31 = 9.548
53 × 7 × 11 = 9.625
32 × 5 × 7 × 31 = 9.765
22 × 32 × 52 × 11 = 9.900
23 × 3 × 52 × 17 = 10.200
2 × 3 × 5 × 11 × 31 = 10.230
23 × 7 × 11 × 17 = 10.472
22 × 3 × 53 × 7 = 10.500
22 × 5 × 17 × 31 = 10.540
2 × 32 × 5 × 7 × 17 = 10.710
2 × 52 × 7 × 31 = 10.850
23 × 53 × 11 = 11.000
3 × 7 × 17 × 31 = 11.067
23 × 32 × 5 × 31 = 11.160
22 × 3 × 5 × 11 × 17 = 11.220
2 × 3 × 52 × 7 × 11 = 11.550
2 × 11 × 17 × 31 = 11.594
3 × 53 × 31 = 11.625
32 × 7 × 11 × 17 = 11.781
22 × 52 × 7 × 17 = 11.900
5 × 7 × 11 × 31 = 11.935
22 × 32 × 11 × 31 = 12.276
32 × 53 × 11 = 12.375
23 × 32 × 52 × 7 = 12.600
23 × 3 × 17 × 31 = 12.648
2 × 3 × 53 × 17 = 12.750
22 × 3 × 5 × 7 × 31 = 13.020
2 × 5 × 7 × 11 × 17 = 13.090
52 × 17 × 31 = 13.175
23 × 32 × 11 × 17 = 13.464
23 × 5 × 11 × 31 = 13.640
22 × 32 × 5 × 7 × 11 = 13.860
2 × 32 × 52 × 31 = 13.950
3 × 52 × 11 × 17 = 14.025
23 × 3 × 5 × 7 × 17 = 14.280
2 × 3 × 7 × 11 × 31 = 14.322
22 × 7 × 17 × 31 = 14.756
53 × 7 × 17 = 14.875
22 × 32 × 52 × 17 = 15.300
32 × 5 × 11 × 31 = 15.345
23 × 52 × 7 × 11 = 15.400
22 × 53 × 31 = 15.500
23 × 32 × 7 × 31 = 15.624
22 × 3 × 7 × 11 × 17 = 15.708
2 × 32 × 53 × 7 = 15.750
2 × 3 × 5 × 17 × 31 = 15.810
3 × 52 × 7 × 31 = 16.275
22 × 3 × 53 × 11 = 16.500
2 × 32 × 5 × 11 × 17 = 16.830
23 × 53 × 17 = 17.000
2 × 52 × 11 × 31 = 17.050
32 × 52 × 7 × 11 = 17.325
3 × 11 × 17 × 31 = 17.391
2 × 3 × 52 × 7 × 17 = 17.850
5 × 7 × 17 × 31 = 18.445
23 × 3 × 52 × 31 = 18.600
22 × 52 × 11 × 17 = 18.700
22 × 32 × 17 × 31 = 18.972
23 × 7 × 11 × 31 = 19.096
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32 × 53 × 17 = 19.125
2 × 53 × 7 × 11 = 19.250
2 × 32 × 5 × 7 × 31 = 19.530
3 × 5 × 7 × 11 × 17 = 19.635
23 × 32 × 52 × 11 = 19.800
22 × 3 × 5 × 11 × 31 = 20.460
23 × 3 × 53 × 7 = 21.000
23 × 5 × 17 × 31 = 21.080
22 × 32 × 5 × 7 × 17 = 21.420
32 × 7 × 11 × 31 = 21.483
22 × 52 × 7 × 31 = 21.700
2 × 3 × 7 × 17 × 31 = 22.134
23 × 3 × 5 × 11 × 17 = 22.440
22 × 3 × 52 × 7 × 11 = 23.100
22 × 11 × 17 × 31 = 23.188
2 × 3 × 53 × 31 = 23.250
53 × 11 × 17 = 23.375
2 × 32 × 7 × 11 × 17 = 23.562
32 × 5 × 17 × 31 = 23.715
23 × 52 × 7 × 17 = 23.800
2 × 5 × 7 × 11 × 31 = 23.870
23 × 32 × 11 × 31 = 24.552
2 × 32 × 53 × 11 = 24.750
22 × 3 × 53 × 17 = 25.500
3 × 52 × 11 × 31 = 25.575
23 × 3 × 5 × 7 × 31 = 26.040
22 × 5 × 7 × 11 × 17 = 26.180
2 × 52 × 17 × 31 = 26.350
32 × 52 × 7 × 17 = 26.775
53 × 7 × 31 = 27.125
23 × 32 × 5 × 7 × 11 = 27.720
22 × 32 × 52 × 31 = 27.900
2 × 3 × 52 × 11 × 17 = 28.050
22 × 3 × 7 × 11 × 31 = 28.644
