Given the Number 30,810,780, Calculate (Find) All the Factors (All the Divisors) of the Number 30,810,780 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 30,810,780

1. Carry out the prime factorization of the number 30,810,780:

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

30,810,780 = 22 × 34 × 5 × 7 × 11 × 13 × 19
30,810,780 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* 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 30,810,780

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
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
prime factor = 13
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
prime factor = 19
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
2 × 19 = 38
3 × 13 = 39
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
3 × 19 = 57
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
22 × 19 = 76
7 × 11 = 77
2 × 3 × 13 = 78
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
5 × 19 = 95
32 × 11 = 99
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
2 × 3 × 19 = 114
32 × 13 = 117
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 3 × 11 = 132
7 × 19 = 133
33 × 5 = 135
22 × 5 × 7 = 140
11 × 13 = 143
2 × 7 × 11 = 154
22 × 3 × 13 = 156
2 × 34 = 162
3 × 5 × 11 = 165
32 × 19 = 171
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
2 × 5 × 19 = 190
3 × 5 × 13 = 195
2 × 32 × 11 = 198
11 × 19 = 209
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
22 × 3 × 19 = 228
3 × 7 × 11 = 231
2 × 32 × 13 = 234
13 × 19 = 247
22 × 32 × 7 = 252
22 × 5 × 13 = 260
2 × 7 × 19 = 266
2 × 33 × 5 = 270
3 × 7 × 13 = 273
3 × 5 × 19 = 285
2 × 11 × 13 = 286
33 × 11 = 297
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
2 × 3 × 5 × 11 = 330
2 × 32 × 19 = 342
33 × 13 = 351
22 × 7 × 13 = 364
2 × 33 × 7 = 378
22 × 5 × 19 = 380
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
3 × 7 × 19 = 399
34 × 5 = 405
2 × 11 × 19 = 418
22 × 3 × 5 × 7 = 420
3 × 11 × 13 = 429
5 × 7 × 13 = 455
2 × 3 × 7 × 11 = 462
22 × 32 × 13 = 468
2 × 13 × 19 = 494
32 × 5 × 11 = 495
33 × 19 = 513
22 × 7 × 19 = 532
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
34 × 7 = 567
2 × 3 × 5 × 19 = 570
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
3 × 11 × 19 = 627
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
5 × 7 × 19 = 665
22 × 32 × 19 = 684
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
3 × 13 × 19 = 741
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
22 × 3 × 5 × 13 = 780
2 × 3 × 7 × 19 = 798
2 × 34 × 5 = 810
32 × 7 × 13 = 819
22 × 11 × 19 = 836
32 × 5 × 19 = 855
2 × 3 × 11 × 13 = 858
34 × 11 = 891
2 × 5 × 7 × 13 = 910
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
22 × 13 × 19 = 988
2 × 32 × 5 × 11 = 990
7 × 11 × 13 = 1,001
2 × 33 × 19 = 1,026
5 × 11 × 19 = 1,045
34 × 13 = 1,053
22 × 3 × 7 × 13 = 1,092
2 × 34 × 7 = 1,134
22 × 3 × 5 × 19 = 1,140
3 × 5 × 7 × 11 = 1,155
2 × 32 × 5 × 13 = 1,170
22 × 33 × 11 = 1,188
32 × 7 × 19 = 1,197
5 × 13 × 19 = 1,235
2 × 3 × 11 × 19 = 1,254
22 × 32 × 5 × 7 = 1,260
32 × 11 × 13 = 1,287
2 × 5 × 7 × 19 = 1,330
3 × 5 × 7 × 13 = 1,365
2 × 32 × 7 × 11 = 1,386
22 × 33 × 13 = 1,404
2 × 5 × 11 × 13 = 1,430
7 × 11 × 19 = 1,463
2 × 3 × 13 × 19 = 1,482
33 × 5 × 11 = 1,485
34 × 19 = 1,539
22 × 5 × 7 × 11 = 1,540
22 × 3 × 7 × 19 = 1,596
22 × 34 × 5 = 1,620
2 × 32 × 7 × 13 = 1,638
2 × 32 × 5 × 19 = 1,710
22 × 3 × 11 × 13 = 1,716
7 × 13 × 19 = 1,729
33 × 5 × 13 = 1,755
2 × 34 × 11 = 1,782
22 × 5 × 7 × 13 = 1,820
32 × 11 × 19 = 1,881
2 × 33 × 5 × 7 = 1,890
22 × 32 × 5 × 11 = 1,980
3 × 5 × 7 × 19 = 1,995
2 × 7 × 11 × 13 = 2,002
22 × 33 × 19 = 2,052
33 × 7 × 11 = 2,079
2 × 5 × 11 × 19 = 2,090
2 × 34 × 13 = 2,106
3 × 5 × 11 × 13 = 2,145
32 × 13 × 19 = 2,223
22 × 34 × 7 = 2,268
2 × 3 × 5 × 7 × 11 = 2,310
22 × 32 × 5 × 13 = 2,340
2 × 32 × 7 × 19 = 2,394
33 × 7 × 13 = 2,457
2 × 5 × 13 × 19 = 2,470
22 × 3 × 11 × 19 = 2,508
33 × 5 × 19 = 2,565
2 × 32 × 11 × 13 = 2,574
22 × 5 × 7 × 19 = 2,660
11 × 13 × 19 = 2,717
2 × 3 × 5 × 7 × 13 = 2,730
22 × 32 × 7 × 11 = 2,772
34 × 5 × 7 = 2,835
22 × 5 × 11 × 13 = 2,860
2 × 7 × 11 × 19 = 2,926
22 × 3 × 13 × 19 = 2,964
2 × 33 × 5 × 11 = 2,970
3 × 7 × 11 × 13 = 3,003
2 × 34 × 19 = 3,078
3 × 5 × 11 × 19 = 3,135
22 × 32 × 7 × 13 = 3,276
22 × 32 × 5 × 19 = 3,420
2 × 7 × 13 × 19 = 3,458
32 × 5 × 7 × 11 = 3,465
2 × 33 × 5 × 13 = 3,510
22 × 34 × 11 = 3,564
33 × 7 × 19 = 3,591
3 × 5 × 13 × 19 = 3,705
2 × 32 × 11 × 19 = 3,762
22 × 33 × 5 × 7 = 3,780
33 × 11 × 13 = 3,861
2 × 3 × 5 × 7 × 19 = 3,990
22 × 7 × 11 × 13 = 4,004
32 × 5 × 7 × 13 = 4,095
2 × 33 × 7 × 11 = 4,158
22 × 5 × 11 × 19 = 4,180
22 × 34 × 13 = 4,212
2 × 3 × 5 × 11 × 13 = 4,290
3 × 7 × 11 × 19 = 4,389
2 × 32 × 13 × 19 = 4,446
34 × 5 × 11 = 4,455
22 × 3 × 5 × 7 × 11 = 4,620
22 × 32 × 7 × 19 = 4,788
2 × 33 × 7 × 13 = 4,914
22 × 5 × 13 × 19 = 4,940
5 × 7 × 11 × 13 = 5,005
2 × 33 × 5 × 19 = 5,130
22 × 32 × 11 × 13 = 5,148
3 × 7 × 13 × 19 = 5,187
34 × 5 × 13 = 5,265
2 × 11 × 13 × 19 = 5,434
22 × 3 × 5 × 7 × 13 = 5,460
This list continues below...

... This list continues from above
33 × 11 × 19 = 5,643
2 × 34 × 5 × 7 = 5,670
22 × 7 × 11 × 19 = 5,852
22 × 33 × 5 × 11 = 5,940
32 × 5 × 7 × 19 = 5,985
2 × 3 × 7 × 11 × 13 = 6,006
22 × 34 × 19 = 6,156
34 × 7 × 11 = 6,237
2 × 3 × 5 × 11 × 19 = 6,270
32 × 5 × 11 × 13 = 6,435
33 × 13 × 19 = 6,669
22 × 7 × 13 × 19 = 6,916
2 × 32 × 5 × 7 × 11 = 6,930
22 × 33 × 5 × 13 = 7,020
2 × 33 × 7 × 19 = 7,182
5 × 7 × 11 × 19 = 7,315
34 × 7 × 13 = 7,371
2 × 3 × 5 × 13 × 19 = 7,410
22 × 32 × 11 × 19 = 7,524
34 × 5 × 19 = 7,695
2 × 33 × 11 × 13 = 7,722
22 × 3 × 5 × 7 × 19 = 7,980
3 × 11 × 13 × 19 = 8,151
2 × 32 × 5 × 7 × 13 = 8,190
22 × 33 × 7 × 11 = 8,316
22 × 3 × 5 × 11 × 13 = 8,580
5 × 7 × 13 × 19 = 8,645
2 × 3 × 7 × 11 × 19 = 8,778
22 × 32 × 13 × 19 = 8,892
2 × 34 × 5 × 11 = 8,910
32 × 7 × 11 × 13 = 9,009
32 × 5 × 11 × 19 = 9,405
22 × 33 × 7 × 13 = 9,828
2 × 5 × 7 × 11 × 13 = 10,010
22 × 33 × 5 × 19 = 10,260
2 × 3 × 7 × 13 × 19 = 10,374
33 × 5 × 7 × 11 = 10,395
2 × 34 × 5 × 13 = 10,530
34 × 7 × 19 = 10,773
22 × 11 × 13 × 19 = 10,868
32 × 5 × 13 × 19 = 11,115
2 × 33 × 11 × 19 = 11,286
22 × 34 × 5 × 7 = 11,340
34 × 11 × 13 = 11,583
2 × 32 × 5 × 7 × 19 = 11,970
22 × 3 × 7 × 11 × 13 = 12,012
33 × 5 × 7 × 13 = 12,285
2 × 34 × 7 × 11 = 12,474
22 × 3 × 5 × 11 × 19 = 12,540
2 × 32 × 5 × 11 × 13 = 12,870
32 × 7 × 11 × 19 = 13,167
2 × 33 × 13 × 19 = 13,338
5 × 11 × 13 × 19 = 13,585
22 × 32 × 5 × 7 × 11 = 13,860
22 × 33 × 7 × 19 = 14,364
2 × 5 × 7 × 11 × 19 = 14,630
2 × 34 × 7 × 13 = 14,742
22 × 3 × 5 × 13 × 19 = 14,820
3 × 5 × 7 × 11 × 13 = 15,015
2 × 34 × 5 × 19 = 15,390
22 × 33 × 11 × 13 = 15,444
32 × 7 × 13 × 19 = 15,561
2 × 3 × 11 × 13 × 19 = 16,302
22 × 32 × 5 × 7 × 13 = 16,380
34 × 11 × 19 = 16,929
2 × 5 × 7 × 13 × 19 = 17,290
22 × 3 × 7 × 11 × 19 = 17,556
22 × 34 × 5 × 11 = 17,820
33 × 5 × 7 × 19 = 17,955
2 × 32 × 7 × 11 × 13 = 18,018
2 × 32 × 5 × 11 × 19 = 18,810
7 × 11 × 13 × 19 = 19,019
33 × 5 × 11 × 13 = 19,305
34 × 13 × 19 = 20,007
22 × 5 × 7 × 11 × 13 = 20,020
22 × 3 × 7 × 13 × 19 = 20,748
2 × 33 × 5 × 7 × 11 = 20,790
22 × 34 × 5 × 13 = 21,060
2 × 34 × 7 × 19 = 21,546
3 × 5 × 7 × 11 × 19 = 21,945
2 × 32 × 5 × 13 × 19 = 22,230
22 × 33 × 11 × 19 = 22,572
2 × 34 × 11 × 13 = 23,166
22 × 32 × 5 × 7 × 19 = 23,940
32 × 11 × 13 × 19 = 24,453
2 × 33 × 5 × 7 × 13 = 24,570
22 × 34 × 7 × 11 = 24,948
22 × 32 × 5 × 11 × 13 = 25,740
3 × 5 × 7 × 13 × 19 = 25,935
2 × 32 × 7 × 11 × 19 = 26,334
22 × 33 × 13 × 19 = 26,676
33 × 7 × 11 × 13 = 27,027
2 × 5 × 11 × 13 × 19 = 27,170
33 × 5 × 11 × 19 = 28,215
22 × 5 × 7 × 11 × 19 = 29,260
22 × 34 × 7 × 13 = 29,484
2 × 3 × 5 × 7 × 11 × 13 = 30,030
22 × 34 × 5 × 19 = 30,780
2 × 32 × 7 × 13 × 19 = 31,122
34 × 5 × 7 × 11 = 31,185
22 × 3 × 11 × 13 × 19 = 32,604
33 × 5 × 13 × 19 = 33,345
2 × 34 × 11 × 19 = 33,858
22 × 5 × 7 × 13 × 19 = 34,580
2 × 33 × 5 × 7 × 19 = 35,910
22 × 32 × 7 × 11 × 13 = 36,036
34 × 5 × 7 × 13 = 36,855
22 × 32 × 5 × 11 × 19 = 37,620
2 × 7 × 11 × 13 × 19 = 38,038
2 × 33 × 5 × 11 × 13 = 38,610
33 × 7 × 11 × 19 = 39,501
2 × 34 × 13 × 19 = 40,014
3 × 5 × 11 × 13 × 19 = 40,755
22 × 33 × 5 × 7 × 11 = 41,580
22 × 34 × 7 × 19 = 43,092
2 × 3 × 5 × 7 × 11 × 19 = 43,890
22 × 32 × 5 × 13 × 19 = 44,460
32 × 5 × 7 × 11 × 13 = 45,045
22 × 34 × 11 × 13 = 46,332
33 × 7 × 13 × 19 = 46,683
2 × 32 × 11 × 13 × 19 = 48,906
22 × 33 × 5 × 7 × 13 = 49,140
2 × 3 × 5 × 7 × 13 × 19 = 51,870
22 × 32 × 7 × 11 × 19 = 52,668
34 × 5 × 7 × 19 = 53,865
2 × 33 × 7 × 11 × 13 = 54,054
22 × 5 × 11 × 13 × 19 = 54,340
2 × 33 × 5 × 11 × 19 = 56,430
3 × 7 × 11 × 13 × 19 = 57,057
34 × 5 × 11 × 13 = 57,915
22 × 3 × 5 × 7 × 11 × 13 = 60,060
22 × 32 × 7 × 13 × 19 = 62,244
2 × 34 × 5 × 7 × 11 = 62,370
32 × 5 × 7 × 11 × 19 = 65,835
2 × 33 × 5 × 13 × 19 = 66,690
22 × 34 × 11 × 19 = 67,716
22 × 33 × 5 × 7 × 19 = 71,820
33 × 11 × 13 × 19 = 73,359
2 × 34 × 5 × 7 × 13 = 73,710
22 × 7 × 11 × 13 × 19 = 76,076
22 × 33 × 5 × 11 × 13 = 77,220
32 × 5 × 7 × 13 × 19 = 77,805
2 × 33 × 7 × 11 × 19 = 79,002
22 × 34 × 13 × 19 = 80,028
34 × 7 × 11 × 13 = 81,081
2 × 3 × 5 × 11 × 13 × 19 = 81,510
34 × 5 × 11 × 19 = 84,645
22 × 3 × 5 × 7 × 11 × 19 = 87,780
2 × 32 × 5 × 7 × 11 × 13 = 90,090
2 × 33 × 7 × 13 × 19 = 93,366
5 × 7 × 11 × 13 × 19 = 95,095
22 × 32 × 11 × 13 × 19 = 97,812
34 × 5 × 13 × 19 = 100,035
22 × 3 × 5 × 7 × 13 × 19 = 103,740
2 × 34 × 5 × 7 × 19 = 107,730
22 × 33 × 7 × 11 × 13 = 108,108
22 × 33 × 5 × 11 × 19 = 112,860
2 × 3 × 7 × 11 × 13 × 19 = 114,114
2 × 34 × 5 × 11 × 13 = 115,830
34 × 7 × 11 × 19 = 118,503
32 × 5 × 11 × 13 × 19 = 122,265
22 × 34 × 5 × 7 × 11 = 124,740
2 × 32 × 5 × 7 × 11 × 19 = 131,670
22 × 33 × 5 × 13 × 19 = 133,380
33 × 5 × 7 × 11 × 13 = 135,135
34 × 7 × 13 × 19 = 140,049
2 × 33 × 11 × 13 × 19 = 146,718
22 × 34 × 5 × 7 × 13 = 147,420
2 × 32 × 5 × 7 × 13 × 19 = 155,610
22 × 33 × 7 × 11 × 19 = 158,004
2 × 34 × 7 × 11 × 13 = 162,162
22 × 3 × 5 × 11 × 13 × 19 = 163,020
2 × 34 × 5 × 11 × 19 = 169,290
32 × 7 × 11 × 13 × 19 = 171,171
22 × 32 × 5 × 7 × 11 × 13 = 180,180
22 × 33 × 7 × 13 × 19 = 186,732
2 × 5 × 7 × 11 × 13 × 19 = 190,190
33 × 5 × 7 × 11 × 19 = 197,505
2 × 34 × 5 × 13 × 19 = 200,070
22 × 34 × 5 × 7 × 19 = 215,460
34 × 11 × 13 × 19 = 220,077
22 × 3 × 7 × 11 × 13 × 19 = 228,228
22 × 34 × 5 × 11 × 13 = 231,660
33 × 5 × 7 × 13 × 19 = 233,415
2 × 34 × 7 × 11 × 19 = 237,006
2 × 32 × 5 × 11 × 13 × 19 = 244,530
22 × 32 × 5 × 7 × 11 × 19 = 263,340
2 × 33 × 5 × 7 × 11 × 13 = 270,270
2 × 34 × 7 × 13 × 19 = 280,098
3 × 5 × 7 × 11 × 13 × 19 = 285,285
22 × 33 × 11 × 13 × 19 = 293,436
22 × 32 × 5 × 7 × 13 × 19 = 311,220
22 × 34 × 7 × 11 × 13 = 324,324
22 × 34 × 5 × 11 × 19 = 338,580
2 × 32 × 7 × 11 × 13 × 19 = 342,342
33 × 5 × 11 × 13 × 19 = 366,795
22 × 5 × 7 × 11 × 13 × 19 = 380,380
2 × 33 × 5 × 7 × 11 × 19 = 395,010
22 × 34 × 5 × 13 × 19 = 400,140
34 × 5 × 7 × 11 × 13 = 405,405
2 × 34 × 11 × 13 × 19 = 440,154
2 × 33 × 5 × 7 × 13 × 19 = 466,830
22 × 34 × 7 × 11 × 19 = 474,012
22 × 32 × 5 × 11 × 13 × 19 = 489,060
33 × 7 × 11 × 13 × 19 = 513,513
22 × 33 × 5 × 7 × 11 × 13 = 540,540
22 × 34 × 7 × 13 × 19 = 560,196
2 × 3 × 5 × 7 × 11 × 13 × 19 = 570,570
34 × 5 × 7 × 11 × 19 = 592,515
22 × 32 × 7 × 11 × 13 × 19 = 684,684
34 × 5 × 7 × 13 × 19 = 700,245
2 × 33 × 5 × 11 × 13 × 19 = 733,590
22 × 33 × 5 × 7 × 11 × 19 = 790,020
2 × 34 × 5 × 7 × 11 × 13 = 810,810
32 × 5 × 7 × 11 × 13 × 19 = 855,855
22 × 34 × 11 × 13 × 19 = 880,308
22 × 33 × 5 × 7 × 13 × 19 = 933,660
2 × 33 × 7 × 11 × 13 × 19 = 1,027,026
34 × 5 × 11 × 13 × 19 = 1,100,385
22 × 3 × 5 × 7 × 11 × 13 × 19 = 1,141,140
2 × 34 × 5 × 7 × 11 × 19 = 1,185,030
2 × 34 × 5 × 7 × 13 × 19 = 1,400,490
22 × 33 × 5 × 11 × 13 × 19 = 1,467,180
34 × 7 × 11 × 13 × 19 = 1,540,539
22 × 34 × 5 × 7 × 11 × 13 = 1,621,620
2 × 32 × 5 × 7 × 11 × 13 × 19 = 1,711,710
22 × 33 × 7 × 11 × 13 × 19 = 2,054,052
2 × 34 × 5 × 11 × 13 × 19 = 2,200,770
22 × 34 × 5 × 7 × 11 × 19 = 2,370,060
33 × 5 × 7 × 11 × 13 × 19 = 2,567,565
22 × 34 × 5 × 7 × 13 × 19 = 2,800,980
2 × 34 × 7 × 11 × 13 × 19 = 3,081,078
22 × 32 × 5 × 7 × 11 × 13 × 19 = 3,423,420
22 × 34 × 5 × 11 × 13 × 19 = 4,401,540
2 × 33 × 5 × 7 × 11 × 13 × 19 = 5,135,130
22 × 34 × 7 × 11 × 13 × 19 = 6,162,156
34 × 5 × 7 × 11 × 13 × 19 = 7,702,695
22 × 33 × 5 × 7 × 11 × 13 × 19 = 10,270,260
2 × 34 × 5 × 7 × 11 × 13 × 19 = 15,405,390
22 × 34 × 5 × 7 × 11 × 13 × 19 = 30,810,780

The final answer:
(scroll down)

30,810,780 has 480 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 9; 10; 11; 12; 13; 14; 15; 18; 19; 20; 21; 22; 26; 27; 28; 30; 33; 35; 36; 38; 39; 42; 44; 45; 52; 54; 55; 57; 60; 63; 65; 66; 70; 76; 77; 78; 81; 84; 90; 91; 95; 99; 105; 108; 110; 114; 117; 126; 130; 132; 133; 135; 140; 143; 154; 156; 162; 165; 171; 180; 182; 189; 190; 195; 198; 209; 210; 220; 228; 231; 234; 247; 252; 260; 266; 270; 273; 285; 286; 297; 308; 315; 324; 330; 342; 351; 364; 378; 380; 385; 390; 396; 399; 405; 418; 420; 429; 455; 462; 468; 494; 495; 513; 532; 540; 546; 567; 570; 572; 585; 594; 627; 630; 660; 665; 684; 693; 702; 715; 741; 756; 770; 780; 798; 810; 819; 836; 855; 858; 891; 910; 924; 945; 988; 990; 1,001; 1,026; 1,045; 1,053; 1,092; 1,134; 1,140; 1,155; 1,170; 1,188; 1,197; 1,235; 1,254; 1,260; 1,287; 1,330; 1,365; 1,386; 1,404; 1,430; 1,463; 1,482; 1,485; 1,539; 1,540; 1,596; 1,620; 1,638; 1,710; 1,716; 1,729; 1,755; 1,782; 1,820; 1,881; 1,890; 1,980; 1,995; 2,002; 2,052; 2,079; 2,090; 2,106; 2,145; 2,223; 2,268; 2,310; 2,340; 2,394; 2,457; 2,470; 2,508; 2,565; 2,574; 2,660; 2,717; 2,730; 2,772; 2,835; 2,860; 2,926; 2,964; 2,970; 3,003; 3,078; 3,135; 3,276; 3,420; 3,458; 3,465; 3,510; 3,564; 3,591; 3,705; 3,762; 3,780; 3,861; 3,990; 4,004; 4,095; 4,158; 4,180; 4,212; 4,290; 4,389; 4,446; 4,455; 4,620; 4,788; 4,914; 4,940; 5,005; 5,130; 5,148; 5,187; 5,265; 5,434; 5,460; 5,643; 5,670; 5,852; 5,940; 5,985; 6,006; 6,156; 6,237; 6,270; 6,435; 6,669; 6,916; 6,930; 7,020; 7,182; 7,315; 7,371; 7,410; 7,524; 7,695; 7,722; 7,980; 8,151; 8,190; 8,316; 8,580; 8,645; 8,778; 8,892; 8,910; 9,009; 9,405; 9,828; 10,010; 10,260; 10,374; 10,395; 10,530; 10,773; 10,868; 11,115; 11,286; 11,340; 11,583; 11,970; 12,012; 12,285; 12,474; 12,540; 