Divisors of 60720: All 80 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 60720

The number 60720 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  11,  12,  15,  16,  20,  22,  23,  24,  30,  33,  40,  44,  46,  48,  55,  60,  66,  69,  80,  88,  92,  110,  115,  120,  132,  138,  165,  176,  184,  220,  230,  240,  253,  264,  276,  330,  345,  368,  440,  460,  506,  528,  552,  660,  690,  759,  880,  920,  1012,  1104,  1265,  1320,  1380,  1518,  1840,  2024,  2530,  2640,  2760,  3036,  3795,  4048,  5060,  5520,  6072,  7590,  10120,  12144,  15180,  20240,  30360,  60720

Divisor Pairs of 60720

Each pair multiplies to 60720:

Number of Divisors

The number 60720 has 80 divisors, written as τ(60720) = 80 in number theory.

Sum of Divisors

σ(60720) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 16 + 20 + 22 + 23 + 24 + 30 + 33 + 40 + 44 + 46 + 48 + 55 + 60 + 66 + 69 + 80 + 88 + 92 + 110 + 115 + 120 + 132 + 138 + 165 + 176 + 184 + 220 + 230 + 240 + 253 + 264 + 276 + 330 + 345 + 368 + 440 + 460 + 506 + 528 + 552 + 660 + 690 + 759 + 880 + 920 + 1012 + 1104 + 1265 + 1320 + 1380 + 1518 + 1840 + 2024 + 2530 + 2640 + 2760 + 3036 + 3795 + 4048 + 5060 + 5520 + 6072 + 7590 + 10120 + 12144 + 15180 + 20240 + 30360 + 60720 = 214272

Prime Factorization of 60720

See the full prime factorization calculator →

Properties of 60720

• 60720 is composite.
• 60720 is not a perfect square.
• Number of divisors: 80.
• Sum of divisors: 214272.

Common Divisors with Another Number?

Looking for the divisors that 60720 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 60720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √60720 ≈ 246.41. If i divides 60720, then both i and 60720/i are divisors.

1. 1 divides 60720 (60720 ÷ 1 = 60720) → pair (1, 60720)
2. 2 divides 60720 (60720 ÷ 2 = 30360) → pair (2, 30360)
3. 3 divides 60720 (60720 ÷ 3 = 20240) → pair (3, 20240)
4. 4 divides 60720 (60720 ÷ 4 = 15180) → pair (4, 15180)
5. 5 divides 60720 (60720 ÷ 5 = 12144) → pair (5, 12144)
6. 6 divides 60720 (60720 ÷ 6 = 10120) → pair (6, 10120)
7. 8 divides 60720 (60720 ÷ 8 = 7590) → pair (8, 7590)
8. 10 divides 60720 (60720 ÷ 10 = 6072) → pair (10, 6072)
9. 11 divides 60720 (60720 ÷ 11 = 5520) → pair (11, 5520)
10. 12 divides 60720 (60720 ÷ 12 = 5060) → pair (12, 5060)
11. 15 divides 60720 (60720 ÷ 15 = 4048) → pair (15, 4048)
12. 16 divides 60720 (60720 ÷ 16 = 3795) → pair (16, 3795)
13. 20 divides 60720 (60720 ÷ 20 = 3036) → pair (20, 3036)
14. 22 divides 60720 (60720 ÷ 22 = 2760) → pair (22, 2760)
15. 23 divides 60720 (60720 ÷ 23 = 2640) → pair (23, 2640)
16. 24 divides 60720 (60720 ÷ 24 = 2530) → pair (24, 2530)
17. 30 divides 60720 (60720 ÷ 30 = 2024) → pair (30, 2024)
18. 33 divides 60720 (60720 ÷ 33 = 1840) → pair (33, 1840)
19. 40 divides 60720 (60720 ÷ 40 = 1518) → pair (40, 1518)
20. 44 divides 60720 (60720 ÷ 44 = 1380) → pair (44, 1380)
21. 46 divides 60720 (60720 ÷ 46 = 1320) → pair (46, 1320)
22. 48 divides 60720 (60720 ÷ 48 = 1265) → pair (48, 1265)
23. 55 divides 60720 (60720 ÷ 55 = 1104) → pair (55, 1104)
24. 60 divides 60720 (60720 ÷ 60 = 1012) → pair (60, 1012)
25. 66 divides 60720 (60720 ÷ 66 = 920) → pair (66, 920)
26. 69 divides 60720 (60720 ÷ 69 = 880) → pair (69, 880)
27. 80 divides 60720 (60720 ÷ 80 = 759) → pair (80, 759)
28. 88 divides 60720 (60720 ÷ 88 = 690) → pair (88, 690)
29. 92 divides 60720 (60720 ÷ 92 = 660) → pair (92, 660)
30. 110 divides 60720 (60720 ÷ 110 = 552) → pair (110, 552)
31. 115 divides 60720 (60720 ÷ 115 = 528) → pair (115, 528)
32. 120 divides 60720 (60720 ÷ 120 = 506) → pair (120, 506)
33. 132 divides 60720 (60720 ÷ 132 = 460) → pair (132, 460)
34. 138 divides 60720 (60720 ÷ 138 = 440) → pair (138, 440)
35. 165 divides 60720 (60720 ÷ 165 = 368) → pair (165, 368)
36. 176 divides 60720 (60720 ÷ 176 = 345) → pair (176, 345)
37. 184 divides 60720 (60720 ÷ 184 = 330) → pair (184, 330)
38. 220 divides 60720 (60720 ÷ 220 = 276) → pair (220, 276)
39. 230 divides 60720 (60720 ÷ 230 = 264) → pair (230, 264)
40. 240 divides 60720 (60720 ÷ 240 = 253) → pair (240, 253)
41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 23, 24, 30, 33, 40, 44, 46, 48, 55, 60, 66, 69, 80, 88, 92, 110, 115, 120, 132, 138, 165, 176, 184, 220, 230, 240, 253, 264, 276, 330, 345, 368, 440, 460, 506, 528, 552, 660, 690, 759, 880, 920, 1012, 1104, 1265, 1320, 1380, 1518, 1840, 2024, 2530, 2640, 2760, 3036, 3795, 4048, 5060, 5520, 6072, 7590, 10120, 12144, 15180, 20240, 30360, 60720} — total 80 divisors.
42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 16 + 20 + 22 + 23 + 24 + 30 + 33 + 40 + 44 + 46 + 48 + 55 + 60 + 66 + 69 + 80 + 88 + 92 + 110 + 115 + 120 + 132 + 138 + 165 + 176 + 184 + 220 + 230 + 240 + 253 + 264 + 276 + 330 + 345 + 368 + 440 + 460 + 506 + 528 + 552 + 660 + 690 + 759 + 880 + 920 + 1012 + 1104 + 1265 + 1320 + 1380 + 1518 + 1840 + 2024 + 2530 + 2640 + 2760 + 3036 + 3795 + 4048 + 5060 + 5520 + 6072 + 7590 + 10120 + 12144 + 15180 + 20240 + 30360 + 60720 = 214272.

Nearby Examples

Related Operations for 60720

• Multiples of a Number — "outward" complement of divisors
• 60720 Prime Factorization — decompose into prime building blocks
• Find GCF of 60720 and another number
• Find LCM of 60720 and another number
• Is 60720 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)

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