3 × 53 × 7 × 11 = 28.875
5 × 11 × 17 × 31 = 28.985
23 × 7 × 17 × 31 = 29.512
2 × 53 × 7 × 17 = 29.750
23 × 32 × 52 × 17 = 30.600
2 × 32 × 5 × 11 × 31 = 30.690
23 × 53 × 31 = 31.000
23 × 3 × 7 × 11 × 17 = 31.416
22 × 32 × 53 × 7 = 31.500
22 × 3 × 5 × 17 × 31 = 31.620
2 × 3 × 52 × 7 × 31 = 32.550
52 × 7 × 11 × 17 = 32.725
23 × 3 × 53 × 11 = 33.000
32 × 7 × 17 × 31 = 33.201
22 × 32 × 5 × 11 × 17 = 33.660
22 × 52 × 11 × 31 = 34.100
2 × 32 × 52 × 7 × 11 = 34.650
2 × 3 × 11 × 17 × 31 = 34.782
32 × 53 × 31 = 34.875
22 × 3 × 52 × 7 × 17 = 35.700
3 × 5 × 7 × 11 × 31 = 35.805
2 × 5 × 7 × 17 × 31 = 36.890
23 × 52 × 11 × 17 = 37.400
23 × 32 × 17 × 31 = 37.944
2 × 32 × 53 × 17 = 38.250
22 × 53 × 7 × 11 = 38.500
22 × 32 × 5 × 7 × 31 = 39.060
2 × 3 × 5 × 7 × 11 × 17 = 39.270
3 × 52 × 17 × 31 = 39.525
7 × 11 × 17 × 31 = 40.579
23 × 3 × 5 × 11 × 31 = 40.920
32 × 52 × 11 × 17 = 42.075
53 × 11 × 31 = 42.625
23 × 32 × 5 × 7 × 17 = 42.840
2 × 32 × 7 × 11 × 31 = 42.966
23 × 52 × 7 × 31 = 43.400
22 × 3 × 7 × 17 × 31 = 44.268
3 × 53 × 7 × 17 = 44.625
23 × 3 × 52 × 7 × 11 = 46.200
23 × 11 × 17 × 31 = 46.376
22 × 3 × 53 × 31 = 46.500
2 × 53 × 11 × 17 = 46.750
22 × 32 × 7 × 11 × 17 = 47.124
2 × 32 × 5 × 17 × 31 = 47.430
22 × 5 × 7 × 11 × 31 = 47.740
32 × 52 × 7 × 31 = 48.825
22 × 32 × 53 × 11 = 49.500
23 × 3 × 53 × 17 = 51.000
2 × 3 × 52 × 11 × 31 = 51.150
32 × 11 × 17 × 31 = 52.173
23 × 5 × 7 × 11 × 17 = 52.360
22 × 52 × 17 × 31 = 52.700
2 × 32 × 52 × 7 × 17 = 53.550
2 × 53 × 7 × 31 = 54.250
3 × 5 × 7 × 17 × 31 = 55.335
23 × 32 × 52 × 31 = 55.800
22 × 3 × 52 × 11 × 17 = 56.100
23 × 3 × 7 × 11 × 31 = 57.288
2 × 3 × 53 × 7 × 11 = 57.750
2 × 5 × 11 × 17 × 31 = 57.970
32 × 5 × 7 × 11 × 17 = 58.905
22 × 53 × 7 × 17 = 59.500
52 × 7 × 11 × 31 = 59.675
22 × 32 × 5 × 11 × 31 = 61.380
23 × 32 × 53 × 7 = 63.000
23 × 3 × 5 × 17 × 31 = 63.240
22 × 3 × 52 × 7 × 31 = 65.100
2 × 52 × 7 × 11 × 17 = 65.450
53 × 17 × 31 = 65.875
2 × 32 × 7 × 17 × 31 = 66.402
23 × 32 × 5 × 11 × 17 = 67.320
23 × 52 × 11 × 31 = 68.200
22 × 32 × 52 × 7 × 11 = 69.300
22 × 3 × 11 × 17 × 31 = 69.564
2 × 32 × 53 × 31 = 69.750
3 × 53 × 11 × 17 = 70.125
23 × 3 × 52 × 7 × 17 = 71.400
2 × 3 × 5 × 7 × 11 × 31 = 71.610
22 × 5 × 7 × 17 × 31 = 73.780
22 × 32 × 53 × 17 = 76.500
32 × 52 × 11 × 31 = 76.725
23 × 53 × 7 × 11 = 77.000
23 × 32 × 5 × 7 × 31 = 78.120
22 × 3 × 5 × 7 × 11 × 17 = 78.540
2 × 3 × 52 × 17 × 31 = 79.050
2 × 7 × 11 × 17 × 31 = 81.158
3 × 53 × 7 × 31 = 81.375
2 × 32 × 52 × 11 × 17 = 84.150
2 × 53 × 11 × 31 = 85.250
22 × 32 × 7 × 11 × 31 = 85.932
32 × 53 × 7 × 11 = 86.625
3 × 5 × 11 × 17 × 31 = 86.955
23 × 3 × 7 × 17 × 31 = 88.536
2 × 3 × 53 × 7 × 17 = 89.250
52 × 7 × 17 × 31 = 92.225
23 × 3 × 53 × 31 = 93.000
22 × 53 × 11 × 17 = 93.500
23 × 32 × 7 × 11 × 17 = 94.248
22 × 32 × 5 × 17 × 31 = 94.860
23 × 5 × 7 × 11 × 31 = 95.480
2 × 32 × 52 × 7 × 31 = 97.650
3 × 52 × 7 × 11 × 17 = 98.175
23 × 32 × 53 × 11 = 99.000
22 × 3 × 52 × 11 × 31 = 102.300
2 × 32 × 11 × 17 × 31 = 104.346
23 × 52 × 17 × 31 = 105.400
22 × 32 × 52 × 7 × 17 = 107.100
32 × 5 × 7 × 11 × 31 = 107.415
22 × 53 × 7 × 31 = 108.500
2 × 3 × 5 × 7 × 17 × 31 = 110.670
23 × 3 × 52 × 11 × 17 = 112.200
22 × 3 × 53 × 7 × 11 = 115.500
22 × 5 × 11 × 17 × 31 = 115.940
2 × 32 × 5 × 7 × 11 × 17 = 117.810
32 × 52 × 17 × 31 = 118.575
23 × 53 × 7 × 17 = 119.000
2 × 52 × 7 × 11 × 31 = 119.350
3 × 7 × 11 × 17 × 31 = 121.737
23 × 32 × 5 × 11 × 31 = 122.760
3 × 53 × 11 × 31 = 127.875
23 × 3 × 52 × 7 × 31 = 130.200
22 × 52 × 7 × 11 × 17 = 130.900
2 × 53 × 17 × 31 = 131.750
22 × 32 × 7 × 17 × 31 = 132.804
32 × 53 × 7 × 17 = 133.875
23 × 32 × 52 × 7 × 11 = 138.600
23 × 3 × 11 × 17 × 31 = 139.128
22 × 32 × 53 × 31 = 139.500
2 × 3 × 53 × 11 × 17 = 140.250
22 × 3 × 5 × 7 × 11 × 31 = 143.220
52 × 11 × 17 × 31 = 144.925
23 × 5 × 7 × 17 × 31 = 147.560
23 × 32 × 53 × 17 = 153.000
2 × 32 × 52 × 11 × 31 = 153.450
23 × 3 × 5 × 7 × 11 × 17 = 157.080
22 × 3 × 52 × 17 × 31 = 158.100
22 × 7 × 11 × 17 × 31 = 162.316
2 × 3 × 53 × 7 × 31 = 162.750
53 × 7 × 11 × 17 = 163.625
32 × 5 × 7 × 17 × 31 = 166.005
22 × 32 × 52 × 11 × 17 = 168.300
22 × 53 × 11 × 31 = 170.500
23 × 32 × 7 × 11 × 31 = 171.864
2 × 32 × 53 × 7 × 11 = 173.250
2 × 3 × 5 × 11 × 17 × 31 = 173.910
22 × 3 × 53 × 7 × 17 = 178.500
3 × 52 × 7 × 11 × 31 = 179.025
2 × 52 × 7 × 17 × 31 = 184.450
23 × 53 × 11 × 17 = 187.000
23 × 32 × 5 × 17 × 31 = 189.720
22 × 32 × 52 × 7 × 31 = 195.300
2 × 3 × 52 × 7 × 11 × 17 = 196.350
3 × 53 × 17 × 31 = 197.625
5 × 7 × 11 × 17 × 31 = 202.895
23 × 3 × 52 × 11 × 31 = 204.600
22 × 32 × 11 × 17 × 31 = 208.692
32 × 53 × 11 × 17 = 210.375
23 × 32 × 52 × 7 × 17 = 214.200
2 × 32 × 5 × 7 × 11 × 31 = 214.830
23 × 53 × 7 × 31 = 217.000
22 × 3 × 5 × 7 × 17 × 31 = 221.340
23 × 3 × 53 × 7 × 11 = 231.000
23 × 5 × 11 × 17 × 31 = 231.880
22 × 32 × 5 × 7 × 11 × 17 = 235.620
2 × 32 × 52 × 17 × 31 = 237.150
22 × 52 × 7 × 11 × 31 = 238.700
2 × 3 × 7 × 11 × 17 × 31 = 243.474
32 × 53 × 7 × 31 = 244.125
2 × 3 × 53 × 11 × 31 = 255.750
32 × 5 × 11 × 17 × 31 = 260.865
23 × 52 × 7 × 11 × 17 = 261.800
22 × 53 × 17 × 31 = 263.500
23 × 32 × 7 × 17 × 31 = 265.608
2 × 32 × 53 × 7 × 17 = 267.750
3 × 52 × 7 × 17 × 31 = 276.675
23 × 32 × 53 × 31 = 279.000
22 × 3 × 53 × 11 × 17 = 280.500
23 × 3 × 5 × 7 × 11 × 31 = 286.440
2 × 52 × 11 × 17 × 31 = 289.850
32 × 52 × 7 × 11 × 17 = 294.525
53 × 7 × 11 × 31 = 298.375
22 × 32 × 52 × 11 × 31 = 306.900
23 × 3 × 52 × 17 × 31 = 316.200
23 × 7 × 11 × 17 × 31 = 324.632
22 × 3 × 53 × 7 × 31 = 325.500
2 × 53 × 7 × 11 × 17 = 327.250
2 × 32 × 5 × 7 × 17 × 31 = 332.010
23 × 32 × 52 × 11 × 17 = 336.600
23 × 53 × 11 × 31 = 341.000
22 × 32 × 53 × 7 × 11 = 346.500
22 × 3 × 5 × 11 × 17 × 31 = 347.820
23 × 3 × 53 × 7 × 17 = 357.000
2 × 3 × 52 × 7 × 11 × 31 = 358.050
32 × 7 × 11 × 17 × 31 = 365.211
22 × 52 × 7 × 17 × 31 = 368.900
32 × 53 × 11 × 31 = 383.625
23 × 32 × 52 × 7 × 31 = 390.600
22 × 3 × 52 × 7 × 11 × 17 = 392.700
2 × 3 × 53 × 17 × 31 = 395.250
2 × 5 × 7 × 11 × 17 × 31 = 405.790
23 × 32 × 11 × 17 × 31 = 417.384
2 × 32 × 53 × 11 × 17 = 420.750
22 × 32 × 5 × 7 × 11 × 31 = 429.660
3 × 52 × 11 × 17 × 31 = 434.775
23 × 3 × 5 × 7 × 17 × 31 = 442.680
53 × 7 × 17 × 31 = 461.125
23 × 32 × 5 × 7 × 11 × 17 = 471.240
22 × 32 × 52 × 17 × 31 = 474.300
23 × 52 × 7 × 11 × 31 = 477.400
22 × 3 × 7 × 11 × 17 × 31 = 486.948
2 × 32 × 53 × 7 × 31 = 488.250
3 × 53 × 7 × 11 × 17 = 490.875
22 × 3 × 53 × 11 × 31 = 511.500
2 × 32 × 5 × 11 × 17 × 31 = 521.730
23 × 53 × 17 × 31 = 527.000
22 × 32 × 53 × 7 × 17 = 535.500
32 × 52 × 7 × 11 × 31 = 537.075
2 × 3 × 52 × 7 × 17 × 31 = 553.350
23 × 3 × 53 × 11 × 17 = 561.000
22 × 52 × 11 × 17 × 31 = 579.700
2 × 32 × 52 × 7 × 11 × 17 = 589.050
32 × 53 × 17 × 31 = 592.875
2 × 53 × 7 × 11 × 31 = 596.750
3 × 5 × 7 × 11 × 17 × 31 = 608.685
23 × 32 × 52 × 11 × 31 = 613.800
23 × 3 × 53 × 7 × 31 = 651.000
22 × 53 × 7 × 11 × 17 = 654.500
22 × 32 × 5 × 7 × 17 × 31 = 664.020
23 × 32 × 53 × 7 × 11 = 693.000
23 × 3 × 5 × 11 × 17 × 31 = 695.640
22 × 3 × 52 × 7 × 11 × 31 = 716.100
53 × 11 × 17 × 31 = 724.625
2 × 32 × 7 × 11 × 17 × 31 = 730.422
23 × 52 × 7 × 17 × 31 = 737.800
2 × 32 × 53 × 11 × 31 = 767.250
23 × 3 × 52 × 7 × 11 × 17 = 785.400
22 × 3 × 53 × 17 × 31 = 790.500
22 × 5 × 7 × 11 × 17 × 31 = 811.580
32 × 52 × 7 × 17 × 31 = 830.025
22 × 32 × 53 × 11 × 17 = 841.500
23 × 32 × 5 × 7 × 11 × 31 = 859.320
2 × 3 × 52 × 11 × 17 × 31 = 869.550
3 × 53 × 7 × 11 × 31 = 895.125
2 × 53 × 7 × 17 × 31 = 922.250
23 × 32 × 52 × 17 × 31 = 948.600
23 × 3 × 7 × 11 × 17 × 31 = 973.896
22 × 32 × 53 × 7 × 31 = 976.500
2 × 3 × 53 × 7 × 11 × 17 = 981.750
