Given the Number 120,092,544, Calculate (Find) All the Factors (All the Divisors) of the Number 120,092,544 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 120,092,544

1. Carry out the prime factorization of the number 120,092,544:

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

120,092,544 = 27 × 38 × 11 × 13
120,092,544 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 120,092,544

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
23 = 8
32 = 9
prime factor = 11
22 × 3 = 12
prime factor = 13
24 = 16
2 × 32 = 18
2 × 11 = 22
23 × 3 = 24
2 × 13 = 26
33 = 27
25 = 32
3 × 11 = 33
22 × 32 = 36
3 × 13 = 39
22 × 11 = 44
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
26 = 64
2 × 3 × 11 = 66
23 × 32 = 72
2 × 3 × 13 = 78
34 = 81
23 × 11 = 88
25 × 3 = 96
32 × 11 = 99
23 × 13 = 104
22 × 33 = 108
32 × 13 = 117
27 = 128
22 × 3 × 11 = 132
11 × 13 = 143
24 × 32 = 144
22 × 3 × 13 = 156
2 × 34 = 162
24 × 11 = 176
26 × 3 = 192
2 × 32 × 11 = 198
24 × 13 = 208
23 × 33 = 216
2 × 32 × 13 = 234
35 = 243
23 × 3 × 11 = 264
2 × 11 × 13 = 286
25 × 32 = 288
33 × 11 = 297
23 × 3 × 13 = 312
22 × 34 = 324
33 × 13 = 351
25 × 11 = 352
27 × 3 = 384
22 × 32 × 11 = 396
25 × 13 = 416
3 × 11 × 13 = 429
24 × 33 = 432
22 × 32 × 13 = 468
2 × 35 = 486
24 × 3 × 11 = 528
22 × 11 × 13 = 572
26 × 32 = 576
2 × 33 × 11 = 594
24 × 3 × 13 = 624
23 × 34 = 648
2 × 33 × 13 = 702
26 × 11 = 704
36 = 729
23 × 32 × 11 = 792
26 × 13 = 832
2 × 3 × 11 × 13 = 858
25 × 33 = 864
34 × 11 = 891
23 × 32 × 13 = 936
22 × 35 = 972
34 × 13 = 1,053
25 × 3 × 11 = 1,056
23 × 11 × 13 = 1,144
27 × 32 = 1,152
22 × 33 × 11 = 1,188
25 × 3 × 13 = 1,248
32 × 11 × 13 = 1,287
24 × 34 = 1,296
22 × 33 × 13 = 1,404
27 × 11 = 1,408
2 × 36 = 1,458
24 × 32 × 11 = 1,584
27 × 13 = 1,664
22 × 3 × 11 × 13 = 1,716
26 × 33 = 1,728
2 × 34 × 11 = 1,782
24 × 32 × 13 = 1,872
23 × 35 = 1,944
2 × 34 × 13 = 2,106
26 × 3 × 11 = 2,112
37 = 2,187
24 × 11 × 13 = 2,288
23 × 33 × 11 = 2,376
26 × 3 × 13 = 2,496
2 × 32 × 11 × 13 = 2,574
25 × 34 = 2,592
35 × 11 = 2,673
23 × 33 × 13 = 2,808
22 × 36 = 2,916
35 × 13 = 3,159
25 × 32 × 11 = 3,168
23 × 3 × 11 × 13 = 3,432
27 × 33 = 3,456
22 × 34 × 11 = 3,564
25 × 32 × 13 = 3,744
33 × 11 × 13 = 3,861
24 × 35 = 3,888
22 × 34 × 13 = 4,212
27 × 3 × 11 = 4,224
2 × 37 = 4,374
25 × 11 × 13 = 4,576
24 × 33 × 11 = 4,752
27 × 3 × 13 = 4,992
22 × 32 × 11 × 13 = 5,148
26 × 34 = 5,184
2 × 35 × 11 = 5,346
24 × 33 × 13 = 5,616
23 × 36 = 5,832
2 × 35 × 13 = 6,318
26 × 32 × 11 = 6,336
38 = 6,561
24 × 3 × 11 × 13 = 6,864
23 × 34 × 11 = 7,128
26 × 32 × 13 = 7,488
2 × 33 × 11 × 13 = 7,722
25 × 35 = 7,776
36 × 11 = 8,019
23 × 34 × 13 = 8,424
22 × 37 = 8,748
26 × 11 × 13 = 9,152
36 × 13 = 9,477
25 × 33 × 11 = 9,504
23 × 32 × 11 × 13 = 10,296
27 × 34 = 10,368
22 × 35 × 11 = 10,692
This list continues below...

... This list continues from above
25 × 33 × 13 = 11,232
34 × 11 × 13 = 11,583
24 × 36 = 11,664
22 × 35 × 13 = 12,636
27 × 32 × 11 = 12,672
2 × 38 = 13,122
25 × 3 × 11 × 13 = 13,728
24 × 34 × 11 = 14,256
27 × 32 × 13 = 14,976
22 × 33 × 11 × 13 = 15,444
26 × 35 = 15,552
2 × 36 × 11 = 16,038
24 × 34 × 13 = 16,848
23 × 37 = 17,496
27 × 11 × 13 = 18,304
2 × 36 × 13 = 18,954
26 × 33 × 11 = 19,008
24 × 32 × 11 × 13 = 20,592
23 × 35 × 11 = 21,384
26 × 33 × 13 = 22,464
2 × 34 × 11 × 13 = 23,166
25 × 36 = 23,328
37 × 11 = 24,057
23 × 35 × 13 = 25,272
22 × 38 = 26,244
26 × 3 × 11 × 13 = 27,456
37 × 13 = 28,431
25 × 34 × 11 = 28,512
23 × 33 × 11 × 13 = 30,888
27 × 35 = 31,104
22 × 36 × 11 = 32,076
25 × 34 × 13 = 33,696
35 × 11 × 13 = 34,749
24 × 37 = 34,992
22 × 36 × 13 = 37,908
27 × 33 × 11 = 38,016
25 × 32 × 11 × 13 = 41,184
24 × 35 × 11 = 42,768
27 × 33 × 13 = 44,928
22 × 34 × 11 × 13 = 46,332
26 × 36 = 46,656
2 × 37 × 11 = 48,114
24 × 35 × 13 = 50,544
23 × 38 = 52,488
27 × 3 × 11 × 13 = 54,912
2 × 37 × 13 = 56,862
26 × 34 × 11 = 57,024
24 × 33 × 11 × 13 = 61,776
23 × 36 × 11 = 64,152
26 × 34 × 13 = 67,392
2 × 35 × 11 × 13 = 69,498
25 × 37 = 69,984
38 × 11 = 72,171
23 × 36 × 13 = 75,816
26 × 32 × 11 × 13 = 82,368
38 × 13 = 85,293
25 × 35 × 11 = 85,536
23 × 34 × 11 × 13 = 92,664
27 × 36 = 93,312
22 × 37 × 11 = 96,228
25 × 35 × 13 = 101,088
36 × 11 × 13 = 104,247
24 × 38 = 104,976
22 × 37 × 13 = 113,724
27 × 34 × 11 = 114,048
25 × 33 × 11 × 13 = 123,552
24 × 36 × 11 = 128,304
27 × 34 × 13 = 134,784
22 × 35 × 11 × 13 = 138,996
26 × 37 = 139,968
2 × 38 × 11 = 144,342
24 × 36 × 13 = 151,632
27 × 32 × 11 × 13 = 164,736
2 × 38 × 13 = 170,586
26 × 35 × 11 = 171,072
24 × 34 × 11 × 13 = 185,328
23 × 37 × 11 = 192,456
26 × 35 × 13 = 202,176
2 × 36 × 11 × 13 = 208,494
25 × 38 = 209,952
23 × 37 × 13 = 227,448
26 × 33 × 11 × 13 = 247,104
25 × 36 × 11 = 256,608
23 × 35 × 11 × 13 = 277,992
27 × 37 = 279,936
22 × 38 × 11 = 288,684
25 × 36 × 13 = 303,264
37 × 11 × 13 = 312,741
22 × 38 × 13 = 341,172
27 × 35 × 11 = 342,144
25 × 34 × 11 × 13 = 370,656
24 × 37 × 11 = 384,912
27 × 35 × 13 = 404,352
22 × 36 × 11 × 13 = 416,988
26 × 38 = 419,904
24 × 37 × 13 = 454,896
27 × 33 × 11 × 13 = 494,208
26 × 36 × 11 = 513,216
24 × 35 × 11 × 13 = 555,984
23 × 38 × 11 = 577,368
26 × 36 × 13 = 606,528
2 × 37 × 11 × 13 = 625,482
23 × 38 × 13 = 682,344
26 × 34 × 11 × 13 = 741,312
25 × 37 × 11 = 769,824
23 × 36 × 11 × 13 = 833,976
27 × 38 = 839,808
25 × 37 × 13 = 909,792
38 × 11 × 13 = 938,223
27 × 36 × 11 = 1,026,432
25 × 35 × 11 × 13 = 1,111,968
24 × 38 × 11 = 1,154,736
27 × 36 × 13 = 1,213,056
22 × 37 × 11 × 13 = 1,250,964
24 × 38 × 13 = 1,364,688
27 × 34 × 11 × 13 = 1,482,624
26 × 37 × 11 = 1,539,648
24 × 36 × 11 × 13 = 1,667,952
26 × 37 × 13 = 1,819,584
2 × 38 × 11 × 13 = 1,876,446
26 × 35 × 11 × 13 = 2,223,936
25 × 38 × 11 = 2,309,472
23 × 37 × 11 × 13 = 2,501,928
25 × 38 × 13 = 2,729,376
27 × 37 × 11 = 3,079,296
25 × 36 × 11 × 13 = 3,335,904
27 × 37 × 13 = 3,639,168
22 × 38 × 11 × 13 = 3,752,892
27 × 35 × 11 × 13 = 4,447,872
26 × 38 × 11 = 4,618,944
24 × 37 × 11 × 13 = 5,003,856
26 × 38 × 13 = 5,458,752
26 × 36 × 11 × 13 = 6,671,808
23 × 38 × 11 × 13 = 7,505,784
27 × 38 × 11 = 9,237,888
25 × 37 × 11 × 13 = 10,007,712
27 × 38 × 13 = 10,917,504
27 × 36 × 11 × 13 = 13,343,616
24 × 38 × 11 × 13 = 15,011,568
26 × 37 × 11 × 13 = 20,015,424
25 × 38 × 11 × 13 = 30,023,136
27 × 37 × 11 × 13 = 40,030,848
26 × 38 × 11 × 13 = 60,046,272
27 × 38 × 11 × 13 = 120,092,544

The final answer:
(scroll down)

120,092,544 has 288 factors (divisors):
1; 2; 3; 4; 6; 8; 9; 11; 12; 13; 16; 18; 22; 24; 26; 27; 32; 33; 36; 39; 44; 48; 52; 54; 64; 66; 72; 78; 81; 88; 96; 99; 104; 108; 117; 128; 132; 143; 144; 156; 162; 176; 192; 198; 208; 216; 234; 243; 264; 286; 288; 297; 312; 324; 351; 352; 384; 396; 416; 429; 432; 468; 486; 528; 572; 576; 594; 624; 648; 702; 704; 729; 792; 832; 858; 864; 891; 936; 972; 1,053; 1,056; 1,144; 1,152; 1,188; 1,248; 1,287; 1,296; 1,404; 1,408; 1,458; 1,584; 1,664; 1,716; 1,728; 1,782; 1,872; 1,944; 2,106; 2,112; 2,187; 2,288; 2,376; 2,496; 2,574; 2,592; 2,673; 2,808; 2,916; 3,159; 3,168; 3,432; 3,456; 3,564; 3,744; 3,861; 3,888; 4,212; 4,224; 4,374; 4,576; 4,752; 4,992; 5,148; 5,184; 5,346; 5,616; 5,832; 6,318; 6,336; 6,561; 6,864; 7,128; 7,488; 7,722; 7,776; 8,019; 8,424; 8,748; 9,152; 9,477; 9,504; 10,296; 10,368; 10,692; 11,232; 11,583; 11,664; 12,636; 12,672; 13,122; 13,728; 14,256; 14,976; 15,444; 15,552; 16,038; 16,848; 17,496; 18,304; 18,954; 19,008; 20,592; 21,384; 22,464; 23,166; 23,328; 24,057; 25,272; 26,244; 27,456; 28,431; 28,512; 30,888; 31,104; 32,076; 33,696; 34,749; 34,992; 37,908; 38,016; 41,184; 42,768; 44,928; 46,332; 46,656; 48,114; 50,544; 52,488; 54,912; 56,862; 57,024; 61,776; 64,152; 67,392; 69,498; 69,984; 72,171; 75,816; 82,368; 85,293; 85,536; 92,664; 93,312; 96,228; 101,088; 104,247; 104,976; 113,724; 114,048; 123,552; 128,304; 134,784; 138,996; 139,968; 144,342; 151,632; 164,736; 170,586; 171,072; 185,328; 192,456; 202,176; 208,494; 209,952; 227,448; 247,104; 256,608; 277,992; 279,936; 288,684; 303,264; 312,741; 341,172; 342,144; 370,656; 384,912; 404,352; 416,988; 419,904; 454,896; 494,208; 513,216; 555,984; 577,368; 606,528; 625,482; 682,344; 741,312; 769,824; 833,976; 839,808; 909,792; 938,223; 1,026,432; 1,111,968; 1,154,736; 1,213,056; 1,250,964; 1,364,688; 1,482,624; 1,539,648; 1,667,952; 1,819,584; 1,876,446; 2,223,936; 2,309,472; 2,501,928; 2,729,376; 3,079,296; 3,335,904; 3,639,168; 3,752,892; 4,447,872; 4,618,944; 5,003,856; 5,458,752; 6,671,808; 7,505,784; 9,237,888; 10,007,712; 10,917,504; 13,343,616; 15,011,568; 20,015,424; 30,023,136; 40,030,848; 60,046,272 and 120,092,544
out of which 4 prime factors: 2; 3; 11 and 13
120,092,544 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 120,092,541?

» What are all the proper, improper and prime factors (divisors) of the number 120,092,547?


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".