Given the Number 82,736,640, Calculate (Find) All the Factors (All the Divisors) of the Number 82,736,640 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 82,736,640

1. Carry out the prime factorization of the number 82,736,640:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


82,736,640 = 29 × 35 × 5 × 7 × 19
82,736,640 is not a prime number but a composite one.


* Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.


2. Multiply the prime factors of the number 82,736,640

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.


Also consider the exponents of these prime factors.

Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
prime factor = 5
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
2 × 5 = 10
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
prime factor = 19
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
5 × 7 = 35
22 × 32 = 36
2 × 19 = 38
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
24 × 3 = 48
2 × 33 = 54
23 × 7 = 56
3 × 19 = 57
22 × 3 × 5 = 60
32 × 7 = 63
26 = 64
2 × 5 × 7 = 70
23 × 32 = 72
22 × 19 = 76
24 × 5 = 80
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
5 × 19 = 95
25 × 3 = 96
3 × 5 × 7 = 105
22 × 33 = 108
24 × 7 = 112
2 × 3 × 19 = 114
23 × 3 × 5 = 120
2 × 32 × 7 = 126
27 = 128
7 × 19 = 133
33 × 5 = 135
22 × 5 × 7 = 140
24 × 32 = 144
23 × 19 = 152
25 × 5 = 160
2 × 34 = 162
23 × 3 × 7 = 168
32 × 19 = 171
22 × 32 × 5 = 180
33 × 7 = 189
2 × 5 × 19 = 190
26 × 3 = 192
2 × 3 × 5 × 7 = 210
23 × 33 = 216
25 × 7 = 224
22 × 3 × 19 = 228
24 × 3 × 5 = 240
35 = 243
22 × 32 × 7 = 252
28 = 256
2 × 7 × 19 = 266
2 × 33 × 5 = 270
23 × 5 × 7 = 280
3 × 5 × 19 = 285
25 × 32 = 288
24 × 19 = 304
32 × 5 × 7 = 315
26 × 5 = 320
22 × 34 = 324
24 × 3 × 7 = 336
2 × 32 × 19 = 342
23 × 32 × 5 = 360
2 × 33 × 7 = 378
22 × 5 × 19 = 380
27 × 3 = 384
3 × 7 × 19 = 399
34 × 5 = 405
22 × 3 × 5 × 7 = 420
24 × 33 = 432
26 × 7 = 448
23 × 3 × 19 = 456
25 × 3 × 5 = 480
2 × 35 = 486
23 × 32 × 7 = 504
29 = 512
33 × 19 = 513
22 × 7 × 19 = 532
22 × 33 × 5 = 540
24 × 5 × 7 = 560
34 × 7 = 567
2 × 3 × 5 × 19 = 570
26 × 32 = 576
25 × 19 = 608
2 × 32 × 5 × 7 = 630
27 × 5 = 640
23 × 34 = 648
5 × 7 × 19 = 665
25 × 3 × 7 = 672
22 × 32 × 19 = 684
24 × 32 × 5 = 720
22 × 33 × 7 = 756
23 × 5 × 19 = 760
28 × 3 = 768
2 × 3 × 7 × 19 = 798
2 × 34 × 5 = 810
23 × 3 × 5 × 7 = 840
32 × 5 × 19 = 855
25 × 33 = 864
27 × 7 = 896
