Divisors of 18480: All 80 Factors

Quick Answer

18480 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240, 18480.

Sum: 71424.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240, 18480

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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 18480

The number 18480 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  11,  12,  14,  15,  16,  20,  21,  22,  24,  28,  30,  33,  35,  40,  42,  44,  48,  55,  56,  60,  66,  70,  77,  80,  84,  88,  105,  110,  112,  120,  132,  140,  154,  165,  168,  176,  210,  220,  231,  240,  264,  280,  308,  330,  336,  385,  420,  440,  462,  528,  560,  616,  660,  770,  840,  880,  924,  1155,  1232,  1320,  1540,  1680,  1848,  2310,  2640,  3080,  3696,  4620,  6160,  9240,  18480

Divisor Pairs of 18480

Each pair multiplies to 18480:

Factor 1×Factor 2=Product
1×18480=18480
2×9240=18480
3×6160=18480
4×4620=18480
5×3696=18480
6×3080=18480
7×2640=18480
8×2310=18480
10×1848=18480
11×1680=18480
12×1540=18480
14×1320=18480
15×1232=18480
16×1155=18480
20×924=18480
21×880=18480
22×840=18480
24×770=18480
28×660=18480
30×616=18480
33×560=18480
35×528=18480
40×462=18480
42×440=18480
44×420=18480
48×385=18480
55×336=18480
56×330=18480
60×308=18480
66×280=18480
70×264=18480
77×240=18480
80×231=18480
84×220=18480
88×210=18480
105×176=18480
110×168=18480
112×165=18480
120×154=18480
132×140=18480

Number of Divisors

The number 18480 has 80 divisors, written as τ(18480) = 80 in number theory.

Sum of Divisors

σ(18480) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 11 + 12 + 14 + 15 + 16 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 40 + 42 + 44 + 48 + 55 + 56 + 60 + 66 + 70 + 77 + 80 + 84 + 88 + 105 + 110 + 112 + 120 + 132 + 140 + 154 + 165 + 168 + 176 + 210 + 220 + 231 + 240 + 264 + 280 + 308 + 330 + 336 + 385 + 420 + 440 + 462 + 528 + 560 + 616 + 660 + 770 + 840 + 880 + 924 + 1155 + 1232 + 1320 + 1540 + 1680 + 1848 + 2310 + 2640 + 3080 + 3696 + 4620 + 6160 + 9240 + 18480 = 71424

Prime Factorization of 18480

See the full prime factorization calculator →

Properties of 18480

  • 18480 is composite.
  • 18480 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 71424.

Common Divisors with Another Number?

Looking for the divisors that 18480 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 18480

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √18480 ≈ 135.94. If i divides 18480, then both i and 18480/i are divisors.

  1. 1 divides 18480 (18480 ÷ 1 = 18480) → pair (1, 18480)
  2. 2 divides 18480 (18480 ÷ 2 = 9240) → pair (2, 9240)
  3. 3 divides 18480 (18480 ÷ 3 = 6160) → pair (3, 6160)
  4. 4 divides 18480 (18480 ÷ 4 = 4620) → pair (4, 4620)
  5. 5 divides 18480 (18480 ÷ 5 = 3696) → pair (5, 3696)
  6. 6 divides 18480 (18480 ÷ 6 = 3080) → pair (6, 3080)
  7. 7 divides 18480 (18480 ÷ 7 = 2640) → pair (7, 2640)
  8. 8 divides 18480 (18480 ÷ 8 = 2310) → pair (8, 2310)
  9. 10 divides 18480 (18480 ÷ 10 = 1848) → pair (10, 1848)
  10. 11 divides 18480 (18480 ÷ 11 = 1680) → pair (11, 1680)
  11. 12 divides 18480 (18480 ÷ 12 = 1540) → pair (12, 1540)
  12. 14 divides 18480 (18480 ÷ 14 = 1320) → pair (14, 1320)
  13. 15 divides 18480 (18480 ÷ 15 = 1232) → pair (15, 1232)
  14. 16 divides 18480 (18480 ÷ 16 = 1155) → pair (16, 1155)
  15. 20 divides 18480 (18480 ÷ 20 = 924) → pair (20, 924)
  16. 21 divides 18480 (18480 ÷ 21 = 880) → pair (21, 880)
  17. 22 divides 18480 (18480 ÷ 22 = 840) → pair (22, 840)
  18. 24 divides 18480 (18480 ÷ 24 = 770) → pair (24, 770)
  19. 28 divides 18480 (18480 ÷ 28 = 660) → pair (28, 660)
  20. 30 divides 18480 (18480 ÷ 30 = 616) → pair (30, 616)
  21. 33 divides 18480 (18480 ÷ 33 = 560) → pair (33, 560)
  22. 35 divides 18480 (18480 ÷ 35 = 528) → pair (35, 528)
  23. 40 divides 18480 (18480 ÷ 40 = 462) → pair (40, 462)
  24. 42 divides 18480 (18480 ÷ 42 = 440) → pair (42, 440)
  25. 44 divides 18480 (18480 ÷ 44 = 420) → pair (44, 420)
  26. 48 divides 18480 (18480 ÷ 48 = 385) → pair (48, 385)
  27. 55 divides 18480 (18480 ÷ 55 = 336) → pair (55, 336)
  28. 56 divides 18480 (18480 ÷ 56 = 330) → pair (56, 330)
  29. 60 divides 18480 (18480 ÷ 60 = 308) → pair (60, 308)
  30. 66 divides 18480 (18480 ÷ 66 = 280) → pair (66, 280)
  31. 70 divides 18480 (18480 ÷ 70 = 264) → pair (70, 264)
  32. 77 divides 18480 (18480 ÷ 77 = 240) → pair (77, 240)
  33. 80 divides 18480 (18480 ÷ 80 = 231) → pair (80, 231)
  34. 84 divides 18480 (18480 ÷ 84 = 220) → pair (84, 220)
  35. 88 divides 18480 (18480 ÷ 88 = 210) → pair (88, 210)
  36. 105 divides 18480 (18480 ÷ 105 = 176) → pair (105, 176)
  37. 110 divides 18480 (18480 ÷ 110 = 168) → pair (110, 168)
  38. 112 divides 18480 (18480 ÷ 112 = 165) → pair (112, 165)
  39. 120 divides 18480 (18480 ÷ 120 = 154) → pair (120, 154)
  40. 132 divides 18480 (18480 ÷ 132 = 140) → pair (132, 140)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240, 18480} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 11 + 12 + 14 + 15 + 16 + 20 + 21 + 22 + 24 + 28 + 30 + 33 + 35 + 40 + 42 + 44 + 48 + 55 + 56 + 60 + 66 + 70 + 77 + 80 + 84 + 88 + 105 + 110 + 112 + 120 + 132 + 140 + 154 + 165 + 168 + 176 + 210 + 220 + 231 + 240 + 264 + 280 + 308 + 330 + 336 + 385 + 420 + 440 + 462 + 528 + 560 + 616 + 660 + 770 + 840 + 880 + 924 + 1155 + 1232 + 1320 + 1540 + 1680 + 1848 + 2310 + 2640 + 3080 + 3696 + 4620 + 6160 + 9240 + 18480 = 71424.

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Related Operations for 18480

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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