Divisors of 32760: All 96 Factors

Divisors (Factors) Calculator

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 32760

The number 32760 has 96 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  13,  14,  15,  18,  20,  21,  24,  26,  28,  30,  35,  36,  39,  40,  42,  45,  52,  56,  60,  63,  65,  70,  72,  78,  84,  90,  91,  104,  105,  117,  120,  126,  130,  140,  156,  168,  180,  182,  195,  210,  234,  252,  260,  273,  280,  312,  315,  360,  364,  390,  420,  455,  468,  504,  520,  546,  585,  630,  728,  780,  819,  840,  910,  936,  1092,  1170,  1260,  1365,  1560,  1638,  1820,  2184,  2340,  2520,  2730,  3276,  3640,  4095,  4680,  5460,  6552,  8190,  10920,  16380,  32760

Divisor Pairs of 32760

Each pair multiplies to 32760:

Number of Divisors

The number 32760 has 96 divisors, written as τ(32760) = 96 in number theory.

Sum of Divisors

σ(32760) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 13 + 14 + 15 + 18 + 20 + 21 + 24 + 26 + 28 + 30 + 35 + 36 + 39 + 40 + 42 + 45 + 52 + 56 + 60 + 63 + 65 + 70 + 72 + 78 + 84 + 90 + 91 + 104 + 105 + 117 + 120 + 126 + 130 + 140 + 156 + 168 + 180 + 182 + 195 + 210 + 234 + 252 + 260 + 273 + 280 + 312 + 315 + 360 + 364 + 390 + 420 + 455 + 468 + 504 + 520 + 546 + 585 + 630 + 728 + 780 + 819 + 840 + 910 + 936 + 1092 + 1170 + 1260 + 1365 + 1560 + 1638 + 1820 + 2184 + 2340 + 2520 + 2730 + 3276 + 3640 + 4095 + 4680 + 5460 + 6552 + 8190 + 10920 + 16380 + 32760 = 131040

Prime Factorization of 32760

See the full prime factorization calculator →

Properties of 32760

• 32760 is composite.
• 32760 is not a perfect square.
• Number of divisors: 96.
• Sum of divisors: 131040.

Common Divisors with Another Number?

Looking for the divisors that 32760 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 32760

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √32760 ≈ 181.00. If i divides 32760, then both i and 32760/i are divisors.

1. 1 divides 32760 (32760 ÷ 1 = 32760) → pair (1, 32760)
2. 2 divides 32760 (32760 ÷ 2 = 16380) → pair (2, 16380)
3. 3 divides 32760 (32760 ÷ 3 = 10920) → pair (3, 10920)
4. 4 divides 32760 (32760 ÷ 4 = 8190) → pair (4, 8190)
5. 5 divides 32760 (32760 ÷ 5 = 6552) → pair (5, 6552)
6. 6 divides 32760 (32760 ÷ 6 = 5460) → pair (6, 5460)
7. 7 divides 32760 (32760 ÷ 7 = 4680) → pair (7, 4680)
8. 8 divides 32760 (32760 ÷ 8 = 4095) → pair (8, 4095)
9. 9 divides 32760 (32760 ÷ 9 = 3640) → pair (9, 3640)
10. 10 divides 32760 (32760 ÷ 10 = 3276) → pair (10, 3276)
11. 12 divides 32760 (32760 ÷ 12 = 2730) → pair (12, 2730)
12. 13 divides 32760 (32760 ÷ 13 = 2520) → pair (13, 2520)
13. 14 divides 32760 (32760 ÷ 14 = 2340) → pair (14, 2340)
14. 15 divides 32760 (32760 ÷ 15 = 2184) → pair (15, 2184)
15. 18 divides 32760 (32760 ÷ 18 = 1820) → pair (18, 1820)
16. 20 divides 32760 (32760 ÷ 20 = 1638) → pair (20, 1638)
17. 21 divides 32760 (32760 ÷ 21 = 1560) → pair (21, 1560)
18. 24 divides 32760 (32760 ÷ 24 = 1365) → pair (24, 1365)
19. 26 divides 32760 (32760 ÷ 26 = 1260) → pair (26, 1260)
20. 28 divides 32760 (32760 ÷ 28 = 1170) → pair (28, 1170)
21. 30 divides 32760 (32760 ÷ 30 = 1092) → pair (30, 1092)
22. 35 divides 32760 (32760 ÷ 35 = 936) → pair (35, 936)
23. 36 divides 32760 (32760 ÷ 36 = 910) → pair (36, 910)
24. 39 divides 32760 (32760 ÷ 39 = 840) → pair (39, 840)
25. 40 divides 32760 (32760 ÷ 40 = 819) → pair (40, 819)
26. 42 divides 32760 (32760 ÷ 42 = 780) → pair (42, 780)
27. 45 divides 32760 (32760 ÷ 45 = 728) → pair (45, 728)
28. 52 divides 32760 (32760 ÷ 52 = 630) → pair (52, 630)
29. 56 divides 32760 (32760 ÷ 56 = 585) → pair (56, 585)
30. 60 divides 32760 (32760 ÷ 60 = 546) → pair (60, 546)
31. 63 divides 32760 (32760 ÷ 63 = 520) → pair (63, 520)
32. 65 divides 32760 (32760 ÷ 65 = 504) → pair (65, 504)
33. 70 divides 32760 (32760 ÷ 70 = 468) → pair (70, 468)
34. 72 divides 32760 (32760 ÷ 72 = 455) → pair (72, 455)
35. 78 divides 32760 (32760 ÷ 78 = 420) → pair (78, 420)
36. 84 divides 32760 (32760 ÷ 84 = 390) → pair (84, 390)
37. 90 divides 32760 (32760 ÷ 90 = 364) → pair (90, 364)
38. 91 divides 32760 (32760 ÷ 91 = 360) → pair (91, 360)
39. 104 divides 32760 (32760 ÷ 104 = 315) → pair (104, 315)
40. 105 divides 32760 (32760 ÷ 105 = 312) → pair (105, 312)
41. 117 divides 32760 (32760 ÷ 117 = 280) → pair (117, 280)
42. 120 divides 32760 (32760 ÷ 120 = 273) → pair (120, 273)
43. 126 divides 32760 (32760 ÷ 126 = 260) → pair (126, 260)
44. 130 divides 32760 (32760 ÷ 130 = 252) → pair (130, 252)
45. 140 divides 32760 (32760 ÷ 140 = 234) → pair (140, 234)
46. 156 divides 32760 (32760 ÷ 156 = 210) → pair (156, 210)
47. 168 divides 32760 (32760 ÷ 168 = 195) → pair (168, 195)
48. 180 divides 32760 (32760 ÷ 180 = 182) → pair (180, 182)
49. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 24, 26, 28, 30, 35, 36, 39, 40, 42, 45, 52, 56, 60, 63, 65, 70, 72, 78, 84, 90, 91, 104, 105, 117, 120, 126, 130, 140, 156, 168, 180, 182, 195, 210, 234, 252, 260, 273, 280, 312, 315, 360, 364, 390, 420, 455, 468, 504, 520, 546, 585, 630, 728, 780, 819, 840, 910, 936, 1092, 1170, 1260, 1365, 1560, 1638, 1820, 2184, 2340, 2520, 2730, 3276, 3640, 4095, 4680, 5460, 6552, 8190, 10920, 16380, 32760} — total 96 divisors.
50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 13 + 14 + 15 + 18 + 20 + 21 + 24 + 26 + 28 + 30 + 35 + 36 + 39 + 40 + 42 + 45 + 52 + 56 + 60 + 63 + 65 + 70 + 72 + 78 + 84 + 90 + 91 + 104 + 105 + 117 + 120 + 126 + 130 + 140 + 156 + 168 + 180 + 182 + 195 + 210 + 234 + 252 + 260 + 273 + 280 + 312 + 315 + 360 + 364 + 390 + 420 + 455 + 468 + 504 + 520 + 546 + 585 + 630 + 728 + 780 + 819 + 840 + 910 + 936 + 1092 + 1170 + 1260 + 1365 + 1560 + 1638 + 1820 + 2184 + 2340 + 2520 + 2730 + 3276 + 3640 + 4095 + 4680 + 5460 + 6552 + 8190 + 10920 + 16380 + 32760 = 131040.

Nearby Examples

Related Operations for 32760

• Multiples of a Number — "outward" complement of divisors
• 32760 Prime Factorization — decompose into prime building blocks
• Find GCF of 32760 and another number
• Find LCM of 32760 and another number
• Is 32760 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

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

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

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