24 × 3 × 19 = 912
33 × 5 × 7 = 945
26 × 3 × 5 = 960
22 × 35 = 972
24 × 32 × 7 = 1,008
2 × 33 × 19 = 1,026
23 × 7 × 19 = 1,064
23 × 33 × 5 = 1,080
25 × 5 × 7 = 1,120
2 × 34 × 7 = 1,134
22 × 3 × 5 × 19 = 1,140
27 × 32 = 1,152
32 × 7 × 19 = 1,197
35 × 5 = 1,215
26 × 19 = 1,216
22 × 32 × 5 × 7 = 1,260
28 × 5 = 1,280
24 × 34 = 1,296
2 × 5 × 7 × 19 = 1,330
26 × 3 × 7 = 1,344
23 × 32 × 19 = 1,368
25 × 32 × 5 = 1,440
23 × 33 × 7 = 1,512
24 × 5 × 19 = 1,520
29 × 3 = 1,536
34 × 19 = 1,539
22 × 3 × 7 × 19 = 1,596
22 × 34 × 5 = 1,620
24 × 3 × 5 × 7 = 1,680
35 × 7 = 1,701
2 × 32 × 5 × 19 = 1,710
26 × 33 = 1,728
28 × 7 = 1,792
25 × 3 × 19 = 1,824
2 × 33 × 5 × 7 = 1,890
27 × 3 × 5 = 1,920
23 × 35 = 1,944
3 × 5 × 7 × 19 = 1,995
25 × 32 × 7 = 2,016
22 × 33 × 19 = 2,052
24 × 7 × 19 = 2,128
24 × 33 × 5 = 2,160
26 × 5 × 7 = 2,240
22 × 34 × 7 = 2,268
23 × 3 × 5 × 19 = 2,280
28 × 32 = 2,304
2 × 32 × 7 × 19 = 2,394
2 × 35 × 5 = 2,430
27 × 19 = 2,432
23 × 32 × 5 × 7 = 2,520
29 × 5 = 2,560
33 × 5 × 19 = 2,565
25 × 34 = 2,592
22 × 5 × 7 × 19 = 2,660
27 × 3 × 7 = 2,688
24 × 32 × 19 = 2,736
34 × 5 × 7 = 2,835
26 × 32 × 5 = 2,880
24 × 33 × 7 = 3,024
25 × 5 × 19 = 3,040
2 × 34 × 19 = 3,078
23 × 3 × 7 × 19 = 3,192
23 × 34 × 5 = 3,240
25 × 3 × 5 × 7 = 3,360
2 × 35 × 7 = 3,402
22 × 32 × 5 × 19 = 3,420
27 × 33 = 3,456
29 × 7 = 3,584
33 × 7 × 19 = 3,591
26 × 3 × 19 = 3,648
22 × 33 × 5 × 7 = 3,780
28 × 3 × 5 = 3,840
24 × 35 = 3,888
2 × 3 × 5 × 7 × 19 = 3,990
26 × 32 × 7 = 4,032
23 × 33 × 19 = 4,104
25 × 7 × 19 = 4,256
25 × 33 × 5 = 4,320
27 × 5 × 7 = 4,480
23 × 34 × 7 = 4,536
24 × 3 × 5 × 19 = 4,560
29 × 32 = 4,608
35 × 19 = 4,617
22 × 32 × 7 × 19 = 4,788
22 × 35 × 5 = 4,860
28 × 19 = 4,864
24 × 32 × 5 × 7 = 5,040
2 × 33 × 5 × 19 = 5,130
26 × 34 = 5,184
23 × 5 × 7 × 19 = 5,320
28 × 3 × 7 = 5,376
25 × 32 × 19 = 5,472
2 × 34 × 5 × 7 = 5,670
27 × 32 × 5 = 5,760
32 × 5 × 7 × 19 = 5,985
25 × 33 × 7 = 6,048
26 × 5 × 19 = 6,080
22 × 34 × 19 = 6,156
24 × 3 × 7 × 19 = 6,384
24 × 34 × 5 = 6,480
26 × 3 × 5 × 7 = 6,720
22 × 35 × 7 = 6,804
23 × 32 × 5 × 19 = 6,840
28 × 33 = 6,912
2 × 33 × 7 × 19 = 7,182
27 × 3 × 19 = 7,296
23 × 33 × 5 × 7 = 7,560
29 × 3 × 5 = 7,680
34 × 5 × 19 = 7,695
25 × 35 = 7,776
22 × 3 × 5 × 7 × 19 = 7,980
27 × 32 × 7 = 8,064
24 × 33 × 19 = 8,208
35 × 5 × 7 = 8,505
26 × 7 × 19 = 8,512
26 × 33 × 5 = 8,640
28 × 5 × 7 = 8,960
24 × 34 × 7 = 9,072
This list continues below...

