Divisors of 27360: All 72 Factors

Quick Answer

27360 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 228, 240, 285, 288, 304, 342, 360, 380, 456, 480, 570, 608, 684, 720, 760, 855, 912, 1140, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 3040, 3420, 4560, 5472, 6840, 9120, 13680, 27360.

Sum: 98280.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 228, 240, 285, 288, 304, 342, 360, 380, 456, 480, 570, 608, 684, 720, 760, 855, 912, 1140, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 3040, 3420, 4560, 5472, 6840, 9120, 13680, 27360

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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 27360

The number 27360 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  19,  20,  24,  30,  32,  36,  38,  40,  45,  48,  57,  60,  72,  76,  80,  90,  95,  96,  114,  120,  144,  152,  160,  171,  180,  190,  228,  240,  285,  288,  304,  342,  360,  380,  456,  480,  570,  608,  684,  720,  760,  855,  912,  1140,  1368,  1440,  1520,  1710,  1824,  2280,  2736,  3040,  3420,  4560,  5472,  6840,  9120,  13680,  27360

Divisor Pairs of 27360

Each pair multiplies to 27360:

Factor 1×Factor 2=Product
1×27360=27360
2×13680=27360
3×9120=27360
4×6840=27360
5×5472=27360
6×4560=27360
8×3420=27360
9×3040=27360
10×2736=27360
12×2280=27360
15×1824=27360
16×1710=27360
18×1520=27360
19×1440=27360
20×1368=27360
24×1140=27360
30×912=27360
32×855=27360
36×760=27360
38×720=27360
40×684=27360
45×608=27360
48×570=27360
57×480=27360
60×456=27360
72×380=27360
76×360=27360
80×342=27360
90×304=27360
95×288=27360
96×285=27360
114×240=27360
120×228=27360
144×190=27360
152×180=27360
160×171=27360

Number of Divisors

The number 27360 has 72 divisors, written as τ(27360) = 72 in number theory.

Sum of Divisors

σ(27360) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 19 + 20 + 24 + 30 + 32 + 36 + 38 + 40 + 45 + 48 + 57 + 60 + 72 + 76 + 80 + 90 + 95 + 96 + 114 + 120 + 144 + 152 + 160 + 171 + 180 + 190 + 228 + 240 + 285 + 288 + 304 + 342 + 360 + 380 + 456 + 480 + 570 + 608 + 684 + 720 + 760 + 855 + 912 + 1140 + 1368 + 1440 + 1520 + 1710 + 1824 + 2280 + 2736 + 3040 + 3420 + 4560 + 5472 + 6840 + 9120 + 13680 + 27360 = 98280

Prime Factorization of 27360

See the full prime factorization calculator →

Properties of 27360

  • 27360 is composite.
  • 27360 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 98280.

Common Divisors with Another Number?

Looking for the divisors that 27360 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 27360

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √27360 ≈ 165.41. If i divides 27360, then both i and 27360/i are divisors.

  1. 1 divides 27360 (27360 ÷ 1 = 27360) → pair (1, 27360)
  2. 2 divides 27360 (27360 ÷ 2 = 13680) → pair (2, 13680)
  3. 3 divides 27360 (27360 ÷ 3 = 9120) → pair (3, 9120)
  4. 4 divides 27360 (27360 ÷ 4 = 6840) → pair (4, 6840)
  5. 5 divides 27360 (27360 ÷ 5 = 5472) → pair (5, 5472)
  6. 6 divides 27360 (27360 ÷ 6 = 4560) → pair (6, 4560)
  7. 8 divides 27360 (27360 ÷ 8 = 3420) → pair (8, 3420)
  8. 9 divides 27360 (27360 ÷ 9 = 3040) → pair (9, 3040)
  9. 10 divides 27360 (27360 ÷ 10 = 2736) → pair (10, 2736)
  10. 12 divides 27360 (27360 ÷ 12 = 2280) → pair (12, 2280)
  11. 15 divides 27360 (27360 ÷ 15 = 1824) → pair (15, 1824)
  12. 16 divides 27360 (27360 ÷ 16 = 1710) → pair (16, 1710)
  13. 18 divides 27360 (27360 ÷ 18 = 1520) → pair (18, 1520)
  14. 19 divides 27360 (27360 ÷ 19 = 1440) → pair (19, 1440)
  15. 20 divides 27360 (27360 ÷ 20 = 1368) → pair (20, 1368)
  16. 24 divides 27360 (27360 ÷ 24 = 1140) → pair (24, 1140)
  17. 30 divides 27360 (27360 ÷ 30 = 912) → pair (30, 912)
  18. 32 divides 27360 (27360 ÷ 32 = 855) → pair (32, 855)
  19. 36 divides 27360 (27360 ÷ 36 = 760) → pair (36, 760)
  20. 38 divides 27360 (27360 ÷ 38 = 720) → pair (38, 720)
  21. 40 divides 27360 (27360 ÷ 40 = 684) → pair (40, 684)
  22. 45 divides 27360 (27360 ÷ 45 = 608) → pair (45, 608)
  23. 48 divides 27360 (27360 ÷ 48 = 570) → pair (48, 570)
  24. 57 divides 27360 (27360 ÷ 57 = 480) → pair (57, 480)
  25. 60 divides 27360 (27360 ÷ 60 = 456) → pair (60, 456)
  26. 72 divides 27360 (27360 ÷ 72 = 380) → pair (72, 380)
  27. 76 divides 27360 (27360 ÷ 76 = 360) → pair (76, 360)
  28. 80 divides 27360 (27360 ÷ 80 = 342) → pair (80, 342)
  29. 90 divides 27360 (27360 ÷ 90 = 304) → pair (90, 304)
  30. 95 divides 27360 (27360 ÷ 95 = 288) → pair (95, 288)
  31. 96 divides 27360 (27360 ÷ 96 = 285) → pair (96, 285)
  32. 114 divides 27360 (27360 ÷ 114 = 240) → pair (114, 240)
  33. 120 divides 27360 (27360 ÷ 120 = 228) → pair (120, 228)
  34. 144 divides 27360 (27360 ÷ 144 = 190) → pair (144, 190)
  35. 152 divides 27360 (27360 ÷ 152 = 180) → pair (152, 180)
  36. 160 divides 27360 (27360 ÷ 160 = 171) → pair (160, 171)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 228, 240, 285, 288, 304, 342, 360, 380, 456, 480, 570, 608, 684, 720, 760, 855, 912, 1140, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 3040, 3420, 4560, 5472, 6840, 9120, 13680, 27360} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 19 + 20 + 24 + 30 + 32 + 36 + 38 + 40 + 45 + 48 + 57 + 60 + 72 + 76 + 80 + 90 + 95 + 96 + 114 + 120 + 144 + 152 + 160 + 171 + 180 + 190 + 228 + 240 + 285 + 288 + 304 + 342 + 360 + 380 + 456 + 480 + 570 + 608 + 684 + 720 + 760 + 855 + 912 + 1140 + 1368 + 1440 + 1520 + 1710 + 1824 + 2280 + 2736 + 3040 + 3420 + 4560 + 5472 + 6840 + 9120 + 13680 + 27360 = 98280.

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Related Operations for 27360

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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