Divisors of 33264: All 80 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 33264

The number 33264 has 80 divisors:

1,  2,  3,  4,  6,  7,  8,  9,  11,  12,  14,  16,  18,  21,  22,  24,  27,  28,  33,  36,  42,  44,  48,  54,  56,  63,  66,  72,  77,  84,  88,  99,  108,  112,  126,  132,  144,  154,  168,  176,  189,  198,  216,  231,  252,  264,  297,  308,  336,  378,  396,  432,  462,  504,  528,  594,  616,  693,  756,  792,  924,  1008,  1188,  1232,  1386,  1512,  1584,  1848,  2079,  2376,  2772,  3024,  3696,  4158,  4752,  5544,  8316,  11088,  16632,  33264

Divisor Pairs of 33264

Each pair multiplies to 33264:

Number of Divisors

The number 33264 has 80 divisors, written as τ(33264) = 80 in number theory.

Sum of Divisors

σ(33264) = 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 11 + 12 + 14 + 16 + 18 + 21 + 22 + 24 + 27 + 28 + 33 + 36 + 42 + 44 + 48 + 54 + 56 + 63 + 66 + 72 + 77 + 84 + 88 + 99 + 108 + 112 + 126 + 132 + 144 + 154 + 168 + 176 + 189 + 198 + 216 + 231 + 252 + 264 + 297 + 308 + 336 + 378 + 396 + 432 + 462 + 504 + 528 + 594 + 616 + 693 + 756 + 792 + 924 + 1008 + 1188 + 1232 + 1386 + 1512 + 1584 + 1848 + 2079 + 2376 + 2772 + 3024 + 3696 + 4158 + 4752 + 5544 + 8316 + 11088 + 16632 + 33264 = 119040

Prime Factorization of 33264

See the full prime factorization calculator →

Properties of 33264

• 33264 is composite.
• 33264 is not a perfect square.
• Number of divisors: 80.
• Sum of divisors: 119040.

Common Divisors with Another Number?

Looking for the divisors that 33264 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 33264

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33264 ≈ 182.38. If i divides 33264, then both i and 33264/i are divisors.

1. 1 divides 33264 (33264 ÷ 1 = 33264) → pair (1, 33264)
2. 2 divides 33264 (33264 ÷ 2 = 16632) → pair (2, 16632)
3. 3 divides 33264 (33264 ÷ 3 = 11088) → pair (3, 11088)
4. 4 divides 33264 (33264 ÷ 4 = 8316) → pair (4, 8316)
5. 6 divides 33264 (33264 ÷ 6 = 5544) → pair (6, 5544)
6. 7 divides 33264 (33264 ÷ 7 = 4752) → pair (7, 4752)
7. 8 divides 33264 (33264 ÷ 8 = 4158) → pair (8, 4158)
8. 9 divides 33264 (33264 ÷ 9 = 3696) → pair (9, 3696)
9. 11 divides 33264 (33264 ÷ 11 = 3024) → pair (11, 3024)
10. 12 divides 33264 (33264 ÷ 12 = 2772) → pair (12, 2772)
11. 14 divides 33264 (33264 ÷ 14 = 2376) → pair (14, 2376)
12. 16 divides 33264 (33264 ÷ 16 = 2079) → pair (16, 2079)
13. 18 divides 33264 (33264 ÷ 18 = 1848) → pair (18, 1848)
14. 21 divides 33264 (33264 ÷ 21 = 1584) → pair (21, 1584)
15. 22 divides 33264 (33264 ÷ 22 = 1512) → pair (22, 1512)
16. 24 divides 33264 (33264 ÷ 24 = 1386) → pair (24, 1386)
17. 27 divides 33264 (33264 ÷ 27 = 1232) → pair (27, 1232)
18. 28 divides 33264 (33264 ÷ 28 = 1188) → pair (28, 1188)
19. 33 divides 33264 (33264 ÷ 33 = 1008) → pair (33, 1008)
20. 36 divides 33264 (33264 ÷ 36 = 924) → pair (36, 924)
21. 42 divides 33264 (33264 ÷ 42 = 792) → pair (42, 792)
22. 44 divides 33264 (33264 ÷ 44 = 756) → pair (44, 756)
23. 48 divides 33264 (33264 ÷ 48 = 693) → pair (48, 693)
24. 54 divides 33264 (33264 ÷ 54 = 616) → pair (54, 616)
25. 56 divides 33264 (33264 ÷ 56 = 594) → pair (56, 594)
26. 63 divides 33264 (33264 ÷ 63 = 528) → pair (63, 528)
27. 66 divides 33264 (33264 ÷ 66 = 504) → pair (66, 504)
28. 72 divides 33264 (33264 ÷ 72 = 462) → pair (72, 462)
29. 77 divides 33264 (33264 ÷ 77 = 432) → pair (77, 432)
30. 84 divides 33264 (33264 ÷ 84 = 396) → pair (84, 396)
31. 88 divides 33264 (33264 ÷ 88 = 378) → pair (88, 378)
32. 99 divides 33264 (33264 ÷ 99 = 336) → pair (99, 336)
33. 108 divides 33264 (33264 ÷ 108 = 308) → pair (108, 308)
34. 112 divides 33264 (33264 ÷ 112 = 297) → pair (112, 297)
35. 126 divides 33264 (33264 ÷ 126 = 264) → pair (126, 264)
36. 132 divides 33264 (33264 ÷ 132 = 252) → pair (132, 252)
37. 144 divides 33264 (33264 ÷ 144 = 231) → pair (144, 231)
38. 154 divides 33264 (33264 ÷ 154 = 216) → pair (154, 216)
39. 168 divides 33264 (33264 ÷ 168 = 198) → pair (168, 198)
40. 176 divides 33264 (33264 ÷ 176 = 189) → pair (176, 189)
41. Collect all unique values: {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 48, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 112, 126, 132, 144, 154, 168, 176, 189, 198, 216, 231, 252, 264, 297, 308, 336, 378, 396, 432, 462, 504, 528, 594, 616, 693, 756, 792, 924, 1008, 1188, 1232, 1386, 1512, 1584, 1848, 2079, 2376, 2772, 3024, 3696, 4158, 4752, 5544, 8316, 11088, 16632, 33264} — total 80 divisors.
42. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 11 + 12 + 14 + 16 + 18 + 21 + 22 + 24 + 27 + 28 + 33 + 36 + 42 + 44 + 48 + 54 + 56 + 63 + 66 + 72 + 77 + 84 + 88 + 99 + 108 + 112 + 126 + 132 + 144 + 154 + 168 + 176 + 189 + 198 + 216 + 231 + 252 + 264 + 297 + 308 + 336 + 378 + 396 + 432 + 462 + 504 + 528 + 594 + 616 + 693 + 756 + 792 + 924 + 1008 + 1188 + 1232 + 1386 + 1512 + 1584 + 1848 + 2079 + 2376 + 2772 + 3024 + 3696 + 4158 + 4752 + 5544 + 8316 + 11088 + 16632 + 33264 = 119040.

Nearby Examples

Related Operations for 33264

• Multiples of a Number — "outward" complement of divisors
• 33264 Prime Factorization — decompose into prime building blocks
• Find GCF of 33264 and another number
• Find LCM of 33264 and another number
• Is 33264 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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