Divisors of 47124: All 72 Factors

Divisors (Factors) Calculator

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 47124

The number 47124 has 72 divisors:

1,  2,  3,  4,  6,  7,  9,  11,  12,  14,  17,  18,  21,  22,  28,  33,  34,  36,  42,  44,  51,  63,  66,  68,  77,  84,  99,  102,  119,  126,  132,  153,  154,  187,  198,  204,  231,  238,  252,  306,  308,  357,  374,  396,  462,  476,  561,  612,  693,  714,  748,  924,  1071,  1122,  1309,  1386,  1428,  1683,  2142,  2244,  2618,  2772,  3366,  3927,  4284,  5236,  6732,  7854,  11781,  15708,  23562,  47124

Divisor Pairs of 47124

Each pair multiplies to 47124:

Number of Divisors

The number 47124 has 72 divisors, written as τ(47124) = 72 in number theory.

Sum of Divisors

σ(47124) = 1 + 2 + 3 + 4 + 6 + 7 + 9 + 11 + 12 + 14 + 17 + 18 + 21 + 22 + 28 + 33 + 34 + 36 + 42 + 44 + 51 + 63 + 66 + 68 + 77 + 84 + 99 + 102 + 119 + 126 + 132 + 153 + 154 + 187 + 198 + 204 + 231 + 238 + 252 + 306 + 308 + 357 + 374 + 396 + 462 + 476 + 561 + 612 + 693 + 714 + 748 + 924 + 1071 + 1122 + 1309 + 1386 + 1428 + 1683 + 2142 + 2244 + 2618 + 2772 + 3366 + 3927 + 4284 + 5236 + 6732 + 7854 + 11781 + 15708 + 23562 + 47124 = 157248

Prime Factorization of 47124

See the full prime factorization calculator →

Properties of 47124

• 47124 is composite.
• 47124 is not a perfect square.
• Number of divisors: 72.
• Sum of divisors: 157248.

Common Divisors with Another Number?

Looking for the divisors that 47124 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 47124

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √47124 ≈ 217.08. If i divides 47124, then both i and 47124/i are divisors.

1. 1 divides 47124 (47124 ÷ 1 = 47124) → pair (1, 47124)
2. 2 divides 47124 (47124 ÷ 2 = 23562) → pair (2, 23562)
3. 3 divides 47124 (47124 ÷ 3 = 15708) → pair (3, 15708)
4. 4 divides 47124 (47124 ÷ 4 = 11781) → pair (4, 11781)
5. 6 divides 47124 (47124 ÷ 6 = 7854) → pair (6, 7854)
6. 7 divides 47124 (47124 ÷ 7 = 6732) → pair (7, 6732)
7. 9 divides 47124 (47124 ÷ 9 = 5236) → pair (9, 5236)
8. 11 divides 47124 (47124 ÷ 11 = 4284) → pair (11, 4284)
9. 12 divides 47124 (47124 ÷ 12 = 3927) → pair (12, 3927)
10. 14 divides 47124 (47124 ÷ 14 = 3366) → pair (14, 3366)
11. 17 divides 47124 (47124 ÷ 17 = 2772) → pair (17, 2772)
12. 18 divides 47124 (47124 ÷ 18 = 2618) → pair (18, 2618)
13. 21 divides 47124 (47124 ÷ 21 = 2244) → pair (21, 2244)
14. 22 divides 47124 (47124 ÷ 22 = 2142) → pair (22, 2142)
15. 28 divides 47124 (47124 ÷ 28 = 1683) → pair (28, 1683)
16. 33 divides 47124 (47124 ÷ 33 = 1428) → pair (33, 1428)
17. 34 divides 47124 (47124 ÷ 34 = 1386) → pair (34, 1386)
18. 36 divides 47124 (47124 ÷ 36 = 1309) → pair (36, 1309)
19. 42 divides 47124 (47124 ÷ 42 = 1122) → pair (42, 1122)
20. 44 divides 47124 (47124 ÷ 44 = 1071) → pair (44, 1071)
21. 51 divides 47124 (47124 ÷ 51 = 924) → pair (51, 924)
22. 63 divides 47124 (47124 ÷ 63 = 748) → pair (63, 748)
23. 66 divides 47124 (47124 ÷ 66 = 714) → pair (66, 714)
24. 68 divides 47124 (47124 ÷ 68 = 693) → pair (68, 693)
25. 77 divides 47124 (47124 ÷ 77 = 612) → pair (77, 612)
26. 84 divides 47124 (47124 ÷ 84 = 561) → pair (84, 561)
27. 99 divides 47124 (47124 ÷ 99 = 476) → pair (99, 476)
28. 102 divides 47124 (47124 ÷ 102 = 462) → pair (102, 462)
29. 119 divides 47124 (47124 ÷ 119 = 396) → pair (119, 396)
30. 126 divides 47124 (47124 ÷ 126 = 374) → pair (126, 374)
31. 132 divides 47124 (47124 ÷ 132 = 357) → pair (132, 357)
32. 153 divides 47124 (47124 ÷ 153 = 308) → pair (153, 308)
33. 154 divides 47124 (47124 ÷ 154 = 306) → pair (154, 306)
34. 187 divides 47124 (47124 ÷ 187 = 252) → pair (187, 252)
35. 198 divides 47124 (47124 ÷ 198 = 238) → pair (198, 238)
36. 204 divides 47124 (47124 ÷ 204 = 231) → pair (204, 231)
37. Collect all unique values: {1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 17, 18, 21, 22, 28, 33, 34, 36, 42, 44, 51, 63, 66, 68, 77, 84, 99, 102, 119, 126, 132, 153, 154, 187, 198, 204, 231, 238, 252, 306, 308, 357, 374, 396, 462, 476, 561, 612, 693, 714, 748, 924, 1071, 1122, 1309, 1386, 1428, 1683, 2142, 2244, 2618, 2772, 3366, 3927, 4284, 5236, 6732, 7854, 11781, 15708, 23562, 47124} — total 72 divisors.
38. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 11 + 12 + 14 + 17 + 18 + 21 + 22 + 28 + 33 + 34 + 36 + 42 + 44 + 51 + 63 + 66 + 68 + 77 + 84 + 99 + 102 + 119 + 126 + 132 + 153 + 154 + 187 + 198 + 204 + 231 + 238 + 252 + 306 + 308 + 357 + 374 + 396 + 462 + 476 + 561 + 612 + 693 + 714 + 748 + 924 + 1071 + 1122 + 1309 + 1386 + 1428 + 1683 + 2142 + 2244 + 2618 + 2772 + 3366 + 3927 + 4284 + 5236 + 6732 + 7854 + 11781 + 15708 + 23562 + 47124 = 157248.

Nearby Examples

Related Operations for 47124

• Multiples of a Number — "outward" complement of divisors
• 47124 Prime Factorization — decompose into prime building blocks
• Find GCF of 47124 and another number
• Find LCM of 47124 and another number
• Is 47124 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

Find all divisors of these numbers: