Divisors of 60480: All 112 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 60480

The number 60480 has 112 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  14,  15,  16,  18,  20,  21,  24,  27,  28,  30,  32,  35,  36,  40,  42,  45,  48,  54,  56,  60,  63,  64,  70,  72,  80,  84,  90,  96,  105,  108,  112,  120,  126,  135,  140,  144,  160,  168,  180,  189,  192,  210,  216,  224,  240,  252,  270,  280,  288,  315,  320,  336,  360,  378,  420,  432,  448,  480,  504,  540,  560,  576,  630,  672,  720,  756,  840,  864,  945,  960,  1008,  1080,  1120,  1260,  1344,  1440,  1512,  1680,  1728,  1890,  2016,  2160,  2240,  2520,  2880,  3024,  3360,  3780,  4032,  4320,  5040,  6048,  6720,  7560,  8640,  10080,  12096,  15120,  20160,  30240,  60480

Divisor Pairs of 60480

Each pair multiplies to 60480:

Number of Divisors

The number 60480 has 112 divisors, written as τ(60480) = 112 in number theory.

Sum of Divisors

σ(60480) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 27 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 54 + 56 + 60 + 63 + 64 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 108 + 112 + 120 + 126 + 135 + 140 + 144 + 160 + 168 + 180 + 189 + 192 + 210 + 216 + 224 + 240 + 252 + 270 + 280 + 288 + 315 + 320 + 336 + 360 + 378 + 420 + 432 + 448 + 480 + 504 + 540 + 560 + 576 + 630 + 672 + 720 + 756 + 840 + 864 + 945 + 960 + 1008 + 1080 + 1120 + 1260 + 1344 + 1440 + 1512 + 1680 + 1728 + 1890 + 2016 + 2160 + 2240 + 2520 + 2880 + 3024 + 3360 + 3780 + 4032 + 4320 + 5040 + 6048 + 6720 + 7560 + 8640 + 10080 + 12096 + 15120 + 20160 + 30240 + 60480 = 243840

Prime Factorization of 60480

See the full prime factorization calculator →

Properties of 60480

• 60480 is composite.
• 60480 is not a perfect square.
• Number of divisors: 112.
• Sum of divisors: 243840.

Common Divisors with Another Number?

Looking for the divisors that 60480 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 60480

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √60480 ≈ 245.93. If i divides 60480, then both i and 60480/i are divisors.

1. 1 divides 60480 (60480 ÷ 1 = 60480) → pair (1, 60480)
2. 2 divides 60480 (60480 ÷ 2 = 30240) → pair (2, 30240)
3. 3 divides 60480 (60480 ÷ 3 = 20160) → pair (3, 20160)
4. 4 divides 60480 (60480 ÷ 4 = 15120) → pair (4, 15120)
5. 5 divides 60480 (60480 ÷ 5 = 12096) → pair (5, 12096)
6. 6 divides 60480 (60480 ÷ 6 = 10080) → pair (6, 10080)
7. 7 divides 60480 (60480 ÷ 7 = 8640) → pair (7, 8640)
8. 8 divides 60480 (60480 ÷ 8 = 7560) → pair (8, 7560)
9. 9 divides 60480 (60480 ÷ 9 = 6720) → pair (9, 6720)
10. 10 divides 60480 (60480 ÷ 10 = 6048) → pair (10, 6048)
11. 12 divides 60480 (60480 ÷ 12 = 5040) → pair (12, 5040)
12. 14 divides 60480 (60480 ÷ 14 = 4320) → pair (14, 4320)
13. 15 divides 60480 (60480 ÷ 15 = 4032) → pair (15, 4032)
14. 16 divides 60480 (60480 ÷ 16 = 3780) → pair (16, 3780)
15. 18 divides 60480 (60480 ÷ 18 = 3360) → pair (18, 3360)
16. 20 divides 60480 (60480 ÷ 20 = 3024) → pair (20, 3024)
17. 21 divides 60480 (60480 ÷ 21 = 2880) → pair (21, 2880)
18. 24 divides 60480 (60480 ÷ 24 = 2520) → pair (24, 2520)
19. 27 divides 60480 (60480 ÷ 27 = 2240) → pair (27, 2240)
20. 28 divides 60480 (60480 ÷ 28 = 2160) → pair (28, 2160)
21. 30 divides 60480 (60480 ÷ 30 = 2016) → pair (30, 2016)
22. 32 divides 60480 (60480 ÷ 32 = 1890) → pair (32, 1890)
23. 35 divides 60480 (60480 ÷ 35 = 1728) → pair (35, 1728)
24. 36 divides 60480 (60480 ÷ 36 = 1680) → pair (36, 1680)
25. 40 divides 60480 (60480 ÷ 40 = 1512) → pair (40, 1512)
26. 42 divides 60480 (60480 ÷ 42 = 1440) → pair (42, 1440)
27. 45 divides 60480 (60480 ÷ 45 = 1344) → pair (45, 1344)
28. 48 divides 60480 (60480 ÷ 48 = 1260) → pair (48, 1260)
29. 54 divides 60480 (60480 ÷ 54 = 1120) → pair (54, 1120)
30. 56 divides 60480 (60480 ÷ 56 = 1080) → pair (56, 1080)
31. 60 divides 60480 (60480 ÷ 60 = 1008) → pair (60, 1008)
32. 63 divides 60480 (60480 ÷ 63 = 960) → pair (63, 960)
33. 64 divides 60480 (60480 ÷ 64 = 945) → pair (64, 945)
34. 70 divides 60480 (60480 ÷ 70 = 864) → pair (70, 864)
35. 72 divides 60480 (60480 ÷ 72 = 840) → pair (72, 840)
36. 80 divides 60480 (60480 ÷ 80 = 756) → pair (80, 756)
37. 84 divides 60480 (60480 ÷ 84 = 720) → pair (84, 720)
38. 90 divides 60480 (60480 ÷ 90 = 672) → pair (90, 672)
39. 96 divides 60480 (60480 ÷ 96 = 630) → pair (96, 630)
40. 105 divides 60480 (60480 ÷ 105 = 576) → pair (105, 576)
41. 108 divides 60480 (60480 ÷ 108 = 560) → pair (108, 560)
42. 112 divides 60480 (60480 ÷ 112 = 540) → pair (112, 540)
43. 120 divides 60480 (60480 ÷ 120 = 504) → pair (120, 504)
44. 126 divides 60480 (60480 ÷ 126 = 480) → pair (126, 480)
45. 135 divides 60480 (60480 ÷ 135 = 448) → pair (135, 448)
46. 140 divides 60480 (60480 ÷ 140 = 432) → pair (140, 432)
47. 144 divides 60480 (60480 ÷ 144 = 420) → pair (144, 420)
48. 160 divides 60480 (60480 ÷ 160 = 378) → pair (160, 378)
49. 168 divides 60480 (60480 ÷ 168 = 360) → pair (168, 360)
50. 180 divides 60480 (60480 ÷ 180 = 336) → pair (180, 336)
51. 189 divides 60480 (60480 ÷ 189 = 320) → pair (189, 320)
52. 192 divides 60480 (60480 ÷ 192 = 315) → pair (192, 315)
53. 210 divides 60480 (60480 ÷ 210 = 288) → pair (210, 288)
54. 216 divides 60480 (60480 ÷ 216 = 280) → pair (216, 280)
55. 224 divides 60480 (60480 ÷ 224 = 270) → pair (224, 270)
56. 240 divides 60480 (60480 ÷ 240 = 252) → pair (240, 252)
57. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 108, 112, 120, 126, 135, 140, 144, 160, 168, 180, 189, 192, 210, 216, 224, 240, 252, 270, 280, 288, 315, 320, 336, 360, 378, 420, 432, 448, 480, 504, 540, 560, 576, 630, 672, 720, 756, 840, 864, 945, 960, 1008, 1080, 1120, 1260, 1344, 1440, 1512, 1680, 1728, 1890, 2016, 2160, 2240, 2520, 2880, 3024, 3360, 3780, 4032, 4320, 5040, 6048, 6720, 7560, 8640, 10080, 12096, 15120, 20160, 30240, 60480} — total 112 divisors.
58. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 27 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 54 + 56 + 60 + 63 + 64 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 108 + 112 + 120 + 126 + 135 + 140 + 144 + 160 + 168 + 180 + 189 + 192 + 210 + 216 + 224 + 240 + 252 + 270 + 280 + 288 + 315 + 320 + 336 + 360 + 378 + 420 + 432 + 448 + 480 + 504 + 540 + 560 + 576 + 630 + 672 + 720 + 756 + 840 + 864 + 945 + 960 + 1008 + 1080 + 1120 + 1260 + 1344 + 1440 + 1512 + 1680 + 1728 + 1890 + 2016 + 2160 + 2240 + 2520 + 2880 + 3024 + 3360 + 3780 + 4032 + 4320 + 5040 + 6048 + 6720 + 7560 + 8640 + 10080 + 12096 + 15120 + 20160 + 30240 + 60480 = 243840.

Nearby Examples

Related Operations for 60480

• Multiples of a Number — "outward" complement of divisors
• 60480 Prime Factorization — decompose into prime building blocks
• Find GCF of 60480 and another number
• Find LCM of 60480 and another number
• Is 60480 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: