Divisors of 32340: All 72 Factors

Quick Answer

32340 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 49, 55, 60, 66, 70, 77, 84, 98, 105, 110, 132, 140, 147, 154, 165, 196, 210, 220, 231, 245, 294, 308, 330, 385, 420, 462, 490, 539, 588, 660, 735, 770, 924, 980, 1078, 1155, 1470, 1540, 1617, 2156, 2310, 2695, 2940, 3234, 4620, 5390, 6468, 8085, 10780, 16170, 32340.

Sum: 114912.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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72 divisors
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 49, 55, 60, 66, 70, 77, 84, 98, 105, 110, 132, 140, 147, 154, 165, 196, 210, 220, 231, 245, 294, 308, 330, 385, 420, 462, 490, 539, 588, 660, 735, 770, 924, 980, 1078, 1155, 1470, 1540, 1617, 2156, 2310, 2695, 2940, 3234, 4620, 5390, 6468, 8085, 10780, 16170, 32340

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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 32340

The number 32340 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  11,  12,  14,  15,  20,  21,  22,  28,  30,  33,  35,  42,  44,  49,  55,  60,  66,  70,  77,  84,  98,  105,  110,  132,  140,  147,  154,  165,  196,  210,  220,  231,  245,  294,  308,  330,  385,  420,  462,  490,  539,  588,  660,  735,  770,  924,  980,  1078,  1155,  1470,  1540,  1617,  2156,  2310,  2695,  2940,  3234,  4620,  5390,  6468,  8085,  10780,  16170,  32340

Divisor Pairs of 32340

Each pair multiplies to 32340:

Factor 1×Factor 2=Product
1×32340=32340
2×16170=32340
3×10780=32340
4×8085=32340
5×6468=32340
6×5390=32340
7×4620=32340
10×3234=32340
11×2940=32340
12×2695=32340
14×2310=32340
15×2156=32340
20×1617=32340
21×1540=32340
22×1470=32340
28×1155=32340
30×1078=32340
33×980=32340
35×924=32340
42×770=32340
44×735=32340
49×660=32340
55×588=32340
60×539=32340
66×490=32340
70×462=32340
77×420=32340
84×385=32340
98×330=32340
105×308=32340
110×294=32340
132×245=32340
140×231=32340
147×220=32340
154×210=32340
165×196=32340

Number of Divisors

The number 32340 has 72 divisors, written as τ(32340) = 72 in number theory.

Sum of Divisors

σ(32340) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 11 + 12 + 14 + 15 + 20 + 21 + 22 + 28 + 30 + 33 + 35 + 42 + 44 + 49 + 55 + 60 + 66 + 70 + 77 + 84 + 98 + 105 + 110 + 132 + 140 + 147 + 154 + 165 + 196 + 210 + 220 + 231 + 245 + 294 + 308 + 330 + 385 + 420 + 462 + 490 + 539 + 588 + 660 + 735 + 770 + 924 + 980 + 1078 + 1155 + 1470 + 1540 + 1617 + 2156 + 2310 + 2695 + 2940 + 3234 + 4620 + 5390 + 6468 + 8085 + 10780 + 16170 + 32340 = 114912

Prime Factorization of 32340

See the full prime factorization calculator →

Properties of 32340

  • 32340 is composite.
  • 32340 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 114912.

Common Divisors with Another Number?

Looking for the divisors that 32340 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 32340

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √32340 ≈ 179.83. If i divides 32340, then both i and 32340/i are divisors.

  1. 1 divides 32340 (32340 ÷ 1 = 32340) → pair (1, 32340)
  2. 2 divides 32340 (32340 ÷ 2 = 16170) → pair (2, 16170)
  3. 3 divides 32340 (32340 ÷ 3 = 10780) → pair (3, 10780)
  4. 4 divides 32340 (32340 ÷ 4 = 8085) → pair (4, 8085)
  5. 5 divides 32340 (32340 ÷ 5 = 6468) → pair (5, 6468)
  6. 6 divides 32340 (32340 ÷ 6 = 5390) → pair (6, 5390)
  7. 7 divides 32340 (32340 ÷ 7 = 4620) → pair (7, 4620)
  8. 10 divides 32340 (32340 ÷ 10 = 3234) → pair (10, 3234)
  9. 11 divides 32340 (32340 ÷ 11 = 2940) → pair (11, 2940)
  10. 12 divides 32340 (32340 ÷ 12 = 2695) → pair (12, 2695)
  11. 14 divides 32340 (32340 ÷ 14 = 2310) → pair (14, 2310)
  12. 15 divides 32340 (32340 ÷ 15 = 2156) → pair (15, 2156)
  13. 20 divides 32340 (32340 ÷ 20 = 1617) → pair (20, 1617)
  14. 21 divides 32340 (32340 ÷ 21 = 1540) → pair (21, 1540)
  15. 22 divides 32340 (32340 ÷ 22 = 1470) → pair (22, 1470)
  16. 28 divides 32340 (32340 ÷ 28 = 1155) → pair (28, 1155)
  17. 30 divides 32340 (32340 ÷ 30 = 1078) → pair (30, 1078)
  18. 33 divides 32340 (32340 ÷ 33 = 980) → pair (33, 980)
  19. 35 divides 32340 (32340 ÷ 35 = 924) → pair (35, 924)
  20. 42 divides 32340 (32340 ÷ 42 = 770) → pair (42, 770)
  21. 44 divides 32340 (32340 ÷ 44 = 735) → pair (44, 735)
  22. 49 divides 32340 (32340 ÷ 49 = 660) → pair (49, 660)
  23. 55 divides 32340 (32340 ÷ 55 = 588) → pair (55, 588)
  24. 60 divides 32340 (32340 ÷ 60 = 539) → pair (60, 539)
  25. 66 divides 32340 (32340 ÷ 66 = 490) → pair (66, 490)
  26. 70 divides 32340 (32340 ÷ 70 = 462) → pair (70, 462)
  27. 77 divides 32340 (32340 ÷ 77 = 420) → pair (77, 420)
  28. 84 divides 32340 (32340 ÷ 84 = 385) → pair (84, 385)
  29. 98 divides 32340 (32340 ÷ 98 = 330) → pair (98, 330)
  30. 105 divides 32340 (32340 ÷ 105 = 308) → pair (105, 308)
  31. 110 divides 32340 (32340 ÷ 110 = 294) → pair (110, 294)
  32. 132 divides 32340 (32340 ÷ 132 = 245) → pair (132, 245)
  33. 140 divides 32340 (32340 ÷ 140 = 231) → pair (140, 231)
  34. 147 divides 32340 (32340 ÷ 147 = 220) → pair (147, 220)
  35. 154 divides 32340 (32340 ÷ 154 = 210) → pair (154, 210)
  36. 165 divides 32340 (32340 ÷ 165 = 196) → pair (165, 196)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 49, 55, 60, 66, 70, 77, 84, 98, 105, 110, 132, 140, 147, 154, 165, 196, 210, 220, 231, 245, 294, 308, 330, 385, 420, 462, 490, 539, 588, 660, 735, 770, 924, 980, 1078, 1155, 1470, 1540, 1617, 2156, 2310, 2695, 2940, 3234, 4620, 5390, 6468, 8085, 10780, 16170, 32340} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 11 + 12 + 14 + 15 + 20 + 21 + 22 + 28 + 30 + 33 + 35 + 42 + 44 + 49 + 55 + 60 + 66 + 70 + 77 + 84 + 98 + 105 + 110 + 132 + 140 + 147 + 154 + 165 + 196 + 210 + 220 + 231 + 245 + 294 + 308 + 330 + 385 + 420 + 462 + 490 + 539 + 588 + 660 + 735 + 770 + 924 + 980 + 1078 + 1155 + 1470 + 1540 + 1617 + 2156 + 2310 + 2695 + 2940 + 3234 + 4620 + 5390 + 6468 + 8085 + 10780 + 16170 + 32340 = 114912.

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Related Operations for 32340

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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