52 × 7 × 11 × 17 × 31 = 1.014.475
23 × 3 × 53 × 11 × 31 = 1.023.000
22 × 32 × 5 × 11 × 17 × 31 = 1.043.460
23 × 32 × 53 × 7 × 17 = 1.071.000
2 × 32 × 52 × 7 × 11 × 31 = 1.074.150
22 × 3 × 52 × 7 × 17 × 31 = 1.106.700
23 × 52 × 11 × 17 × 31 = 1.159.400
22 × 32 × 52 × 7 × 11 × 17 = 1.178.100
2 × 32 × 53 × 17 × 31 = 1.185.750
22 × 53 × 7 × 11 × 31 = 1.193.500
2 × 3 × 5 × 7 × 11 × 17 × 31 = 1.217.370
32 × 52 × 11 × 17 × 31 = 1.304.325
23 × 53 × 7 × 11 × 17 = 1.309.000
23 × 32 × 5 × 7 × 17 × 31 = 1.328.040
3 × 53 × 7 × 17 × 31 = 1.383.375
23 × 3 × 52 × 7 × 11 × 31 = 1.432.200
2 × 53 × 11 × 17 × 31 = 1.449.250
22 × 32 × 7 × 11 × 17 × 31 = 1.460.844
32 × 53 × 7 × 11 × 17 = 1.472.625
22 × 32 × 53 × 11 × 31 = 1.534.500
23 × 3 × 53 × 17 × 31 = 1.581.000
23 × 5 × 7 × 11 × 17 × 31 = 1.623.160
2 × 32 × 52 × 7 × 17 × 31 = 1.660.050
23 × 32 × 53 × 11 × 17 = 1.683.000
22 × 3 × 52 × 11 × 17 × 31 = 1.739.100
2 × 3 × 53 × 7 × 11 × 31 = 1.790.250
32 × 5 × 7 × 11 × 17 × 31 = 1.826.055
22 × 53 × 7 × 17 × 31 = 1.844.500
23 × 32 × 53 × 7 × 31 = 1.953.000
22 × 3 × 53 × 7 × 11 × 17 = 1.963.500
2 × 52 × 7 × 11 × 17 × 31 = 2.028.950
23 × 32 × 5 × 11 × 17 × 31 = 2.086.920
22 × 32 × 52 × 7 × 11 × 31 = 2.148.300
3 × 53 × 11 × 17 × 31 = 2.173.875
23 × 3 × 52 × 7 × 17 × 31 = 2.213.400
23 × 32 × 52 × 7 × 11 × 17 = 2.356.200
22 × 32 × 53 × 17 × 31 = 2.371.500
23 × 53 × 7 × 11 × 31 = 2.387.000
22 × 3 × 5 × 7 × 11 × 17 × 31 = 2.434.740
2 × 32 × 52 × 11 × 17 × 31 = 2.608.650
32 × 53 × 7 × 11 × 31 = 2.685.375
2 × 3 × 53 × 7 × 17 × 31 = 2.766.750
22 × 53 × 11 × 17 × 31 = 2.898.500
23 × 32 × 7 × 11 × 17 × 31 = 2.921.688
2 × 32 × 53 × 7 × 11 × 17 = 2.945.250
3 × 52 × 7 × 11 × 17 × 31 = 3.043.425
23 × 32 × 53 × 11 × 31 = 3.069.000
22 × 32 × 52 × 7 × 17 × 31 = 3.320.100
23 × 3 × 52 × 11 × 17 × 31 = 3.478.200
22 × 3 × 53 × 7 × 11 × 31 = 3.580.500
2 × 32 × 5 × 7 × 11 × 17 × 31 = 3.652.110
23 × 53 × 7 × 17 × 31 = 3.689.000
23 × 3 × 53 × 7 × 11 × 17 = 3.927.000
22 × 52 × 7 × 11 × 17 × 31 = 4.057.900
32 × 53 × 7 × 17 × 31 = 4.150.125
23 × 32 × 52 × 7 × 11 × 31 = 4.296.600
2 × 3 × 53 × 11 × 17 × 31 = 4.347.750
23 × 32 × 53 × 17 × 31 = 4.743.000
23 × 3 × 5 × 7 × 11 × 17 × 31 = 4.869.480
53 × 7 × 11 × 17 × 31 = 5.072.375
22 × 32 × 52 × 11 × 17 × 31 = 5.217.300
2 × 32 × 53 × 7 × 11 × 31 = 5.370.750
22 × 3 × 53 × 7 × 17 × 31 = 5.533.500
23 × 53 × 11 × 17 × 31 = 5.797.000
22 × 32 × 53 × 7 × 11 × 17 = 5.890.500
2 × 3 × 52 × 7 × 11 × 17 × 31 = 6.086.850
32 × 53 × 11 × 17 × 31 = 6.521.625
23 × 32 × 52 × 7 × 17 × 31 = 6.640.200
23 × 3 × 53 × 7 × 11 × 31 = 7.161.000
22 × 32 × 5 × 7 × 11 × 17 × 31 = 7.304.220
23 × 52 × 7 × 11 × 17 × 31 = 8.115.800
2 × 32 × 53 × 7 × 17 × 31 = 8.300.250
22 × 3 × 53 × 11 × 17 × 31 = 8.695.500
32 × 52 × 7 × 11 × 17 × 31 = 9.130.275
2 × 53 × 7 × 11 × 17 × 31 = 10.144.750
23 × 32 × 52 × 11 × 17 × 31 = 10.434.600
22 × 32 × 53 × 7 × 11 × 31 = 10.741.500
23 × 3 × 53 × 7 × 17 × 31 = 11.067.000
23 × 32 × 53 × 7 × 11 × 17 = 11.781.000
22 × 3 × 52 × 7 × 11 × 17 × 31 = 12.173.700
2 × 32 × 53 × 11 × 17 × 31 = 13.043.250
23 × 32 × 5 × 7 × 11 × 17 × 31 = 14.608.440
3 × 53 × 7 × 11 × 17 × 31 = 15.217.125
22 × 32 × 53 × 7 × 17 × 31 = 16.600.500
23 × 3 × 53 × 11 × 17 × 31 = 17.391.000
2 × 32 × 52 × 7 × 11 × 17 × 31 = 18.260.550
22 × 53 × 7 × 11 × 17 × 31 = 20.289.500
23 × 32 × 53 × 7 × 11 × 31 = 21.483.000
23 × 3 × 52 × 7 × 11 × 17 × 31 = 24.347.400
22 × 32 × 53 × 11 × 17 × 31 = 26.086.500
2 × 3 × 53 × 7 × 11 × 17 × 31 = 30.434.250
23 × 32 × 53 × 7 × 17 × 31 = 33.201.000
22 × 32 × 52 × 7 × 11 × 17 × 31 = 36.521.100
23 × 53 × 7 × 11 × 17 × 31 = 40.579.000
32 × 53 × 7 × 11 × 17 × 31 = 45.651.375
23 × 32 × 53 × 11 × 17 × 31 = 52.173.000
22 × 3 × 53 × 7 × 11 × 17 × 31 = 60.868.500
23 × 32 × 52 × 7 × 11 × 17 × 31 = 73.042.200
2 × 32 × 53 × 7 × 11 × 17 × 31 = 91.302.750
23 × 3 × 53 × 7 × 11 × 17 × 31 = 121.737.000
22 × 32 × 53 × 7 × 11 × 17 × 31 = 182.605.500
23 × 32 × 53 × 7 × 11 × 17 × 31 = 365.211.000

La respuesta final:
(desplazarse hacia abajo)

365.211.000 tiene 768 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 17; 18; 20; 21; 22; 24; 25; 28; 30; 31; 33; 34; 35; 36; 40; 42; 44; 45; 50; 51; 55; 56; 60; 62; 63; 66; 68; 70; 72; 75; 77; 84; 85; 88; 90; 93; 99; 100; 102; 105; 110; 119; 120; 124; 125; 126; 132; 136; 140; 150; 153; 154; 155; 165; 168; 170; 175; 180; 186; 187; 198; 200; 204; 210; 217; 220; 225; 231; 238; 248; 250; 252; 255; 264; 275; 279; 280; 300; 306; 308; 310; 315; 330; 340; 341; 350; 357; 360; 372; 374; 375; 385; 396; 408; 420; 425; 434; 440; 450; 462; 465; 476; 495; 500; 504; 510; 525; 527; 550; 558; 561; 595; 600; 612; 616; 620; 630; 651; 660; 680; 682; 693; 700; 714; 744; 748; 750; 765; 770; 775; 792; 825; 840; 850; 868; 875; 900; 924; 930; 935; 952; 990; 1.000; 1.020; 1.023; 1.050; 1.054; 1.071; 1.085; 1.100; 1.116; 1.122; 1.125; 1.155; 1.190; 1.224; 1.240; 1.260; 1.275; 1.302; 1.309; 1.320; 1.364; 1.375; 1.386; 1.395; 1.400; 1.428; 1.496; 1.500; 1.530; 1.540; 1.550; 1.575; 1.581; 1.650; 1.683; 1.700; 1.705; 1.736; 1.750; 1.785; 1.800; 1.848; 1.860; 1.870; 1.925; 1.953; 1.980; 2.040; 2.046; 2.100; 2.108; 2.125; 2.142; 2.170; 2.200; 2.232; 2.244; 2.250; 2.310; 2.325; 2.380; 2.387; 2.475; 2.520; 2.550; 2.604; 2.618; 2.625; 2.635; 2.728; 2.750; 2.772; 2.790; 2.805; 2.856; 2.975; 3.000; 3.060; 3.069; 3.080; 3.100; 3.150; 3.162; 3.255; 3.300; 3.366; 3.400; 3.410; 3.465; 3.500; 3.570; 3.689; 3.720; 3.740; 3.825; 3.850; 3.875; 3.906; 3.927; 3.960; 4.092; 4.125; 4.200; 4.216; 4.250; 4.284; 4.340; 4.488; 4.500; 4.620; 4.650; 4.675; 4.743; 4.760; 4.774; 4.950; 5.100; 5.115; 5.208; 5.236; 5.250; 5.270; 5.355; 5.425; 5.500; 5.544; 5.580; 5.610; 5.775; 5.797; 5.950; 6.120; 6.138; 6.200; 6.300; 6.324; 6.375; 6.510; 6.545; 6.600; 6.732; 6.820; 6.930; 6.975; 7.000; 7.140; 7.161; 7.378; 7.480; 7.650; 7.700; 7.750; 7.812; 7.854; 7.875; 7.905; 8.184; 8.250; 8.415; 8.500; 8.525; 8.568; 8.680; 8.925; 9.000; 9.240; 9.300; 9.350; 9.486; 9.548; 9.625; 9.765; 9.900; 10.200; 10.230; 10.472; 10.500; 10.540; 10.710; 10.850; 11.000; 11.067; 11.160; 11.220; 11.550; 11.594; 11.625; 11.781; 11.900; 11.935; 12.276; 12.375; 12.600; 12.648; 12.750; 13.020; 13.090; 13.175; 13.464; 13.640; 13.860; 13.950; 14.025; 14.280; 14.322; 14.756; 14.875; 15.300; 15.345; 15.400; 15.500; 15.624; 15.708; 15.750; 15.810; 16.275; 16.500; 16.830; 17.000; 17.050; 17.325; 17.391; 17.850; 18.445; 18.600; 18.700; 18.972; 19.096; 19.125; 19.250; 19.530; 19.635; 19.800; 20.460; 21.000; 21.080; 21.420; 21.483; 21.700; 22.134; 22.440; 23.100; 23.188; 23.250; 23.375; 23.562; 23.715; 23.800; 23.870; 24.552; 24.750; 25.500; 25.575; 26.040; 26.180; 26.350; 26.775; 27.125; 27.720; 27.900; 28.050; 28.644; 28.875; 28.985; 29.512; 29.750; 30.600; 30.690; 31.000; 31.416; 31.500; 31.620; 32.550; 32.725; 33.000; 33.201; 33.660; 34.100; 34.650; 34.782; 34.875; 35.700; 35.805; 36.890; 37.400; 37.944; 38.250; 38.500; 39.060; 39.270; 39.525; 40.579; 40.920; 42.075; 42.625; 42.840; 42.966; 43.400; 44.268; 44.625; 46.200; 46.376; 46.500; 46.750; 47.124; 47.430; 47.740; 48.825; 49.500; 51.000; 51.150; 52.173; 52.360; 52.700; 53.550; 54.250; 55.335; 55.800; 56.100; 57.288; 57.750; 57.970; 58.905; 59.500; 59.675; 61.380; 63.000; 63.240; 65.100; 65.450; 65.875; 66.402; 67.320; 68.200; 69.300; 69.564; 69.750; 70.125; 71.400; 71.610; 73.780; 76.500; 76.725; 77.000; 78.120; 78.540; 79.050; 81.158; 81.375; 84.150; 85.250; 85.932; 86.625; 86.955; 88.536; 89.250; 92.225; 93.000; 93.500; 94.248; 94.860; 95.480; 97.650; 98.175; 99.000; 102.300; 104.346; 105.400; 107.100; 107.415; 108.500; 110.670; 112.200; 115.500; 115.940; 117.810; 118.575; 119.000; 119.350; 121.737; 122.760; 127.875; 130.200; 130.900; 131.750; 132.804; 133.875; 138.600; 139.128; 139.500; 140.250; 143.220; 144.925; 147.560; 153.000; 153.450; 157.080; 158.100; 162.316; 162.750; 163.625; 166.005; 168.300; 170.500; 171.864; 173.250; 173.910; 178.500; 179.025; 184.450; 187.000; 189.720; 195.300; 196.350; 197.625; 202.895; 204.600; 208.692; 210.375; 214.200; 214.830; 217.000; 221.340; 231.000; 231.880; 235.620; 237.150; 238.700; 243.474; 244.125; 255.750; 260.865; 261.800; 263.500; 265.608; 267.750; 276.675; 279.000; 280.500; 286.440; 289.850; 294.525; 298.375; 306.900; 316.200; 324.632; 325.500; 327.250; 332.010; 336.600; 341.000; 346.500; 347.820; 357.000; 358.050; 365.211; 368.900; 383.625; 390.600; 392.700; 395.250; 405.790; 417.384; 420.750; 429.660; 434.775; 442.680; 461.125; 471.240; 474.300; 477.400; 486.948; 488.250; 490.875; 511.500; 521.730; 527.000; 535.500; 537.075; 553.350; 561.000; 579.700; 589.050; 592.875; 596.750; 608.685; 613.800; 651.000; 654.500; 664.020; 693.000; 695.640; 716.100; 724.625; 730.422; 737.800; 767.250; 785.400; 790.500; 811.580; 830.025; 841.500; 859.320; 869.550; 895.125; 922.250; 948.600; 973.896; 976.500; 981.750; 1.014.475; 1.023.000; 1.043.460; 1.071.000; 1.074.150; 1.106.700; 1.159.400; 1.178.100; 1.185.750; 1.193.500; 1.217.370; 1.304.325; 1.309.000; 1.328.040; 1.383.375; 1.432.200; 1.449.250; 1.460.844; 1.472.625; 1.534.500; 1.581.000; 1.623.160; 1.660.050; 1.683.000; 1.739.100; 1.790.250; 1.826.055; 1.844.500; 1.953.000; 1.963.500; 2.028.950; 2.086.920; 2.148.300; 2.173.875; 2.213.400; 2.356.200; 2.371.500; 2.387.000; 2.434.740; 2.608.650; 2.685.375; 2.766.750; 2.898.500; 2.921.688; 2.945.250; 3.043.425; 3.069.000; 3.320.100; 3.478.200; 3.580.500; 3.652.110; 3.689.000; 3.927.000; 4.057.900; 4.150.125; 4.296.600; 4.347.750; 4.743.000; 4.869.480; 5.072.375; 5.217.300; 5.370.750; 5.533.500; 5.797.000; 5.890.500; 6.086.850; 6.521.625; 6.640.200; 7.161.000; 7.304.220; 8.115.800; 8.300.250; 8.695.500; 9.130.275; 10.144.750; 10.434.600; 10.741.500; 11.067.000; 11.781.000; 12.173.700; 13.043.250; 14.608.440; 15.217.125; 16.600.500; 17.391.000; 18.260.550; 20.289.500; 21.483.000; 24.347.400; 26.086.500; 30.434.250; 33.201.000; 36.521.100; 40.579.000; 45.651.375; 52.173.000; 60.868.500; 73.042.200; 91.302.750; 121.737.000; 182.605.500 y 365.211.000
de los cuales 7 factores primos: 2; 3; 5; 7; 11; 17 y 31

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".