Divisors of 57120: All 96 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 57120

The number 57120 has 96 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  17,  20,  21,  24,  28,  30,  32,  34,  35,  40,  42,  48,  51,  56,  60,  68,  70,  80,  84,  85,  96,  102,  105,  112,  119,  120,  136,  140,  160,  168,  170,  204,  210,  224,  238,  240,  255,  272,  280,  336,  340,  357,  408,  420,  476,  480,  510,  544,  560,  595,  672,  680,  714,  816,  840,  952,  1020,  1120,  1190,  1360,  1428,  1632,  1680,  1785,  1904,  2040,  2380,  2720,  2856,  3360,  3570,  3808,  4080,  4760,  5712,  7140,  8160,  9520,  11424,  14280,  19040,  28560,  57120

Divisor Pairs of 57120

Each pair multiplies to 57120:

Number of Divisors

The number 57120 has 96 divisors, written as τ(57120) = 96 in number theory.

Sum of Divisors

σ(57120) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 17 + 20 + 21 + 24 + 28 + 30 + 32 + 34 + 35 + 40 + 42 + 48 + 51 + 56 + 60 + 68 + 70 + 80 + 84 + 85 + 96 + 102 + 105 + 112 + 119 + 120 + 136 + 140 + 160 + 168 + 170 + 204 + 210 + 224 + 238 + 240 + 255 + 272 + 280 + 336 + 340 + 357 + 408 + 420 + 476 + 480 + 510 + 544 + 560 + 595 + 672 + 680 + 714 + 816 + 840 + 952 + 1020 + 1120 + 1190 + 1360 + 1428 + 1632 + 1680 + 1785 + 1904 + 2040 + 2380 + 2720 + 2856 + 3360 + 3570 + 3808 + 4080 + 4760 + 5712 + 7140 + 8160 + 9520 + 11424 + 14280 + 19040 + 28560 + 57120 = 217728

Prime Factorization of 57120

See the full prime factorization calculator →

Properties of 57120

• 57120 is composite.
• 57120 is not a perfect square.
• Number of divisors: 96.
• Sum of divisors: 217728.

Common Divisors with Another Number?

Looking for the divisors that 57120 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 57120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √57120 ≈ 239.00. If i divides 57120, then both i and 57120/i are divisors.

1. 1 divides 57120 (57120 ÷ 1 = 57120) → pair (1, 57120)
2. 2 divides 57120 (57120 ÷ 2 = 28560) → pair (2, 28560)
3. 3 divides 57120 (57120 ÷ 3 = 19040) → pair (3, 19040)
4. 4 divides 57120 (57120 ÷ 4 = 14280) → pair (4, 14280)
5. 5 divides 57120 (57120 ÷ 5 = 11424) → pair (5, 11424)
6. 6 divides 57120 (57120 ÷ 6 = 9520) → pair (6, 9520)
7. 7 divides 57120 (57120 ÷ 7 = 8160) → pair (7, 8160)
8. 8 divides 57120 (57120 ÷ 8 = 7140) → pair (8, 7140)
9. 10 divides 57120 (57120 ÷ 10 = 5712) → pair (10, 5712)
10. 12 divides 57120 (57120 ÷ 12 = 4760) → pair (12, 4760)
11. 14 divides 57120 (57120 ÷ 14 = 4080) → pair (14, 4080)
12. 15 divides 57120 (57120 ÷ 15 = 3808) → pair (15, 3808)
13. 16 divides 57120 (57120 ÷ 16 = 3570) → pair (16, 3570)
14. 17 divides 57120 (57120 ÷ 17 = 3360) → pair (17, 3360)
15. 20 divides 57120 (57120 ÷ 20 = 2856) → pair (20, 2856)
16. 21 divides 57120 (57120 ÷ 21 = 2720) → pair (21, 2720)
17. 24 divides 57120 (57120 ÷ 24 = 2380) → pair (24, 2380)
18. 28 divides 57120 (57120 ÷ 28 = 2040) → pair (28, 2040)
19. 30 divides 57120 (57120 ÷ 30 = 1904) → pair (30, 1904)
20. 32 divides 57120 (57120 ÷ 32 = 1785) → pair (32, 1785)
21. 34 divides 57120 (57120 ÷ 34 = 1680) → pair (34, 1680)
22. 35 divides 57120 (57120 ÷ 35 = 1632) → pair (35, 1632)
23. 40 divides 57120 (57120 ÷ 40 = 1428) → pair (40, 1428)
24. 42 divides 57120 (57120 ÷ 42 = 1360) → pair (42, 1360)
25. 48 divides 57120 (57120 ÷ 48 = 1190) → pair (48, 1190)
26. 51 divides 57120 (57120 ÷ 51 = 1120) → pair (51, 1120)
27. 56 divides 57120 (57120 ÷ 56 = 1020) → pair (56, 1020)
28. 60 divides 57120 (57120 ÷ 60 = 952) → pair (60, 952)
29. 68 divides 57120 (57120 ÷ 68 = 840) → pair (68, 840)
30. 70 divides 57120 (57120 ÷ 70 = 816) → pair (70, 816)
31. 80 divides 57120 (57120 ÷ 80 = 714) → pair (80, 714)
32. 84 divides 57120 (57120 ÷ 84 = 680) → pair (84, 680)
33. 85 divides 57120 (57120 ÷ 85 = 672) → pair (85, 672)
34. 96 divides 57120 (57120 ÷ 96 = 595) → pair (96, 595)
35. 102 divides 57120 (57120 ÷ 102 = 560) → pair (102, 560)
36. 105 divides 57120 (57120 ÷ 105 = 544) → pair (105, 544)
37. 112 divides 57120 (57120 ÷ 112 = 510) → pair (112, 510)
38. 119 divides 57120 (57120 ÷ 119 = 480) → pair (119, 480)
39. 120 divides 57120 (57120 ÷ 120 = 476) → pair (120, 476)
40. 136 divides 57120 (57120 ÷ 136 = 420) → pair (136, 420)
41. 140 divides 57120 (57120 ÷ 140 = 408) → pair (140, 408)
42. 160 divides 57120 (57120 ÷ 160 = 357) → pair (160, 357)
43. 168 divides 57120 (57120 ÷ 168 = 340) → pair (168, 340)
44. 170 divides 57120 (57120 ÷ 170 = 336) → pair (170, 336)
45. 204 divides 57120 (57120 ÷ 204 = 280) → pair (204, 280)
46. 210 divides 57120 (57120 ÷ 210 = 272) → pair (210, 272)
47. 224 divides 57120 (57120 ÷ 224 = 255) → pair (224, 255)
48. 238 divides 57120 (57120 ÷ 238 = 240) → pair (238, 240)
49. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 20, 21, 24, 28, 30, 32, 34, 35, 40, 42, 48, 51, 56, 60, 68, 70, 80, 84, 85, 96, 102, 105, 112, 119, 120, 136, 140, 160, 168, 170, 204, 210, 224, 238, 240, 255, 272, 280, 336, 340, 357, 408, 420, 476, 480, 510, 544, 560, 595, 672, 680, 714, 816, 840, 952, 1020, 1120, 1190, 1360, 1428, 1632, 1680, 1785, 1904, 2040, 2380, 2720, 2856, 3360, 3570, 3808, 4080, 4760, 5712, 7140, 8160, 9520, 11424, 14280, 19040, 28560, 57120} — total 96 divisors.
50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 17 + 20 + 21 + 24 + 28 + 30 + 32 + 34 + 35 + 40 + 42 + 48 + 51 + 56 + 60 + 68 + 70 + 80 + 84 + 85 + 96 + 102 + 105 + 112 + 119 + 120 + 136 + 140 + 160 + 168 + 170 + 204 + 210 + 224 + 238 + 240 + 255 + 272 + 280 + 336 + 340 + 357 + 408 + 420 + 476 + 480 + 510 + 544 + 560 + 595 + 672 + 680 + 714 + 816 + 840 + 952 + 1020 + 1120 + 1190 + 1360 + 1428 + 1632 + 1680 + 1785 + 1904 + 2040 + 2380 + 2720 + 2856 + 3360 + 3570 + 3808 + 4080 + 4760 + 5712 + 7140 + 8160 + 9520 + 11424 + 14280 + 19040 + 28560 + 57120 = 217728.

Nearby Examples

Related Operations for 57120

• Multiples of a Number — "outward" complement of divisors
• 57120 Prime Factorization — decompose into prime building blocks
• Find GCF of 57120 and another number
• Find LCM of 57120 and another number
• Is 57120 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

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