Divisors of 55440: All 120 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 55440

The number 55440 has 120 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  14,  15,  16,  18,  20,  21,  22,  24,  28,  30,  33,  35,  36,  40,  42,  44,  45,  48,  55,  56,  60,  63,  66,  70,  72,  77,  80,  84,  88,  90,  99,  105,  110,  112,  120,  126,  132,  140,  144,  154,  165,  168,  176,  180,  198,  210,  220,  231,  240,  252,  264,  280,  308,  315,  330,  336,  360,  385,  396,  420,  440,  462,  495,  504,  528,  560,  616,  630,  660,  693,  720,  770,  792,  840,  880,  924,  990,  1008,  1155,  1232,  1260,  1320,  1386,  1540,  1584,  1680,  1848,  1980,  2310,  2520,  2640,  2772,  3080,  3465,  3696,  3960,  4620,  5040,  5544,  6160,  6930,  7920,  9240,  11088,  13860,  18480,  27720,  55440

Divisor Pairs of 55440

Each pair multiplies to 55440:

Number of Divisors

The number 55440 has 120 divisors, written as τ(55440) = 120 in number theory.

Sum of Divisors

σ(55440) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 36 + 40 + 42 + 44 + 45 + 48 + 55 + 56 + 60 + 63 + 66 + 70 + 72 + 77 + 80 + 84 + 88 + 90 + 99 + 105 + 110 + 112 + 120 + 126 + 132 + 140 + 144 + 154 + 165 + 168 + 176 + 180 + 198 + 210 + 220 + 231 + 240 + 252 + 264 + 280 + 308 + 315 + 330 + 336 + 360 + 385 + 396 + 420 + 440 + 462 + 495 + 504 + 528 + 560 + 616 + 630 + 660 + 693 + 720 + 770 + 792 + 840 + 880 + 924 + 990 + 1008 + 1155 + 1232 + 1260 + 1320 + 1386 + 1540 + 1584 + 1680 + 1848 + 1980 + 2310 + 2520 + 2640 + 2772 + 3080 + 3465 + 3696 + 3960 + 4620 + 5040 + 5544 + 6160 + 6930 + 7920 + 9240 + 11088 + 13860 + 18480 + 27720 + 55440 = 232128

Prime Factorization of 55440

See the full prime factorization calculator →

Properties of 55440

• 55440 is composite.
• 55440 is not a perfect square.
• Number of divisors: 120.
• Sum of divisors: 232128.

Common Divisors with Another Number?

Looking for the divisors that 55440 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 55440

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √55440 ≈ 235.46. If i divides 55440, then both i and 55440/i are divisors.

