Given the Number 25,316,928, Calculate (Find) All the Factors (All the Divisors) of the Number 25,316,928 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 25,316,928

1. Carry out the prime factorization of the number 25,316,928:

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

25,316,928 = 26 × 33 × 72 × 13 × 23
25,316,928 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 25,316,928

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
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
22 × 3 = 12
prime factor = 13
2 × 7 = 14
24 = 16
2 × 32 = 18
3 × 7 = 21
prime factor = 23
23 × 3 = 24
2 × 13 = 26
33 = 27
22 × 7 = 28
25 = 32
22 × 32 = 36
3 × 13 = 39
2 × 3 × 7 = 42
2 × 23 = 46
24 × 3 = 48
72 = 49
22 × 13 = 52
2 × 33 = 54
23 × 7 = 56
32 × 7 = 63
26 = 64
3 × 23 = 69
23 × 32 = 72
2 × 3 × 13 = 78
22 × 3 × 7 = 84
7 × 13 = 91
22 × 23 = 92
25 × 3 = 96
2 × 72 = 98
23 × 13 = 104
22 × 33 = 108
24 × 7 = 112
32 × 13 = 117
2 × 32 × 7 = 126
2 × 3 × 23 = 138
24 × 32 = 144
3 × 72 = 147
22 × 3 × 13 = 156
7 × 23 = 161
23 × 3 × 7 = 168
2 × 7 × 13 = 182
23 × 23 = 184
33 × 7 = 189
26 × 3 = 192
22 × 72 = 196
32 × 23 = 207
24 × 13 = 208
23 × 33 = 216
25 × 7 = 224
2 × 32 × 13 = 234
22 × 32 × 7 = 252
3 × 7 × 13 = 273
22 × 3 × 23 = 276
25 × 32 = 288
2 × 3 × 72 = 294
13 × 23 = 299
23 × 3 × 13 = 312
2 × 7 × 23 = 322
24 × 3 × 7 = 336
33 × 13 = 351
22 × 7 × 13 = 364
24 × 23 = 368
2 × 33 × 7 = 378
23 × 72 = 392
2 × 32 × 23 = 414
25 × 13 = 416
24 × 33 = 432
32 × 72 = 441
26 × 7 = 448
22 × 32 × 13 = 468
3 × 7 × 23 = 483
23 × 32 × 7 = 504
2 × 3 × 7 × 13 = 546
23 × 3 × 23 = 552
26 × 32 = 576
22 × 3 × 72 = 588
2 × 13 × 23 = 598
33 × 23 = 621
24 × 3 × 13 = 624
72 × 13 = 637
22 × 7 × 23 = 644
25 × 3 × 7 = 672
2 × 33 × 13 = 702
23 × 7 × 13 = 728
25 × 23 = 736
22 × 33 × 7 = 756
24 × 72 = 784
32 × 7 × 13 = 819
22 × 32 × 23 = 828
26 × 13 = 832
25 × 33 = 864
2 × 32 × 72 = 882
3 × 13 × 23 = 897
23 × 32 × 13 = 936
2 × 3 × 7 × 23 = 966
24 × 32 × 7 = 1,008
22 × 3 × 7 × 13 = 1,092
24 × 3 × 23 = 1,104
72 × 23 = 1,127
23 × 3 × 72 = 1,176
22 × 13 × 23 = 1,196
2 × 33 × 23 = 1,242
25 × 3 × 13 = 1,248
2 × 72 × 13 = 1,274
23 × 7 × 23 = 1,288
33 × 72 = 1,323
26 × 3 × 7 = 1,344
22 × 33 × 13 = 1,404
32 × 7 × 23 = 1,449
24 × 7 × 13 = 1,456
26 × 23 = 1,472
23 × 33 × 7 = 1,512
25 × 72 = 1,568
2 × 32 × 7 × 13 = 1,638
23 × 32 × 23 = 1,656
26 × 33 = 1,728
22 × 32 × 72 = 1,764
2 × 3 × 13 × 23 = 1,794
24 × 32 × 13 = 1,872
3 × 72 × 13 = 1,911
22 × 3 × 7 × 23 = 1,932
25 × 32 × 7 = 2,016
7 × 13 × 23 = 2,093
23 × 3 × 7 × 13 = 2,184
25 × 3 × 23 = 2,208
2 × 72 × 23 = 2,254
24 × 3 × 72 = 2,352
23 × 13 × 23 = 2,392
33 × 7 × 13 = 2,457
22 × 33 × 23 = 2,484
26 × 3 × 13 = 2,496
22 × 72 × 13 = 2,548
24 × 7 × 23 = 2,576
2 × 33 × 72 = 2,646
32 × 13 × 23 = 2,691
23 × 33 × 13 = 2,808
2 × 32 × 7 × 23 = 2,898
25 × 7 × 13 = 2,912
24 × 33 × 7 = 3,024
26 × 72 = 3,136
22 × 32 × 7 × 13 = 3,276
24 × 32 × 23 = 3,312
3 × 72 × 23 = 3,381
23 × 32 × 72 = 3,528
22 × 3 × 13 × 23 = 3,588
25 × 32 × 13 = 3,744
2 × 3 × 72 × 13 = 3,822
23 × 3 × 7 × 23 = 3,864
26 × 32 × 7 = 4,032
2 × 7 × 13 × 23 = 4,186
33 × 7 × 23 = 4,347
24 × 3 × 7 × 13 = 4,368
26 × 3 × 23 = 4,416
22 × 72 × 23 = 4,508
25 × 3 × 72 = 4,704
24 × 13 × 23 = 4,784
2 × 33 × 7 × 13 = 4,914
23 × 33 × 23 = 4,968
This list continues below...

