Divisors of 27720: All 96 Factors

Quick Answer

27720 has 96 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 110, 120, 126, 132, 140, 154, 165, 168, 180, 198, 210, 220, 231, 252, 264, 280, 308, 315, 330, 360, 385, 396, 420, 440, 462, 495, 504, 616, 630, 660, 693, 770, 792, 840, 924, 990, 1155, 1260, 1320, 1386, 1540, 1848, 1980, 2310, 2520, 2772, 3080, 3465, 3960, 4620, 5544, 6930, 9240, 13860, 27720.

Sum: 112320.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
96 divisors
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 110, 120, 126, 132, 140, 154, 165, 168, 180, 198, 210, 220, 231, 252, 264, 280, 308, 315, 330, 360, 385, 396, 420, 440, 462, 495, 504, 616, 630, 660, 693, 770, 792, 840, 924, 990, 1155, 1260, 1320, 1386, 1540, 1848, 1980, 2310, 2520, 2772, 3080, 3465, 3960, 4620, 5544, 6930, 9240, 13860, 27720

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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 27720

The number 27720 has 96 divisors:

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

Divisor Pairs of 27720

Each pair multiplies to 27720:

Factor 1×Factor 2=Product
1×27720=27720
2×13860=27720
3×9240=27720
4×6930=27720
5×5544=27720
6×4620=27720
7×3960=27720
8×3465=27720
9×3080=27720
10×2772=27720
11×2520=27720
12×2310=27720
14×1980=27720
15×1848=27720
18×1540=27720
20×1386=27720
21×1320=27720
22×1260=27720
24×1155=27720
28×990=27720
30×924=27720
33×840=27720
35×792=27720
36×770=27720
40×693=27720
42×660=27720
44×630=27720
45×616=27720
55×504=27720
56×495=27720
60×462=27720
63×440=27720
66×420=27720
70×396=27720
72×385=27720
77×360=27720
84×330=27720
88×315=27720
90×308=27720
99×280=27720
105×264=27720
110×252=27720
120×231=27720
126×220=27720
132×210=27720
140×198=27720
154×180=27720
165×168=27720

Number of Divisors

The number 27720 has 96 divisors, written as τ(27720) = 96 in number theory.

Sum of Divisors

σ(27720) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 14 + 15 + 18 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 36 + 40 + 42 + 44 + 45 + 55 + 56 + 60 + 63 + 66 + 70 + 72 + 77 + 84 + 88 + 90 + 99 + 105 + 110 + 120 + 126 + 132 + 140 + 154 + 165 + 168 + 180 + 198 + 210 + 220 + 231 + 252 + 264 + 280 + 308 + 315 + 330 + 360 + 385 + 396 + 420 + 440 + 462 + 495 + 504 + 616 + 630 + 660 + 693 + 770 + 792 + 840 + 924 + 990 + 1155 + 1260 + 1320 + 1386 + 1540 + 1848 + 1980 + 2310 + 2520 + 2772 + 3080 + 3465 + 3960 + 4620 + 5544 + 6930 + 9240 + 13860 + 27720 = 112320

Prime Factorization of 27720

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Properties of 27720

  • 27720 is composite.
  • 27720 is not a perfect square.
  • Number of divisors: 96.
  • Sum of divisors: 112320.

Common Divisors with Another Number?

Looking for the divisors that 27720 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 27720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √27720 ≈ 166.49. If i divides 27720, then both i and 27720/i are divisors.

  1. 1 divides 27720 (27720 ÷ 1 = 27720) → pair (1, 27720)
  2. 2 divides 27720 (27720 ÷ 2 = 13860) → pair (2, 13860)
  3. 3 divides 27720 (27720 ÷ 3 = 9240) → pair (3, 9240)
  4. 4 divides 27720 (27720 ÷ 4 = 6930) → pair (4, 6930)
  5. 5 divides 27720 (27720 ÷ 5 = 5544) → pair (5, 5544)
  6. 6 divides 27720 (27720 ÷ 6 = 4620) → pair (6, 4620)
  7. 7 divides 27720 (27720 ÷ 7 = 3960) → pair (7, 3960)
  8. 8 divides 27720 (27720 ÷ 8 = 3465) → pair (8, 3465)
  9. 9 divides 27720 (27720 ÷ 9 = 3080) → pair (9, 3080)
  10. 10 divides 27720 (27720 ÷ 10 = 2772) → pair (10, 2772)
  11. 11 divides 27720 (27720 ÷ 11 = 2520) → pair (11, 2520)
  12. 12 divides 27720 (27720 ÷ 12 = 2310) → pair (12, 2310)
  13. 14 divides 27720 (27720 ÷ 14 = 1980) → pair (14, 1980)
  14. 15 divides 27720 (27720 ÷ 15 = 1848) → pair (15, 1848)
  15. 18 divides 27720 (27720 ÷ 18 = 1540) → pair (18, 1540)
  16. 20 divides 27720 (27720 ÷ 20 = 1386) → pair (20, 1386)
  17. 21 divides 27720 (27720 ÷ 21 = 1320) → pair (21, 1320)
  18. 22 divides 27720 (27720 ÷ 22 = 1260) → pair (22, 1260)
  19. 24 divides 27720 (27720 ÷ 24 = 1155) → pair (24, 1155)
  20. 28 divides 27720 (27720 ÷ 28 = 990) → pair (28, 990)
  21. 30 divides 27720 (27720 ÷ 30 = 924) → pair (30, 924)
  22. 33 divides 27720 (27720 ÷ 33 = 840) → pair (33, 840)
  23. 35 divides 27720 (27720 ÷ 35 = 792) → pair (35, 792)
  24. 36 divides 27720 (27720 ÷ 36 = 770) → pair (36, 770)
  25. 40 divides 27720 (27720 ÷ 40 = 693) → pair (40, 693)
  26. 42 divides 27720 (27720 ÷ 42 = 660) → pair (42, 660)
  27. 44 divides 27720 (27720 ÷ 44 = 630) → pair (44, 630)
  28. 45 divides 27720 (27720 ÷ 45 = 616) → pair (45, 616)
  29. 55 divides 27720 (27720 ÷ 55 = 504) → pair (55, 504)
  30. 56 divides 27720 (27720 ÷ 56 = 495) → pair (56, 495)
  31. 60 divides 27720 (27720 ÷ 60 = 462) → pair (60, 462)
  32. 63 divides 27720 (27720 ÷ 63 = 440) → pair (63, 440)
  33. 66 divides 27720 (27720 ÷ 66 = 420) → pair (66, 420)
  34. 70 divides 27720 (27720 ÷ 70 = 396) → pair (70, 396)
  35. 72 divides 27720 (27720 ÷ 72 = 385) → pair (72, 385)
  36. 77 divides 27720 (27720 ÷ 77 = 360) → pair (77, 360)
  37. 84 divides 27720 (27720 ÷ 84 = 330) → pair (84, 330)
  38. 88 divides 27720 (27720 ÷ 88 = 315) → pair (88, 315)
  39. 90 divides 27720 (27720 ÷ 90 = 308) → pair (90, 308)
  40. 99 divides 27720 (27720 ÷ 99 = 280) → pair (99, 280)
  41. 105 divides 27720 (27720 ÷ 105 = 264) → pair (105, 264)
  42. 110 divides 27720 (27720 ÷ 110 = 252) → pair (110, 252)
  43. 120 divides 27720 (27720 ÷ 120 = 231) → pair (120, 231)
  44. 126 divides 27720 (27720 ÷ 126 = 220) → pair (126, 220)
  45. 132 divides 27720 (27720 ÷ 132 = 210) → pair (132, 210)
  46. 140 divides 27720 (27720 ÷ 140 = 198) → pair (140, 198)
  47. 154 divides 27720 (27720 ÷ 154 = 180) → pair (154, 180)
  48. 165 divides 27720 (27720 ÷ 165 = 168) → pair (165, 168)
  49. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 110, 120, 126, 132, 140, 154, 165, 168, 180, 198, 210, 220, 231, 252, 264, 280, 308, 315, 330, 360, 385, 396, 420, 440, 462, 495, 504, 616, 630, 660, 693, 770, 792, 840, 924, 990, 1155, 1260, 1320, 1386, 1540, 1848, 1980, 2310, 2520, 2772, 3080, 3465, 3960, 4620, 5544, 6930, 9240, 13860, 27720} — total 96 divisors.
  50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 14 + 15 + 18 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 36 + 40 + 42 + 44 + 45 + 55 + 56 + 60 + 63 + 66 + 70 + 72 + 77 + 84 + 88 + 90 + 99 + 105 + 110 + 120 + 126 + 132 + 140 + 154 + 165 + 168 + 180 + 198 + 210 + 220 + 231 + 252 + 264 + 280 + 308 + 315 + 330 + 360 + 385 + 396 + 420 + 440 + 462 + 495 + 504 + 616 + 630 + 660 + 693 + 770 + 792 + 840 + 924 + 990 + 1155 + 1260 + 1320 + 1386 + 1540 + 1848 + 1980 + 2310 + 2520 + 2772 + 3080 + 3465 + 3960 + 4620 + 5544 + 6930 + 9240 + 13860 + 27720 = 112320.

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Related Operations for 27720

See also our tables of divisors:

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

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