... This list continues from above
25 × 3 × 5 × 19 = 9,120
2 × 35 × 19 = 9,234
23 × 32 × 7 × 19 = 9,576
23 × 35 × 5 = 9,720
29 × 19 = 9,728
25 × 32 × 5 × 7 = 10,080
22 × 33 × 5 × 19 = 10,260
27 × 34 = 10,368
24 × 5 × 7 × 19 = 10,640
29 × 3 × 7 = 10,752
34 × 7 × 19 = 10,773
26 × 32 × 19 = 10,944
22 × 34 × 5 × 7 = 11,340
28 × 32 × 5 = 11,520
2 × 32 × 5 × 7 × 19 = 11,970
26 × 33 × 7 = 12,096
27 × 5 × 19 = 12,160
23 × 34 × 19 = 12,312
25 × 3 × 7 × 19 = 12,768
25 × 34 × 5 = 12,960
27 × 3 × 5 × 7 = 13,440
23 × 35 × 7 = 13,608
24 × 32 × 5 × 19 = 13,680
29 × 33 = 13,824
22 × 33 × 7 × 19 = 14,364
28 × 3 × 19 = 14,592
24 × 33 × 5 × 7 = 15,120
2 × 34 × 5 × 19 = 15,390
26 × 35 = 15,552
23 × 3 × 5 × 7 × 19 = 15,960
28 × 32 × 7 = 16,128
25 × 33 × 19 = 16,416
2 × 35 × 5 × 7 = 17,010
27 × 7 × 19 = 17,024
27 × 33 × 5 = 17,280
29 × 5 × 7 = 17,920
33 × 5 × 7 × 19 = 17,955
25 × 34 × 7 = 18,144
26 × 3 × 5 × 19 = 18,240
22 × 35 × 19 = 18,468
24 × 32 × 7 × 19 = 19,152
24 × 35 × 5 = 19,440
26 × 32 × 5 × 7 = 20,160
23 × 33 × 5 × 19 = 20,520
28 × 34 = 20,736
25 × 5 × 7 × 19 = 21,280
2 × 34 × 7 × 19 = 21,546
27 × 32 × 19 = 21,888
23 × 34 × 5 × 7 = 22,680
29 × 32 × 5 = 23,040
35 × 5 × 19 = 23,085
22 × 32 × 5 × 7 × 19 = 23,940
27 × 33 × 7 = 24,192
28 × 5 × 19 = 24,320
24 × 34 × 19 = 24,624
26 × 3 × 7 × 19 = 25,536
26 × 34 × 5 = 25,920
28 × 3 × 5 × 7 = 26,880
24 × 35 × 7 = 27,216
25 × 32 × 5 × 19 = 27,360
23 × 33 × 7 × 19 = 28,728
29 × 3 × 19 = 29,184
25 × 33 × 5 × 7 = 30,240
22 × 34 × 5 × 19 = 30,780
27 × 35 = 31,104
24 × 3 × 5 × 7 × 19 = 31,920
29 × 32 × 7 = 32,256
35 × 7 × 19 = 32,319
26 × 33 × 19 = 32,832
22 × 35 × 5 × 7 = 34,020
28 × 7 × 19 = 34,048
28 × 33 × 5 = 34,560
2 × 33 × 5 × 7 × 19 = 35,910
26 × 34 × 7 = 36,288
27 × 3 × 5 × 19 = 36,480
23 × 35 × 19 = 36,936
25 × 32 × 7 × 19 = 38,304
25 × 35 × 5 = 38,880
27 × 32 × 5 × 7 = 40,320
24 × 33 × 5 × 19 = 41,040
29 × 34 = 41,472
26 × 5 × 7 × 19 = 42,560
22 × 34 × 7 × 19 = 43,092
28 × 32 × 19 = 43,776
24 × 34 × 5 × 7 = 45,360
2 × 35 × 5 × 19 = 46,170
23 × 32 × 5 × 7 × 19 = 47,880
28 × 33 × 7 = 48,384
29 × 5 × 19 = 48,640
25 × 34 × 19 = 49,248
27 × 3 × 7 × 19 = 51,072
27 × 34 × 5 = 51,840
29 × 3 × 5 × 7 = 53,760
34 × 5 × 7 × 19 = 53,865
25 × 35 × 7 = 54,432
26 × 32 × 5 × 19 = 54,720
24 × 33 × 7 × 19 = 57,456
26 × 33 × 5 × 7 = 60,480
23 × 34 × 5 × 19 = 61,560
28 × 35 = 62,208
25 × 3 × 5 × 7 × 19 = 63,840
2 × 35 × 7 × 19 = 64,638
27 × 33 × 19 = 65,664
23 × 35 × 5 × 7 = 68,040
29 × 7 × 19 = 68,096
29 × 33 × 5 = 69,120
22 × 33 × 5 × 7 × 19 = 71,820
27 × 34 × 7 = 72,576
28 × 3 × 5 × 19 = 72,960
24 × 35 × 19 = 73,872
26 × 32 × 7 × 19 = 76,608
26 × 35 × 5 = 77,760
28 × 32 × 5 × 7 = 80,640
25 × 33 × 5 × 19 = 82,080
27 × 5 × 7 × 19 = 85,120
23 × 34 × 7 × 19 = 86,184
29 × 32 × 19 = 87,552
25 × 34 × 5 × 7 = 90,720
22 × 35 × 5 × 19 = 92,340
24 × 32 × 5 × 7 × 19 = 95,760
29 × 33 × 7 = 96,768
26 × 34 × 19 = 98,496
28 × 3 × 7 × 19 = 102,144
28 × 34 × 5 = 103,680
2 × 34 × 5 × 7 × 19 = 107,730
26 × 35 × 7 = 108,864
27 × 32 × 5 × 19 = 109,440
25 × 33 × 7 × 19 = 114,912
27 × 33 × 5 × 7 = 120,960
24 × 34 × 5 × 19 = 123,120
29 × 35 = 124,416
26 × 3 × 5 × 7 × 19 = 127,680
22 × 35 × 7 × 19 = 129,276
28 × 33 × 19 = 131,328
24 × 35 × 5 × 7 = 136,080
23 × 33 × 5 × 7 × 19 = 143,640
28 × 34 × 7 = 145,152
29 × 3 × 5 × 19 = 145,920
25 × 35 × 19 = 147,744
27 × 32 × 7 × 19 = 153,216
27 × 35 × 5 = 155,520
29 × 32 × 5 × 7 = 161,280
35 × 5 × 7 × 19 = 161,595
26 × 33 × 5 × 19 = 164,160
28 × 5 × 7 × 19 = 170,240
24 × 34 × 7 × 19 = 172,368
26 × 34 × 5 × 7 = 181,440
23 × 35 × 5 × 19 = 184,680
25 × 32 × 5 × 7 × 19 = 191,520
27 × 34 × 19 = 196,992
29 × 3 × 7 × 19 = 204,288
29 × 34 × 5 = 207,360
22 × 34 × 5 × 7 × 19 = 215,460
27 × 35 × 7 = 217,728
28 × 32 × 5 × 19 = 218,880
26 × 33 × 7 × 19 = 229,824
28 × 33 × 5 × 7 = 241,920
25 × 34 × 5 × 19 = 246,240
27 × 3 × 5 × 7 × 19 = 255,360
23 × 35 × 7 × 19 = 258,552
29 × 33 × 19 = 262,656
25 × 35 × 5 × 7 = 272,160
24 × 33 × 5 × 7 × 19 = 287,280
29 × 34 × 7 = 290,304
26 × 35 × 19 = 295,488
28 × 32 × 7 × 19 = 306,432
28 × 35 × 5 = 311,040
2 × 35 × 5 × 7 × 19 = 323,190
27 × 33 × 5 × 19 = 328,320
29 × 5 × 7 × 19 = 340,480
