Divisors of 18720: All 72 Factors

Quick Answer

18720 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 96, 104, 117, 120, 130, 144, 156, 160, 180, 195, 208, 234, 240, 260, 288, 312, 360, 390, 416, 468, 480, 520, 585, 624, 720, 780, 936, 1040, 1170, 1248, 1440, 1560, 1872, 2080, 2340, 3120, 3744, 4680, 6240, 9360, 18720.

Sum: 68796.

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, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 96, 104, 117, 120, 130, 144, 156, 160, 180, 195, 208, 234, 240, 260, 288, 312, 360, 390, 416, 468, 480, 520, 585, 624, 720, 780, 936, 1040, 1170, 1248, 1440, 1560, 1872, 2080, 2340, 3120, 3744, 4680, 6240, 9360, 18720

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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 18720

The number 18720 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  13,  15,  16,  18,  20,  24,  26,  30,  32,  36,  39,  40,  45,  48,  52,  60,  65,  72,  78,  80,  90,  96,  104,  117,  120,  130,  144,  156,  160,  180,  195,  208,  234,  240,  260,  288,  312,  360,  390,  416,  468,  480,  520,  585,  624,  720,  780,  936,  1040,  1170,  1248,  1440,  1560,  1872,  2080,  2340,  3120,  3744,  4680,  6240,  9360,  18720

Divisor Pairs of 18720

Each pair multiplies to 18720:

Factor 1×Factor 2=Product
1×18720=18720
2×9360=18720
3×6240=18720
4×4680=18720
5×3744=18720
6×3120=18720
8×2340=18720
9×2080=18720
10×1872=18720
12×1560=18720
13×1440=18720
15×1248=18720
16×1170=18720
18×1040=18720
20×936=18720
24×780=18720
26×720=18720
30×624=18720
32×585=18720
36×520=18720
39×480=18720
40×468=18720
45×416=18720
48×390=18720
52×360=18720
60×312=18720
65×288=18720
72×260=18720
78×240=18720
80×234=18720
90×208=18720
96×195=18720
104×180=18720
117×160=18720
120×156=18720
130×144=18720

Number of Divisors

The number 18720 has 72 divisors, written as τ(18720) = 72 in number theory.

Sum of Divisors

σ(18720) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 16 + 18 + 20 + 24 + 26 + 30 + 32 + 36 + 39 + 40 + 45 + 48 + 52 + 60 + 65 + 72 + 78 + 80 + 90 + 96 + 104 + 117 + 120 + 130 + 144 + 156 + 160 + 180 + 195 + 208 + 234 + 240 + 260 + 288 + 312 + 360 + 390 + 416 + 468 + 480 + 520 + 585 + 624 + 720 + 780 + 936 + 1040 + 1170 + 1248 + 1440 + 1560 + 1872 + 2080 + 2340 + 3120 + 3744 + 4680 + 6240 + 9360 + 18720 = 68796

Prime Factorization of 18720

See the full prime factorization calculator →

Properties of 18720

  • 18720 is composite.
  • 18720 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 68796.

Common Divisors with Another Number?

Looking for the divisors that 18720 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 18720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √18720 ≈ 136.82. If i divides 18720, then both i and 18720/i are divisors.

  1. 1 divides 18720 (18720 ÷ 1 = 18720) → pair (1, 18720)
  2. 2 divides 18720 (18720 ÷ 2 = 9360) → pair (2, 9360)
  3. 3 divides 18720 (18720 ÷ 3 = 6240) → pair (3, 6240)
  4. 4 divides 18720 (18720 ÷ 4 = 4680) → pair (4, 4680)
  5. 5 divides 18720 (18720 ÷ 5 = 3744) → pair (5, 3744)
  6. 6 divides 18720 (18720 ÷ 6 = 3120) → pair (6, 3120)
  7. 8 divides 18720 (18720 ÷ 8 = 2340) → pair (8, 2340)
  8. 9 divides 18720 (18720 ÷ 9 = 2080) → pair (9, 2080)
  9. 10 divides 18720 (18720 ÷ 10 = 1872) → pair (10, 1872)
  10. 12 divides 18720 (18720 ÷ 12 = 1560) → pair (12, 1560)
  11. 13 divides 18720 (18720 ÷ 13 = 1440) → pair (13, 1440)
  12. 15 divides 18720 (18720 ÷ 15 = 1248) → pair (15, 1248)
  13. 16 divides 18720 (18720 ÷ 16 = 1170) → pair (16, 1170)
  14. 18 divides 18720 (18720 ÷ 18 = 1040) → pair (18, 1040)
  15. 20 divides 18720 (18720 ÷ 20 = 936) → pair (20, 936)
  16. 24 divides 18720 (18720 ÷ 24 = 780) → pair (24, 780)
  17. 26 divides 18720 (18720 ÷ 26 = 720) → pair (26, 720)
  18. 30 divides 18720 (18720 ÷ 30 = 624) → pair (30, 624)
  19. 32 divides 18720 (18720 ÷ 32 = 585) → pair (32, 585)
  20. 36 divides 18720 (18720 ÷ 36 = 520) → pair (36, 520)
  21. 39 divides 18720 (18720 ÷ 39 = 480) → pair (39, 480)
  22. 40 divides 18720 (18720 ÷ 40 = 468) → pair (40, 468)
  23. 45 divides 18720 (18720 ÷ 45 = 416) → pair (45, 416)
  24. 48 divides 18720 (18720 ÷ 48 = 390) → pair (48, 390)
  25. 52 divides 18720 (18720 ÷ 52 = 360) → pair (52, 360)
  26. 60 divides 18720 (18720 ÷ 60 = 312) → pair (60, 312)
  27. 65 divides 18720 (18720 ÷ 65 = 288) → pair (65, 288)
  28. 72 divides 18720 (18720 ÷ 72 = 260) → pair (72, 260)
  29. 78 divides 18720 (18720 ÷ 78 = 240) → pair (78, 240)
  30. 80 divides 18720 (18720 ÷ 80 = 234) → pair (80, 234)
  31. 90 divides 18720 (18720 ÷ 90 = 208) → pair (90, 208)
  32. 96 divides 18720 (18720 ÷ 96 = 195) → pair (96, 195)
  33. 104 divides 18720 (18720 ÷ 104 = 180) → pair (104, 180)
  34. 117 divides 18720 (18720 ÷ 117 = 160) → pair (117, 160)
  35. 120 divides 18720 (18720 ÷ 120 = 156) → pair (120, 156)
  36. 130 divides 18720 (18720 ÷ 130 = 144) → pair (130, 144)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 96, 104, 117, 120, 130, 144, 156, 160, 180, 195, 208, 234, 240, 260, 288, 312, 360, 390, 416, 468, 480, 520, 585, 624, 720, 780, 936, 1040, 1170, 1248, 1440, 1560, 1872, 2080, 2340, 3120, 3744, 4680, 6240, 9360, 18720} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 16 + 18 + 20 + 24 + 26 + 30 + 32 + 36 + 39 + 40 + 45 + 48 + 52 + 60 + 65 + 72 + 78 + 80 + 90 + 96 + 104 + 117 + 120 + 130 + 144 + 156 + 160 + 180 + 195 + 208 + 234 + 240 + 260 + 288 + 312 + 360 + 390 + 416 + 468 + 480 + 520 + 585 + 624 + 720 + 780 + 936 + 1040 + 1170 + 1248 + 1440 + 1560 + 1872 + 2080 + 2340 + 3120 + 3744 + 4680 + 6240 + 9360 + 18720 = 68796.

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Related Operations for 18720

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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