Divisors of 71280: All 100 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 71280

The number 71280 has 100 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  11,  12,  15,  16,  18,  20,  22,  24,  27,  30,  33,  36,  40,  44,  45,  48,  54,  55,  60,  66,  72,  80,  81,  88,  90,  99,  108,  110,  120,  132,  135,  144,  162,  165,  176,  180,  198,  216,  220,  240,  264,  270,  297,  324,  330,  360,  396,  405,  432,  440,  495,  528,  540,  594,  648,  660,  720,  792,  810,  880,  891,  990,  1080,  1188,  1296,  1320,  1485,  1584,  1620,  1782,  1980,  2160,  2376,  2640,  2970,  3240,  3564,  3960,  4455,  4752,  5940,  6480,  7128,  7920,  8910,  11880,  14256,  17820,  23760,  35640,  71280

Divisor Pairs of 71280

Each pair multiplies to 71280:

Number of Divisors

The number 71280 has 100 divisors, written as τ(71280) = 100 in number theory.

Sum of Divisors

σ(71280) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 27 + 30 + 33 + 36 + 40 + 44 + 45 + 48 + 54 + 55 + 60 + 66 + 72 + 80 + 81 + 88 + 90 + 99 + 108 + 110 + 120 + 132 + 135 + 144 + 162 + 165 + 176 + 180 + 198 + 216 + 220 + 240 + 264 + 270 + 297 + 324 + 330 + 360 + 396 + 405 + 432 + 440 + 495 + 528 + 540 + 594 + 648 + 660 + 720 + 792 + 810 + 880 + 891 + 990 + 1080 + 1188 + 1296 + 1320 + 1485 + 1584 + 1620 + 1782 + 1980 + 2160 + 2376 + 2640 + 2970 + 3240 + 3564 + 3960 + 4455 + 4752 + 5940 + 6480 + 7128 + 7920 + 8910 + 11880 + 14256 + 17820 + 23760 + 35640 + 71280 = 270072

Prime Factorization of 71280

See the full prime factorization calculator →

Properties of 71280

• 71280 is composite.
• 71280 is not a perfect square.
• Number of divisors: 100.
• Sum of divisors: 270072.

Common Divisors with Another Number?

Looking for the divisors that 71280 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 71280

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √71280 ≈ 266.98. If i divides 71280, then both i and 71280/i are divisors.