25 × 34 × 7 × 19 = 344,736
27 × 34 × 5 × 7 = 362,880
24 × 35 × 5 × 19 = 369,360
26 × 32 × 5 × 7 × 19 = 383,040
28 × 34 × 19 = 393,984
23 × 34 × 5 × 7 × 19 = 430,920
28 × 35 × 7 = 435,456
29 × 32 × 5 × 19 = 437,760
27 × 33 × 7 × 19 = 459,648
29 × 33 × 5 × 7 = 483,840
26 × 34 × 5 × 19 = 492,480
28 × 3 × 5 × 7 × 19 = 510,720
24 × 35 × 7 × 19 = 517,104
26 × 35 × 5 × 7 = 544,320
25 × 33 × 5 × 7 × 19 = 574,560
27 × 35 × 19 = 590,976
29 × 32 × 7 × 19 = 612,864
29 × 35 × 5 = 622,080
22 × 35 × 5 × 7 × 19 = 646,380
28 × 33 × 5 × 19 = 656,640
26 × 34 × 7 × 19 = 689,472
28 × 34 × 5 × 7 = 725,760
25 × 35 × 5 × 19 = 738,720
27 × 32 × 5 × 7 × 19 = 766,080
29 × 34 × 19 = 787,968
24 × 34 × 5 × 7 × 19 = 861,840
29 × 35 × 7 = 870,912
28 × 33 × 7 × 19 = 919,296
27 × 34 × 5 × 19 = 984,960
29 × 3 × 5 × 7 × 19 = 1,021,440
25 × 35 × 7 × 19 = 1,034,208
27 × 35 × 5 × 7 = 1,088,640
26 × 33 × 5 × 7 × 19 = 1,149,120
28 × 35 × 19 = 1,181,952
23 × 35 × 5 × 7 × 19 = 1,292,760
29 × 33 × 5 × 19 = 1,313,280
27 × 34 × 7 × 19 = 1,378,944
29 × 34 × 5 × 7 = 1,451,520
26 × 35 × 5 × 19 = 1,477,440
28 × 32 × 5 × 7 × 19 = 1,532,160
25 × 34 × 5 × 7 × 19 = 1,723,680
29 × 33 × 7 × 19 = 1,838,592
28 × 34 × 5 × 19 = 1,969,920
26 × 35 × 7 × 19 = 2,068,416
28 × 35 × 5 × 7 = 2,177,280
27 × 33 × 5 × 7 × 19 = 2,298,240
29 × 35 × 19 = 2,363,904
24 × 35 × 5 × 7 × 19 = 2,585,520
28 × 34 × 7 × 19 = 2,757,888
27 × 35 × 5 × 19 = 2,954,880
29 × 32 × 5 × 7 × 19 = 3,064,320
26 × 34 × 5 × 7 × 19 = 3,447,360
29 × 34 × 5 × 19 = 3,939,840
27 × 35 × 7 × 19 = 4,136,832
29 × 35 × 5 × 7 = 4,354,560
28 × 33 × 5 × 7 × 19 = 4,596,480
25 × 35 × 5 × 7 × 19 = 5,171,040
29 × 34 × 7 × 19 = 5,515,776
28 × 35 × 5 × 19 = 5,909,760
27 × 34 × 5 × 7 × 19 = 6,894,720
28 × 35 × 7 × 19 = 8,273,664
29 × 33 × 5 × 7 × 19 = 9,192,960
26 × 35 × 5 × 7 × 19 = 10,342,080
29 × 35 × 5 × 19 = 11,819,520
28 × 34 × 5 × 7 × 19 = 13,789,440
29 × 35 × 7 × 19 = 16,547,328
27 × 35 × 5 × 7 × 19 = 20,684,160
29 × 34 × 5 × 7 × 19 = 27,578,880
28 × 35 × 5 × 7 × 19 = 41,368,320
29 × 35 × 5 × 7 × 19 = 82,736,640