12,870; 13,167; 13,338; 13,585; 13,860; 14,364; 14,630; 14,742; 14,820; 15,015; 15,390; 15,444; 15,561; 16,302; 16,380; 16,929; 17,290; 17,556; 17,820; 17,955; 18,018; 18,810; 19,019; 19,305; 20,007; 20,020; 20,748; 20,790; 21,060; 21,546; 21,945; 22,230; 22,572; 23,166; 23,940; 24,453; 24,570; 24,948; 25,740; 25,935; 26,334; 26,676; 27,027; 27,170; 28,215; 29,260; 29,484; 30,030; 30,780; 31,122; 31,185; 32,604; 33,345; 33,858; 34,580; 35,910; 36,036; 36,855; 37,620; 38,038; 38,610; 39,501; 40,014; 40,755; 41,580; 43,092; 43,890; 44,460; 45,045; 46,332; 46,683; 48,906; 49,140; 51,870; 52,668; 53,865; 54,054; 54,340; 56,430; 57,057; 57,915; 60,060; 62,244; 62,370; 65,835; 66,690; 67,716; 71,820; 73,359; 73,710; 76,076; 77,220; 77,805; 79,002; 80,028; 81,081; 81,510; 84,645; 87,780; 90,090; 93,366; 95,095; 97,812; 100,035; 103,740; 107,730; 108,108; 112,860; 114,114; 115,830; 118,503; 122,265; 124,740; 131,670; 133,380; 135,135; 140,049; 146,718; 147,420; 155,610; 158,004; 162,162; 163,020; 169,290; 171,171; 180,180; 186,732; 190,190; 197,505; 200,070; 215,460; 220,077; 228,228; 231,660; 233,415; 237,006; 244,530; 263,340; 270,270; 280,098; 285,285; 293,436; 311,220; 324,324; 338,580; 342,342; 366,795; 380,380; 395,010; 400,140; 405,405; 440,154; 466,830; 474,012; 489,060; 513,513; 540,540; 560,196; 570,570; 592,515; 684,684; 700,245; 733,590; 790,020; 810,810; 855,855; 880,308; 933,660; 1,027,026; 1,100,385; 1,141,140; 1,185,030; 1,400,490; 1,467,180; 1,540,539; 1,621,620; 1,711,710; 2,054,052; 2,200,770; 2,370,060; 2,567,565; 2,800,980; 3,081,078; 3,423,420; 4,401,540; 5,135,130; 6,162,156; 7,702,695; 10,270,260; 15,405,390 and 30,810,780
out of which 7 prime factors: 2; 3; 5; 7; 11; 13 and 19
30,810,780 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.


Other similar operations of calculating factors (divisors):

» What are all the proper, improper and prime factors (divisors) of the number 30,810,771?

» What are all the proper, improper and prime factors (divisors) of the number 30,810,784?


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

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The list of all the calculated factors (divisors) of one or 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".