... This list continues from above
23 × 72 × 13 = 5,096
25 × 7 × 23 = 5,152
22 × 33 × 72 = 5,292
2 × 32 × 13 × 23 = 5,382
24 × 33 × 13 = 5,616
32 × 72 × 13 = 5,733
22 × 32 × 7 × 23 = 5,796
26 × 7 × 13 = 5,824
25 × 33 × 7 = 6,048
3 × 7 × 13 × 23 = 6,279
23 × 32 × 7 × 13 = 6,552
25 × 32 × 23 = 6,624
2 × 3 × 72 × 23 = 6,762
24 × 32 × 72 = 7,056
23 × 3 × 13 × 23 = 7,176
26 × 32 × 13 = 7,488
22 × 3 × 72 × 13 = 7,644
24 × 3 × 7 × 23 = 7,728
33 × 13 × 23 = 8,073
22 × 7 × 13 × 23 = 8,372
2 × 33 × 7 × 23 = 8,694
25 × 3 × 7 × 13 = 8,736
23 × 72 × 23 = 9,016
26 × 3 × 72 = 9,408
25 × 13 × 23 = 9,568
22 × 33 × 7 × 13 = 9,828
24 × 33 × 23 = 9,936
32 × 72 × 23 = 10,143
24 × 72 × 13 = 10,192
26 × 7 × 23 = 10,304
23 × 33 × 72 = 10,584
22 × 32 × 13 × 23 = 10,764
25 × 33 × 13 = 11,232
2 × 32 × 72 × 13 = 11,466
23 × 32 × 7 × 23 = 11,592
26 × 33 × 7 = 12,096
2 × 3 × 7 × 13 × 23 = 12,558
24 × 32 × 7 × 13 = 13,104
26 × 32 × 23 = 13,248
22 × 3 × 72 × 23 = 13,524
25 × 32 × 72 = 14,112
24 × 3 × 13 × 23 = 14,352
72 × 13 × 23 = 14,651
23 × 3 × 72 × 13 = 15,288
25 × 3 × 7 × 23 = 15,456
2 × 33 × 13 × 23 = 16,146
23 × 7 × 13 × 23 = 16,744
33 × 72 × 13 = 17,199
22 × 33 × 7 × 23 = 17,388
26 × 3 × 7 × 13 = 17,472
24 × 72 × 23 = 18,032
32 × 7 × 13 × 23 = 18,837
26 × 13 × 23 = 19,136
23 × 33 × 7 × 13 = 19,656
25 × 33 × 23 = 19,872
2 × 32 × 72 × 23 = 20,286
25 × 72 × 13 = 20,384
24 × 33 × 72 = 21,168
23 × 32 × 13 × 23 = 21,528
26 × 33 × 13 = 22,464
22 × 32 × 72 × 13 = 22,932
24 × 32 × 7 × 23 = 23,184
22 × 3 × 7 × 13 × 23 = 25,116
25 × 32 × 7 × 13 = 26,208
23 × 3 × 72 × 23 = 27,048
26 × 32 × 72 = 28,224
25 × 3 × 13 × 23 = 28,704
2 × 72 × 13 × 23 = 29,302
33 × 72 × 23 = 30,429
24 × 3 × 72 × 13 = 30,576
26 × 3 × 7 × 23 = 30,912
22 × 33 × 13 × 23 = 32,292
24 × 7 × 13 × 23 = 33,488
2 × 33 × 72 × 13 = 34,398
23 × 33 × 7 × 23 = 34,776
25 × 72 × 23 = 36,064
2 × 32 × 7 × 13 × 23 = 37,674
24 × 33 × 7 × 13 = 39,312
26 × 33 × 23 = 39,744
22 × 32 × 72 × 23 = 40,572
26 × 72 × 13 = 40,768
25 × 33 × 72 = 42,336
24 × 32 × 13 × 23 = 43,056
3 × 72 × 13 × 23 = 43,953
23 × 32 × 72 × 13 = 45,864
25 × 32 × 7 × 23 = 46,368
23 × 3 × 7 × 13 × 23 = 50,232
26 × 32 × 7 × 13 = 52,416
24 × 3 × 72 × 23 = 54,096
33 × 7 × 13 × 23 = 56,511
26 × 3 × 13 × 23 = 57,408
22 × 72 × 13 × 23 = 58,604
2 × 33 × 72 × 23 = 60,858
25 × 3 × 72 × 13 = 61,152
23 × 33 × 13 × 23 = 64,584
25 × 7 × 13 × 23 = 66,976
22 × 33 × 72 × 13 = 68,796
24 × 33 × 7 × 23 = 69,552
26 × 72 × 23 = 72,128
22 × 32 × 7 × 13 × 23 = 75,348
25 × 33 × 7 × 13 = 78,624
23 × 32 × 72 × 23 = 81,144
26 × 33 × 72 = 84,672
25 × 32 × 13 × 23 = 86,112
2 × 3 × 72 × 13 × 23 = 87,906
24 × 32 × 72 × 13 = 91,728
26 × 32 × 7 × 23 = 92,736
24 × 3 × 7 × 13 × 23 = 100,464
25 × 3 × 72 × 23 = 108,192
2 × 33 × 7 × 13 × 23 = 113,022
23 × 72 × 13 × 23 = 117,208
22 × 33 × 72 × 23 = 121,716
26 × 3 × 72 × 13 = 122,304
24 × 33 × 13 × 23 = 129,168
32 × 72 × 13 × 23 = 131,859
26 × 7 × 13 × 23 = 133,952
23 × 33 × 72 × 13 = 137,592
25 × 33 × 7 × 23 = 139,104
23 × 32 × 7 × 13 × 23 = 150,696
26 × 33 × 7 × 13 = 157,248
24 × 32 × 72 × 23 = 162,288
26 × 32 × 13 × 23 = 172,224
22 × 3 × 72 × 13 × 23 = 175,812
25 × 32 × 72 × 13 = 183,456
25 × 3 × 7 × 13 × 23 = 200,928
26 × 3 × 72 × 23 = 216,384
22 × 33 × 7 × 13 × 23 = 226,044
24 × 72 × 13 × 23 = 234,416
23 × 33 × 72 × 23 = 243,432
25 × 33 × 13 × 23 = 258,336
2 × 32 × 72 × 13 × 23 = 263,718
24 × 33 × 72 × 13 = 275,184
26 × 33 × 7 × 23 = 278,208
24 × 32 × 7 × 13 × 23 = 301,392
25 × 32 × 72 × 23 = 324,576
23 × 3 × 72 × 13 × 23 = 351,624
26 × 32 × 72 × 13 = 366,912
33 × 72 × 13 × 23 = 395,577
26 × 3 × 7 × 13 × 23 = 401,856
23 × 33 × 7 × 13 × 23 = 452,088
25 × 72 × 13 × 23 = 468,832
24 × 33 × 72 × 23 = 486,864
26 × 33 × 13 × 23 = 516,672
22 × 32 × 72 × 13 × 23 = 527,436
25 × 33 × 72 × 13 = 550,368
25 × 32 × 7 × 13 × 23 = 602,784
26 × 32 × 72 × 23 = 649,152
24 × 3 × 72 × 13 × 23 = 703,248
2 × 33 × 72 × 13 × 23 = 791,154
24 × 33 × 7 × 13 × 23 = 904,176
26 × 72 × 13 × 23 = 937,664
25 × 33 × 72 × 23 = 973,728
23 × 32 × 72 × 13 × 23 = 1,054,872
26 × 33 × 72 × 13 = 1,100,736
26 × 32 × 7 × 13 × 23 = 1,205,568
25 × 3 × 72 × 13 × 23 = 1,406,496
22 × 33 × 72 × 13 × 23 = 1,582,308
25 × 33 × 7 × 13 × 23 = 1,808,352
26 × 33 × 72 × 23 = 1,947,456
24 × 32 × 72 × 13 × 23 = 2,109,744
26 × 3 × 72 × 13 × 23 = 2,812,992
23 × 33 × 72 × 13 × 23 = 3,164,616
26 × 33 × 7 × 13 × 23 = 3,616,704
25 × 32 × 72 × 13 × 23 = 4,219,488
24 × 33 × 72 × 13 × 23 = 6,329,232
26 × 32 × 72 × 13 × 23 = 8,438,976
25 × 33 × 72 × 13 × 23 = 12,658,464
26 × 33 × 72 × 13 × 23 = 25,316,928