The final answer:
(scroll down)

82,736,640 has 480 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 14; 15; 16; 18; 19; 20; 21; 24; 27; 28; 30; 32; 35; 36; 38; 40; 42; 45; 48; 54; 56; 57; 60; 63; 64; 70; 72; 76; 80; 81; 84; 90; 95; 96; 105; 108; 112; 114; 120; 126; 128; 133; 135; 140; 144; 152; 160; 162; 168; 171; 180; 189; 190; 192; 210; 216; 224; 228; 240; 243; 252; 256; 266; 270; 280; 285; 288; 304; 315; 320; 324; 336; 342; 360; 378; 380; 384; 399; 405; 420; 432; 448; 456; 480; 486; 504; 512; 513; 532; 540; 560; 567; 570; 576; 608; 630; 640; 648; 665; 672; 684; 720; 756; 760; 768; 798; 810; 840; 855; 864; 896; 912; 945; 960; 972; 1,008; 1,026; 1,064; 1,080; 1,120; 1,134; 1,140; 1,152; 1,197; 1,215; 1,216; 1,260; 1,280; 1,296; 1,330; 1,344; 1,368; 1,440; 1,512; 1,520; 1,536; 1,539; 1,596; 1,620; 1,680; 1,701; 1,710; 1,728; 1,792; 1,824; 1,890; 1,920; 1,944; 1,995; 2,016; 2,052; 2,128; 2,160; 2,240; 2,268; 2,280; 2,304; 2,394; 2,430; 2,432; 2,520; 2,560; 2,565; 2,592; 2,660; 2,688; 2,736; 2,835; 2,880; 3,024; 3,040; 3,078; 3,192; 3,240; 3,360; 3,402; 3,420; 3,456; 3,584; 3,591; 3,648; 3,780; 3,840; 3,888; 3,990; 4,032; 4,104; 4,256; 4,320; 4,480; 4,536; 4,560; 4,608; 4,617; 4,788; 4,860; 4,864; 5,040; 5,130; 5,184; 5,320; 5,376; 5,472; 5,670; 5,760; 5,985; 6,048; 6,080; 6,156; 6,384; 6,480; 6,720; 6,804; 6,840; 6,912; 7,182; 7,296; 7,560; 7,680; 7,695; 7,776; 7,980; 8,064; 8,208; 8,505; 8,512; 8,640; 8,960; 9,072; 9,120; 9,234; 9,576; 9,720; 9,728; 10,080; 10,260; 10,368; 10,640; 10,752; 10,773; 10,944; 11,340; 11,520; 11,970; 12,096; 12,160; 12,312; 12,768; 12,960; 13,440; 13,608; 13,680; 13,824; 14,364; 14,592; 15,120; 15,390; 15,552; 15,960; 16,128; 16,416; 17,010; 17,024; 17,280; 17,920; 17,955; 18,144; 18,240; 18,468; 19,152; 19,440; 20,160; 20,520; 20,736; 21,280; 21,546; 21,888; 22,680; 23,040; 23,085; 23,940; 24,192; 24,320; 24,624; 25,536; 25,920; 26,880; 27,216; 27,360; 28,728; 29,184; 30,240; 30,780; 31,104; 31,920; 32,256; 32,319; 32,832; 34,020; 34,048; 34,560; 35,910; 36,288; 36,480; 36,936; 38,304; 38,880; 40,320; 41,040; 41,472; 42,560; 43,092; 43,776; 45,360; 46,170; 47,880; 48,384; 48,640; 49,248; 51,072; 51,840; 53,760; 53,865; 54,432; 54,720; 57,456; 60,480; 61,560; 62,208; 63,840; 64,638; 65,664; 68,040; 68,096; 69,120; 71,820; 72,576; 72,960; 73,872; 76,608; 77,760; 80,640; 82,080; 85,120; 86,184; 87,552; 90,720; 92,340; 95,760; 96,768; 98,496; 102,144; 103,680; 107,730; 108,864; 109,440; 114,912; 120,960; 123,120; 124,416; 127,680; 129,276; 131,328; 136,080; 143,640; 145,152; 145,920; 147,744; 153,216; 155,520; 161,280; 161,595; 164,160; 170,240; 172,368; 181,440; 184,680; 191,520; 196,992; 204,288; 207,360; 215,460; 217,728; 218,880; 229,824; 241,920; 246,240; 255,360; 258,552; 262,656; 272,160; 287,280; 290,304; 295,488; 306,432; 311,040; 323,190; 328,320; 340,480; 344,736; 362,880; 369,360; 383,040; 393,984; 430,920; 435,456; 437,760; 459,648; 483,840; 492,480; 510,720; 517,104; 544,320; 574,560; 590,976; 612,864; 622,080; 646,380; 656,640; 689,472; 725,760; 738,720; 766,080; 787,968; 861,840; 870,912; 919,296; 984,960; 1,021,440; 1,034,208; 1,088,640; 1,149,120; 1,181,952; 1,292,760; 1,313,280; 1,378,944; 1,451,520; 1,477,440; 1,532,160; 1,723,680; 1,838,592; 1,969,920; 2,068,416; 2,177,280; 2,298,240; 2,363,904; 2,585,520; 2,757,888; 2,954,880; 3,064,320; 3,447,360; 3,939,840; 4,136,832; 4,354,560; 4,596,480; 5,171,040; 5,515,776; 5,909,760; 6,894,720; 8,273,664; 9,192,960; 10,342,080; 11,819,520; 13,789,440; 16,547,328; 20,684,160; 27,578,880; 41,368,320 and 82,736,640
out of which 5 prime factors: 2; 3; 5; 7 and 19
82,736,640 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.


Then multiply the prime factors and their exponents, if any, in all their different combinations.


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".