Divisors of 36720: All 80 Factors

Quick Answer

36720 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 102, 108, 120, 135, 136, 144, 153, 170, 180, 204, 216, 240, 255, 270, 272, 306, 340, 360, 408, 432, 459, 510, 540, 612, 680, 720, 765, 816, 918, 1020, 1080, 1224, 1360, 1530, 1836, 2040, 2160, 2295, 2448, 3060, 3672, 4080, 4590, 6120, 7344, 9180, 12240, 18360, 36720.

Sum: 133920.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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80 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 102, 108, 120, 135, 136, 144, 153, 170, 180, 204, 216, 240, 255, 270, 272, 306, 340, 360, 408, 432, 459, 510, 540, 612, 680, 720, 765, 816, 918, 1020, 1080, 1224, 1360, 1530, 1836, 2040, 2160, 2295, 2448, 3060, 3672, 4080, 4590, 6120, 7344, 9180, 12240, 18360, 36720

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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 36720

The number 36720 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  17,  18,  20,  24,  27,  30,  34,  36,  40,  45,  48,  51,  54,  60,  68,  72,  80,  85,  90,  102,  108,  120,  135,  136,  144,  153,  170,  180,  204,  216,  240,  255,  270,  272,  306,  340,  360,  408,  432,  459,  510,  540,  612,  680,  720,  765,  816,  918,  1020,  1080,  1224,  1360,  1530,  1836,  2040,  2160,  2295,  2448,  3060,  3672,  4080,  4590,  6120,  7344,  9180,  12240,  18360,  36720

Divisor Pairs of 36720

Each pair multiplies to 36720:

Factor 1×Factor 2=Product
1×36720=36720
2×18360=36720
3×12240=36720
4×9180=36720
5×7344=36720
6×6120=36720
8×4590=36720
9×4080=36720
10×3672=36720
12×3060=36720
15×2448=36720
16×2295=36720
17×2160=36720
18×2040=36720
20×1836=36720
24×1530=36720
27×1360=36720
30×1224=36720
34×1080=36720
36×1020=36720
40×918=36720
45×816=36720
48×765=36720
51×720=36720
54×680=36720
60×612=36720
68×540=36720
72×510=36720
80×459=36720
85×432=36720
90×408=36720
102×360=36720
108×340=36720
120×306=36720
135×272=36720
136×270=36720
144×255=36720
153×240=36720
170×216=36720
180×204=36720

Number of Divisors

The number 36720 has 80 divisors, written as τ(36720) = 80 in number theory.

Sum of Divisors

σ(36720) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 17 + 18 + 20 + 24 + 27 + 30 + 34 + 36 + 40 + 45 + 48 + 51 + 54 + 60 + 68 + 72 + 80 + 85 + 90 + 102 + 108 + 120 + 135 + 136 + 144 + 153 + 170 + 180 + 204 + 216 + 240 + 255 + 270 + 272 + 306 + 340 + 360 + 408 + 432 + 459 + 510 + 540 + 612 + 680 + 720 + 765 + 816 + 918 + 1020 + 1080 + 1224 + 1360 + 1530 + 1836 + 2040 + 2160 + 2295 + 2448 + 3060 + 3672 + 4080 + 4590 + 6120 + 7344 + 9180 + 12240 + 18360 + 36720 = 133920

Prime Factorization of 36720

See the full prime factorization calculator →

Properties of 36720

  • 36720 is composite.
  • 36720 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 133920.

Common Divisors with Another Number?

Looking for the divisors that 36720 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 36720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √36720 ≈ 191.62. If i divides 36720, then both i and 36720/i are divisors.