1. 1 divides 55440 (55440 ÷ 1 = 55440) → pair (1, 55440)
2. 2 divides 55440 (55440 ÷ 2 = 27720) → pair (2, 27720)
3. 3 divides 55440 (55440 ÷ 3 = 18480) → pair (3, 18480)
4. 4 divides 55440 (55440 ÷ 4 = 13860) → pair (4, 13860)
5. 5 divides 55440 (55440 ÷ 5 = 11088) → pair (5, 11088)
6. 6 divides 55440 (55440 ÷ 6 = 9240) → pair (6, 9240)
7. 7 divides 55440 (55440 ÷ 7 = 7920) → pair (7, 7920)
8. 8 divides 55440 (55440 ÷ 8 = 6930) → pair (8, 6930)
9. 9 divides 55440 (55440 ÷ 9 = 6160) → pair (9, 6160)
10. 10 divides 55440 (55440 ÷ 10 = 5544) → pair (10, 5544)
11. 11 divides 55440 (55440 ÷ 11 = 5040) → pair (11, 5040)
12. 12 divides 55440 (55440 ÷ 12 = 4620) → pair (12, 4620)
13. 14 divides 55440 (55440 ÷ 14 = 3960) → pair (14, 3960)
14. 15 divides 55440 (55440 ÷ 15 = 3696) → pair (15, 3696)
15. 16 divides 55440 (55440 ÷ 16 = 3465) → pair (16, 3465)
16. 18 divides 55440 (55440 ÷ 18 = 3080) → pair (18, 3080)
17. 20 divides 55440 (55440 ÷ 20 = 2772) → pair (20, 2772)
18. 21 divides 55440 (55440 ÷ 21 = 2640) → pair (21, 2640)
19. 22 divides 55440 (55440 ÷ 22 = 2520) → pair (22, 2520)
20. 24 divides 55440 (55440 ÷ 24 = 2310) → pair (24, 2310)
21. 28 divides 55440 (55440 ÷ 28 = 1980) → pair (28, 1980)
22. 30 divides 55440 (55440 ÷ 30 = 1848) → pair (30, 1848)
23. 33 divides 55440 (55440 ÷ 33 = 1680) → pair (33, 1680)
24. 35 divides 55440 (55440 ÷ 35 = 1584) → pair (35, 1584)
25. 36 divides 55440 (55440 ÷ 36 = 1540) → pair (36, 1540)
26. 40 divides 55440 (55440 ÷ 40 = 1386) → pair (40, 1386)
27. 42 divides 55440 (55440 ÷ 42 = 1320) → pair (42, 1320)
28. 44 divides 55440 (55440 ÷ 44 = 1260) → pair (44, 1260)
29. 45 divides 55440 (55440 ÷ 45 = 1232) → pair (45, 1232)
30. 48 divides 55440 (55440 ÷ 48 = 1155) → pair (48, 1155)
31. 55 divides 55440 (55440 ÷ 55 = 1008) → pair (55, 1008)
32. 56 divides 55440 (55440 ÷ 56 = 990) → pair (56, 990)
33. 60 divides 55440 (55440 ÷ 60 = 924) → pair (60, 924)
34. 63 divides 55440 (55440 ÷ 63 = 880) → pair (63, 880)
35. 66 divides 55440 (55440 ÷ 66 = 840) → pair (66, 840)
36. 70 divides 55440 (55440 ÷ 70 = 792) → pair (70, 792)
37. 72 divides 55440 (55440 ÷ 72 = 770) → pair (72, 770)
38. 77 divides 55440 (55440 ÷ 77 = 720) → pair (77, 720)
39. 80 divides 55440 (55440 ÷ 80 = 693) → pair (80, 693)
40. 84 divides 55440 (55440 ÷ 84 = 660) → pair (84, 660)
41. 88 divides 55440 (55440 ÷ 88 = 630) → pair (88, 630)
42. 90 divides 55440 (55440 ÷ 90 = 616) → pair (90, 616)
43. 99 divides 55440 (55440 ÷ 99 = 560) → pair (99, 560)
44. 105 divides 55440 (55440 ÷ 105 = 528) → pair (105, 528)
45. 110 divides 55440 (55440 ÷ 110 = 504) → pair (110, 504)
46. 112 divides 55440 (55440 ÷ 112 = 495) → pair (112, 495)
47. 120 divides 55440 (55440 ÷ 120 = 462) → pair (120, 462)
48. 126 divides 55440 (55440 ÷ 126 = 440) → pair (126, 440)
49. 132 divides 55440 (55440 ÷ 132 = 420) → pair (132, 420)
50. 140 divides 55440 (55440 ÷ 140 = 396) → pair (140, 396)
51. 144 divides 55440 (55440 ÷ 144 = 385) → pair (144, 385)
52. 154 divides 55440 (55440 ÷ 154 = 360) → pair (154, 360)
53. 165 divides 55440 (55440 ÷ 165 = 336) → pair (165, 336)
54. 168 divides 55440 (55440 ÷ 168 = 330) → pair (168, 330)
55. 176 divides 55440 (55440 ÷ 176 = 315) → pair (176, 315)
56. 180 divides 55440 (55440 ÷ 180 = 308) → pair (180, 308)
57. 198 divides 55440 (55440 ÷ 198 = 280) → pair (198, 280)
58. 210 divides 55440 (55440 ÷ 210 = 264) → pair (210, 264)
59. 220 divides 55440 (55440 ÷ 220 = 252) → pair (220, 252)
60. 231 divides 55440 (55440 ÷ 231 = 240) → pair (231, 240)
61. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 48, 55, 56, 60, 63, 66, 70, 72, 77, 80, 84, 88, 90, 99, 105, 110, 112, 120, 126, 132, 140, 144, 154, 165, 168, 176, 180, 198, 210, 220, 231, 240, 252, 264, 280, 308, 315, 330, 336, 360, 385, 396, 420, 440, 462, 495, 504, 528, 560, 616, 630, 660, 693, 720, 770, 792, 840, 880, 924, 990, 1008, 1155, 1232, 1260, 1320, 1386, 1540, 1584, 1680, 1848, 1980, 2310, 2520, 2640, 2772, 3080, 3465, 3696, 3960, 4620, 5040, 5544, 6160, 6930, 7920, 9240, 11088, 13860, 18480, 27720, 55440} — total 120 divisors.
62. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 36 + 40 + 42 + 44 + 45 + 48 + 55 + 56 + 60 + 63 + 66 + 70 + 72 + 77 + 80 + 84 + 88 + 90 + 99 + 105 + 110 + 112 + 120 + 126 + 132 + 140 + 144 + 154 + 165 + 168 + 176 + 180 + 198 + 210 + 220 + 231 + 240 + 252 + 264 + 280 + 308 + 315 + 330 + 336 + 360 + 385 + 396 + 420 + 440 + 462 + 495 + 504 + 528 + 560 + 616 + 630 + 660 + 693 + 720 + 770 + 792 + 840 + 880 + 924 + 990 + 1008 + 1155 + 1232 + 1260 + 1320 + 1386 + 1540 + 1584 + 1680 + 1848 + 1980 + 2310 + 2520 + 2640 + 2772 + 3080 + 3465 + 3696 + 3960 + 4620 + 5040 + 5544 + 6160 + 6930 + 7920 + 9240 + 11088 + 13860 + 18480 + 27720 + 55440 = 232128.

Nearby Examples

Related Operations for 55440

• Multiples of a Number — "outward" complement of divisors
• 55440 Prime Factorization — decompose into prime building blocks
• Find GCF of 55440 and another number
• Find LCM of 55440 and another number
• Is 55440 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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