The final answer:
(scroll down)

25,316,928 has 336 factors (divisors):
1; 2; 3; 4; 6; 7; 8; 9; 12; 13; 14; 16; 18; 21; 23; 24; 26; 27; 28; 32; 36; 39; 42; 46; 48; 49; 52; 54; 56; 63; 64; 69; 72; 78; 84; 91; 92; 96; 98; 104; 108; 112; 117; 126; 138; 144; 147; 156; 161; 168; 182; 184; 189; 192; 196; 207; 208; 216; 224; 234; 252; 273; 276; 288; 294; 299; 312; 322; 336; 351; 364; 368; 378; 392; 414; 416; 432; 441; 448; 468; 483; 504; 546; 552; 576; 588; 598; 621; 624; 637; 644; 672; 702; 728; 736; 756; 784; 819; 828; 832; 864; 882; 897; 936; 966; 1,008; 1,092; 1,104; 1,127; 1,176; 1,196; 1,242; 1,248; 1,274; 1,288; 1,323; 1,344; 1,404; 1,449; 1,456; 1,472; 1,512; 1,568; 1,638; 1,656; 1,728; 1,764; 1,794; 1,872; 1,911; 1,932; 2,016; 2,093; 2,184; 2,208; 2,254; 2,352; 2,392; 2,457; 2,484; 2,496; 2,548; 2,576; 2,646; 2,691; 2,808; 2,898; 2,912; 3,024; 3,136; 3,276; 3,312; 3,381; 3,528; 3,588; 3,744; 3,822; 3,864; 4,032; 4,186; 4,347; 4,368; 4,416; 4,508; 4,704; 4,784; 4,914; 4,968; 5,096; 5,152; 5,292; 5,382; 5,616; 5,733; 5,796; 5,824; 6,048; 6,279; 6,552; 6,624; 6,762; 7,056; 7,176; 7,488; 7,644; 7,728; 8,073; 8,372; 8,694; 8,736; 9,016; 9,408; 9,568; 9,828; 9,936; 10,143; 10,192; 10,304; 10,584; 10,764; 11,232; 11,466; 11,592; 12,096; 12,558; 13,104; 13,248; 13,524; 14,112; 14,352; 14,651; 15,288; 15,456; 16,146; 16,744; 17,199; 17,388; 17,472; 18,032; 18,837; 19,136; 19,656; 19,872; 20,286; 20,384; 21,168; 21,528; 22,464; 22,932; 23,184; 25,116; 26,208; 27,048; 28,224; 28,704; 29,302; 30,429; 30,576; 30,912; 32,292; 33,488; 34,398; 34,776; 36,064; 37,674; 39,312; 39,744; 40,572; 40,768; 42,336; 43,056; 43,953; 45,864; 46,368; 50,232; 52,416; 54,096; 56,511; 57,408; 58,604; 60,858; 61,152; 64,584; 66,976; 68,796; 69,552; 72,128; 75,348; 78,624; 81,144; 84,672; 86,112; 87,906; 91,728; 92,736; 100,464; 108,192; 113,022; 117,208; 121,716; 122,304; 129,168; 131,859; 133,952; 137,592; 139,104; 150,696; 157,248; 162,288; 172,224; 175,812; 183,456; 200,928; 216,384; 226,044; 234,416; 243,432; 258,336; 263,718; 275,184; 278,208; 301,392; 324,576; 351,624; 366,912; 395,577; 401,856; 452,088; 468,832; 486,864; 516,672; 527,436; 550,368; 602,784; 649,152; 703,248; 791,154; 904,176; 937,664; 973,728; 1,054,872; 1,100,736; 1,205,568; 1,406,496; 1,582,308; 1,808,352; 1,947,456; 2,109,744; 2,812,992; 3,164,616; 3,616,704; 4,219,488; 6,329,232; 8,438,976; 12,658,464 and 25,316,928
out of which 5 prime factors: 2; 3; 7; 13 and 23
25,316,928 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 25,316,919?

» What are all the proper, improper and prime factors (divisors) of the number 25,316,933?


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".