  1. 1 divides 36720 (36720 ÷ 1 = 36720) → pair (1, 36720)
  2. 2 divides 36720 (36720 ÷ 2 = 18360) → pair (2, 18360)
  3. 3 divides 36720 (36720 ÷ 3 = 12240) → pair (3, 12240)
  4. 4 divides 36720 (36720 ÷ 4 = 9180) → pair (4, 9180)
  5. 5 divides 36720 (36720 ÷ 5 = 7344) → pair (5, 7344)
  6. 6 divides 36720 (36720 ÷ 6 = 6120) → pair (6, 6120)
  7. 8 divides 36720 (36720 ÷ 8 = 4590) → pair (8, 4590)
  8. 9 divides 36720 (36720 ÷ 9 = 4080) → pair (9, 4080)
  9. 10 divides 36720 (36720 ÷ 10 = 3672) → pair (10, 3672)
  10. 12 divides 36720 (36720 ÷ 12 = 3060) → pair (12, 3060)
  11. 15 divides 36720 (36720 ÷ 15 = 2448) → pair (15, 2448)
  12. 16 divides 36720 (36720 ÷ 16 = 2295) → pair (16, 2295)
  13. 17 divides 36720 (36720 ÷ 17 = 2160) → pair (17, 2160)
  14. 18 divides 36720 (36720 ÷ 18 = 2040) → pair (18, 2040)
  15. 20 divides 36720 (36720 ÷ 20 = 1836) → pair (20, 1836)
  16. 24 divides 36720 (36720 ÷ 24 = 1530) → pair (24, 1530)
  17. 27 divides 36720 (36720 ÷ 27 = 1360) → pair (27, 1360)
  18. 30 divides 36720 (36720 ÷ 30 = 1224) → pair (30, 1224)
  19. 34 divides 36720 (36720 ÷ 34 = 1080) → pair (34, 1080)
  20. 36 divides 36720 (36720 ÷ 36 = 1020) → pair (36, 1020)
  21. 40 divides 36720 (36720 ÷ 40 = 918) → pair (40, 918)
  22. 45 divides 36720 (36720 ÷ 45 = 816) → pair (45, 816)
  23. 48 divides 36720 (36720 ÷ 48 = 765) → pair (48, 765)
  24. 51 divides 36720 (36720 ÷ 51 = 720) → pair (51, 720)
  25. 54 divides 36720 (36720 ÷ 54 = 680) → pair (54, 680)
  26. 60 divides 36720 (36720 ÷ 60 = 612) → pair (60, 612)
  27. 68 divides 36720 (36720 ÷ 68 = 540) → pair (68, 540)
  28. 72 divides 36720 (36720 ÷ 72 = 510) → pair (72, 510)
  29. 80 divides 36720 (36720 ÷ 80 = 459) → pair (80, 459)
  30. 85 divides 36720 (36720 ÷ 85 = 432) → pair (85, 432)
  31. 90 divides 36720 (36720 ÷ 90 = 408) → pair (90, 408)
  32. 102 divides 36720 (36720 ÷ 102 = 360) → pair (102, 360)
  33. 108 divides 36720 (36720 ÷ 108 = 340) → pair (108, 340)
  34. 120 divides 36720 (36720 ÷ 120 = 306) → pair (120, 306)
  35. 135 divides 36720 (36720 ÷ 135 = 272) → pair (135, 272)
  36. 136 divides 36720 (36720 ÷ 136 = 270) → pair (136, 270)
  37. 144 divides 36720 (36720 ÷ 144 = 255) → pair (144, 255)
  38. 153 divides 36720 (36720 ÷ 153 = 240) → pair (153, 240)
  39. 170 divides 36720 (36720 ÷ 170 = 216) → pair (170, 216)
  40. 180 divides 36720 (36720 ÷ 180 = 204) → pair (180, 204)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 48, 51, 54, 60, 68, 72, 80, 85, 90, 102, 108, 120, 135, 136, 144, 153, 170, 180, 204, 216, 240, 255, 270, 272, 306, 340, 360, 408, 432, 459, 510, 540, 612, 680, 720, 765, 816, 918, 1020, 1080, 1224, 1360, 1530, 1836, 2040, 2160, 2295, 2448, 3060, 3672, 4080, 4590, 6120, 7344, 9180, 12240, 18360, 36720} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 17 + 18 + 20 + 24 + 27 + 30 + 34 + 36 + 40 + 45 + 48 + 51 + 54 + 60 + 68 + 72 + 80 + 85 + 90 + 102 + 108 + 120 + 135 + 136 + 144 + 153 + 170 + 180 + 204 + 216 + 240 + 255 + 270 + 272 + 306 + 340 + 360 + 408 + 432 + 459 + 510 + 540 + 612 + 680 + 720 + 765 + 816 + 918 + 1020 + 1080 + 1224 + 1360 + 1530 + 1836 + 2040 + 2160 + 2295 + 2448 + 3060 + 3672 + 4080 + 4590 + 6120 + 7344 + 9180 + 12240 + 18360 + 36720 = 133920.

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Related Operations for 36720

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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