Given the Number 47,436,840, Calculate (Find) All the Factors (All the Divisors) of the Number 47,436,840 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 47,436,840

1. Carry out the prime factorization of the number 47,436,840:

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

47,436,840 = 23 × 34 × 5 × 114
47,436,840 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 47,436,840

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
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
23 × 3 = 24
33 = 27
2 × 3 × 5 = 30
3 × 11 = 33
22 × 32 = 36
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
2 × 3 × 11 = 66
23 × 32 = 72
34 = 81
23 × 11 = 88
2 × 32 × 5 = 90
32 × 11 = 99
22 × 33 = 108
2 × 5 × 11 = 110
23 × 3 × 5 = 120
112 = 121
22 × 3 × 11 = 132
33 × 5 = 135
2 × 34 = 162
3 × 5 × 11 = 165
22 × 32 × 5 = 180
2 × 32 × 11 = 198
23 × 33 = 216
22 × 5 × 11 = 220
2 × 112 = 242
23 × 3 × 11 = 264
2 × 33 × 5 = 270
33 × 11 = 297
22 × 34 = 324
2 × 3 × 5 × 11 = 330
23 × 32 × 5 = 360
3 × 112 = 363
22 × 32 × 11 = 396
34 × 5 = 405
23 × 5 × 11 = 440
22 × 112 = 484
32 × 5 × 11 = 495
22 × 33 × 5 = 540
2 × 33 × 11 = 594
5 × 112 = 605
23 × 34 = 648
22 × 3 × 5 × 11 = 660
2 × 3 × 112 = 726
23 × 32 × 11 = 792
2 × 34 × 5 = 810
34 × 11 = 891
23 × 112 = 968
2 × 32 × 5 × 11 = 990
23 × 33 × 5 = 1,080
32 × 112 = 1,089
22 × 33 × 11 = 1,188
2 × 5 × 112 = 1,210
23 × 3 × 5 × 11 = 1,320
113 = 1,331
22 × 3 × 112 = 1,452
33 × 5 × 11 = 1,485
22 × 34 × 5 = 1,620
2 × 34 × 11 = 1,782
3 × 5 × 112 = 1,815
22 × 32 × 5 × 11 = 1,980
2 × 32 × 112 = 2,178
23 × 33 × 11 = 2,376
22 × 5 × 112 = 2,420
2 × 113 = 2,662
23 × 3 × 112 = 2,904
2 × 33 × 5 × 11 = 2,970
23 × 34 × 5 = 3,240
33 × 112 = 3,267
22 × 34 × 11 = 3,564
2 × 3 × 5 × 112 = 3,630
23 × 32 × 5 × 11 = 3,960
3 × 113 = 3,993
22 × 32 × 112 = 4,356
34 × 5 × 11 = 4,455
23 × 5 × 112 = 4,840
22 × 113 = 5,324
32 × 5 × 112 = 5,445
22 × 33 × 5 × 11 = 5,940
2 × 33 × 112 = 6,534
5 × 113 = 6,655
This list continues below...

... This list continues from above
23 × 34 × 11 = 7,128
22 × 3 × 5 × 112 = 7,260
2 × 3 × 113 = 7,986
23 × 32 × 112 = 8,712
2 × 34 × 5 × 11 = 8,910
34 × 112 = 9,801
23 × 113 = 10,648
2 × 32 × 5 × 112 = 10,890
23 × 33 × 5 × 11 = 11,880
32 × 113 = 11,979
22 × 33 × 112 = 13,068
2 × 5 × 113 = 13,310
23 × 3 × 5 × 112 = 14,520
114 = 14,641
22 × 3 × 113 = 15,972
33 × 5 × 112 = 16,335
22 × 34 × 5 × 11 = 17,820
2 × 34 × 112 = 19,602
3 × 5 × 113 = 19,965
22 × 32 × 5 × 112 = 21,780
2 × 32 × 113 = 23,958
23 × 33 × 112 = 26,136
22 × 5 × 113 = 26,620
2 × 114 = 29,282
23 × 3 × 113 = 31,944
2 × 33 × 5 × 112 = 32,670
23 × 34 × 5 × 11 = 35,640
33 × 113 = 35,937
22 × 34 × 112 = 39,204
2 × 3 × 5 × 113 = 39,930
23 × 32 × 5 × 112 = 43,560
3 × 114 = 43,923
22 × 32 × 113 = 47,916
34 × 5 × 112 = 49,005
23 × 5 × 113 = 53,240
22 × 114 = 58,564
32 × 5 × 113 = 59,895
22 × 33 × 5 × 112 = 65,340
2 × 33 × 113 = 71,874
5 × 114 = 73,205
23 × 34 × 112 = 78,408
22 × 3 × 5 × 113 = 79,860
2 × 3 × 114 = 87,846
23 × 32 × 113 = 95,832
2 × 34 × 5 × 112 = 98,010
34 × 113 = 107,811
23 × 114 = 117,128
2 × 32 × 5 × 113 = 119,790
23 × 33 × 5 × 112 = 130,680
32 × 114 = 131,769
22 × 33 × 113 = 143,748
2 × 5 × 114 = 146,410
23 × 3 × 5 × 113 = 159,720
22 × 3 × 114 = 175,692
33 × 5 × 113 = 179,685
22 × 34 × 5 × 112 = 196,020
2 × 34 × 113 = 215,622
3 × 5 × 114 = 219,615
22 × 32 × 5 × 113 = 239,580
2 × 32 × 114 = 263,538
23 × 33 × 113 = 287,496
22 × 5 × 114 = 292,820
23 × 3 × 114 = 351,384
2 × 33 × 5 × 113 = 359,370
23 × 34 × 5 × 112 = 392,040
33 × 114 = 395,307
22 × 34 × 113 = 431,244
2 × 3 × 5 × 114 = 439,230
23 × 32 × 5 × 113 = 479,160
22 × 32 × 114 = 527,076
34 × 5 × 113 = 539,055
23 × 5 × 114 = 585,640
32 × 5 × 114 = 658,845
22 × 33 × 5 × 113 = 718,740
2 × 33 × 114 = 790,614
23 × 34 × 113 = 862,488
22 × 3 × 5 × 114 = 878,460
23 × 32 × 114 = 1,054,152
2 × 34 × 5 × 113 = 1,078,110
34 × 114 = 1,185,921
2 × 32 × 5 × 114 = 1,317,690
23 × 33 × 5 × 113 = 1,437,480
22 × 33 × 114 = 1,581,228
23 × 3 × 5 × 114 = 1,756,920
33 × 5 × 114 = 1,976,535
22 × 34 × 5 × 113 = 2,156,220
2 × 34 × 114 = 2,371,842
22 × 32 × 5 × 114 = 2,635,380
23 × 33 × 114 = 3,162,456
2 × 33 × 5 × 114 = 3,953,070
23 × 34 × 5 × 113 = 4,312,440
22 × 34 × 114 = 4,743,684
23 × 32 × 5 × 114 = 5,270,760
34 × 5 × 114 = 5,929,605
22 × 33 × 5 × 114 = 7,906,140
23 × 34 × 114 = 9,487,368
2 × 34 × 5 × 114 = 11,859,210
23 × 33 × 5 × 114 = 15,812,280
22 × 34 × 5 × 114 = 23,718,420
23 × 34 × 5 × 114 = 47,436,840

The final answer:
(scroll down)

47,436,840 has 200 factors (divisors):
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 15; 18; 20; 22; 24; 27; 30; 33; 36; 40; 44; 45; 54; 55; 60; 66; 72; 81; 88; 90; 99; 108; 110; 120; 121; 132; 135; 162; 165; 180; 198; 216; 220; 242; 264; 270; 297; 324; 330; 360; 363; 396; 405; 440; 484; 495; 540; 594; 605; 648; 660; 726; 792; 810; 891; 968; 990; 1,080; 1,089; 1,188; 1,210; 1,320; 1,331; 1,452; 1,485; 1,620; 1,782; 1,815; 1,980; 2,178; 2,376; 2,420; 2,662; 2,904; 2,970; 3,240; 3,267; 3,564; 3,630; 3,960; 3,993; 4,356; 4,455; 4,840; 5,324; 5,445; 5,940; 6,534; 6,655; 7,128; 7,260; 7,986; 8,712; 8,910; 9,801; 10,648; 10,890; 11,880; 11,979; 13,068; 13,310; 14,520; 14,641; 15,972; 16,335; 17,820; 19,602; 19,965; 21,780; 23,958; 26,136; 26,620; 29,282; 31,944; 32,670; 35,640; 35,937; 39,204; 39,930; 43,560; 43,923; 47,916; 49,005; 53,240; 58,564; 59,895; 65,340; 71,874; 73,205; 78,408; 79,860; 87,846; 95,832; 98,010; 107,811; 117,128; 119,790; 130,680; 131,769; 143,748; 146,410; 159,720; 175,692; 179,685; 196,020; 215,622; 219,615; 239,580; 263,538; 287,496; 292,820; 351,384; 359,370; 392,040; 395,307; 431,244; 439,230; 479,160; 527,076; 539,055; 585,640; 658,845; 718,740; 790,614; 862,488; 878,460; 1,054,152; 1,078,110; 1,185,921; 1,317,690; 1,437,480; 1,581,228; 1,756,920; 1,976,535; 2,156,220; 2,371,842; 2,635,380; 3,162,456; 3,953,070; 4,312,440; 4,743,684; 5,270,760; 5,929,605; 7,906,140; 9,487,368; 11,859,210; 15,812,280; 23,718,420 and 47,436,840
out of which 4 prime factors: 2; 3; 5 and 11
47,436,840 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 47,436,825?

» What are all the proper, improper and prime factors (divisors) of the number 47,436,853?


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.

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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".