1. 1 divides 71280 (71280 ÷ 1 = 71280) → pair (1, 71280)
2. 2 divides 71280 (71280 ÷ 2 = 35640) → pair (2, 35640)
3. 3 divides 71280 (71280 ÷ 3 = 23760) → pair (3, 23760)
4. 4 divides 71280 (71280 ÷ 4 = 17820) → pair (4, 17820)
5. 5 divides 71280 (71280 ÷ 5 = 14256) → pair (5, 14256)
6. 6 divides 71280 (71280 ÷ 6 = 11880) → pair (6, 11880)
7. 8 divides 71280 (71280 ÷ 8 = 8910) → pair (8, 8910)
8. 9 divides 71280 (71280 ÷ 9 = 7920) → pair (9, 7920)
9. 10 divides 71280 (71280 ÷ 10 = 7128) → pair (10, 7128)
10. 11 divides 71280 (71280 ÷ 11 = 6480) → pair (11, 6480)
11. 12 divides 71280 (71280 ÷ 12 = 5940) → pair (12, 5940)
12. 15 divides 71280 (71280 ÷ 15 = 4752) → pair (15, 4752)
13. 16 divides 71280 (71280 ÷ 16 = 4455) → pair (16, 4455)
14. 18 divides 71280 (71280 ÷ 18 = 3960) → pair (18, 3960)
15. 20 divides 71280 (71280 ÷ 20 = 3564) → pair (20, 3564)
16. 22 divides 71280 (71280 ÷ 22 = 3240) → pair (22, 3240)
17. 24 divides 71280 (71280 ÷ 24 = 2970) → pair (24, 2970)
18. 27 divides 71280 (71280 ÷ 27 = 2640) → pair (27, 2640)
19. 30 divides 71280 (71280 ÷ 30 = 2376) → pair (30, 2376)
20. 33 divides 71280 (71280 ÷ 33 = 2160) → pair (33, 2160)
21. 36 divides 71280 (71280 ÷ 36 = 1980) → pair (36, 1980)
22. 40 divides 71280 (71280 ÷ 40 = 1782) → pair (40, 1782)
23. 44 divides 71280 (71280 ÷ 44 = 1620) → pair (44, 1620)
24. 45 divides 71280 (71280 ÷ 45 = 1584) → pair (45, 1584)
25. 48 divides 71280 (71280 ÷ 48 = 1485) → pair (48, 1485)
26. 54 divides 71280 (71280 ÷ 54 = 1320) → pair (54, 1320)
27. 55 divides 71280 (71280 ÷ 55 = 1296) → pair (55, 1296)
28. 60 divides 71280 (71280 ÷ 60 = 1188) → pair (60, 1188)
29. 66 divides 71280 (71280 ÷ 66 = 1080) → pair (66, 1080)
30. 72 divides 71280 (71280 ÷ 72 = 990) → pair (72, 990)
31. 80 divides 71280 (71280 ÷ 80 = 891) → pair (80, 891)
32. 81 divides 71280 (71280 ÷ 81 = 880) → pair (81, 880)
33. 88 divides 71280 (71280 ÷ 88 = 810) → pair (88, 810)
34. 90 divides 71280 (71280 ÷ 90 = 792) → pair (90, 792)
35. 99 divides 71280 (71280 ÷ 99 = 720) → pair (99, 720)
36. 108 divides 71280 (71280 ÷ 108 = 660) → pair (108, 660)
37. 110 divides 71280 (71280 ÷ 110 = 648) → pair (110, 648)
38. 120 divides 71280 (71280 ÷ 120 = 594) → pair (120, 594)
39. 132 divides 71280 (71280 ÷ 132 = 540) → pair (132, 540)
40. 135 divides 71280 (71280 ÷ 135 = 528) → pair (135, 528)
41. 144 divides 71280 (71280 ÷ 144 = 495) → pair (144, 495)
42. 162 divides 71280 (71280 ÷ 162 = 440) → pair (162, 440)
43. 165 divides 71280 (71280 ÷ 165 = 432) → pair (165, 432)
44. 176 divides 71280 (71280 ÷ 176 = 405) → pair (176, 405)
45. 180 divides 71280 (71280 ÷ 180 = 396) → pair (180, 396)
46. 198 divides 71280 (71280 ÷ 198 = 360) → pair (198, 360)
47. 216 divides 71280 (71280 ÷ 216 = 330) → pair (216, 330)
48. 220 divides 71280 (71280 ÷ 220 = 324) → pair (220, 324)
49. 240 divides 71280 (71280 ÷ 240 = 297) → pair (240, 297)
50. 264 divides 71280 (71280 ÷ 264 = 270) → pair (264, 270)
51. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 48, 54, 55, 60, 66, 72, 80, 81, 88, 90, 99, 108, 110, 120, 132, 135, 144, 162, 165, 176, 180, 198, 216, 220, 240, 264, 270, 297, 324, 330, 360, 396, 405, 432, 440, 495, 528, 540, 594, 648, 660, 720, 792, 810, 880, 891, 990, 1080, 1188, 1296, 1320, 1485, 1584, 1620, 1782, 1980, 2160, 2376, 2640, 2970, 3240, 3564, 3960, 4455, 4752, 5940, 6480, 7128, 7920, 8910, 11880, 14256, 17820, 23760, 35640, 71280} — total 100 divisors.
52. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 27 + 30 + 33 + 36 + 40 + 44 + 45 + 48 + 54 + 55 + 60 + 66 + 72 + 80 + 81 + 88 + 90 + 99 + 108 + 110 + 120 + 132 + 135 + 144 + 162 + 165 + 176 + 180 + 198 + 216 + 220 + 240 + 264 + 270 + 297 + 324 + 330 + 360 + 396 + 405 + 432 + 440 + 495 + 528 + 540 + 594 + 648 + 660 + 720 + 792 + 810 + 880 + 891 + 990 + 1080 + 1188 + 1296 + 1320 + 1485 + 1584 + 1620 + 1782 + 1980 + 2160 + 2376 + 2640 + 2970 + 3240 + 3564 + 3960 + 4455 + 4752 + 5940 + 6480 + 7128 + 7920 + 8910 + 11880 + 14256 + 17820 + 23760 + 35640 + 71280 = 270072.

Nearby Examples

Related Operations for 71280

• Multiples of a Number — "outward" complement of divisors
• 71280 Prime Factorization — decompose into prime building blocks
• Find GCF of 71280 and another number
• Find LCM of 71280 and another number
• Is 71280 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: