Divisors of 42336: All 72 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 42336

The number 42336 has 72 divisors:

1,  2,  3,  4,  6,  7,  8,  9,  12,  14,  16,  18,  21,  24,  27,  28,  32,  36,  42,  48,  49,  54,  56,  63,  72,  84,  96,  98,  108,  112,  126,  144,  147,  168,  189,  196,  216,  224,  252,  288,  294,  336,  378,  392,  432,  441,  504,  588,  672,  756,  784,  864,  882,  1008,  1176,  1323,  1512,  1568,  1764,  2016,  2352,  2646,  3024,  3528,  4704,  5292,  6048,  7056,  10584,  14112,  21168,  42336

Divisor Pairs of 42336

Each pair multiplies to 42336:

Number of Divisors

The number 42336 has 72 divisors, written as τ(42336) = 72 in number theory.

Sum of Divisors

σ(42336) = 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 27 + 28 + 32 + 36 + 42 + 48 + 49 + 54 + 56 + 63 + 72 + 84 + 96 + 98 + 108 + 112 + 126 + 144 + 147 + 168 + 189 + 196 + 216 + 224 + 252 + 288 + 294 + 336 + 378 + 392 + 432 + 441 + 504 + 588 + 672 + 756 + 784 + 864 + 882 + 1008 + 1176 + 1323 + 1512 + 1568 + 1764 + 2016 + 2352 + 2646 + 3024 + 3528 + 4704 + 5292 + 6048 + 7056 + 10584 + 14112 + 21168 + 42336 = 143640

Prime Factorization of 42336

See the full prime factorization calculator →

Properties of 42336

• 42336 is composite.
• 42336 is not a perfect square.
• Number of divisors: 72.
• Sum of divisors: 143640.

Common Divisors with Another Number?

Looking for the divisors that 42336 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 42336

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √42336 ≈ 205.76. If i divides 42336, then both i and 42336/i are divisors.

1. 1 divides 42336 (42336 ÷ 1 = 42336) → pair (1, 42336)
2. 2 divides 42336 (42336 ÷ 2 = 21168) → pair (2, 21168)
3. 3 divides 42336 (42336 ÷ 3 = 14112) → pair (3, 14112)
4. 4 divides 42336 (42336 ÷ 4 = 10584) → pair (4, 10584)
5. 6 divides 42336 (42336 ÷ 6 = 7056) → pair (6, 7056)
6. 7 divides 42336 (42336 ÷ 7 = 6048) → pair (7, 6048)
7. 8 divides 42336 (42336 ÷ 8 = 5292) → pair (8, 5292)
8. 9 divides 42336 (42336 ÷ 9 = 4704) → pair (9, 4704)
9. 12 divides 42336 (42336 ÷ 12 = 3528) → pair (12, 3528)
10. 14 divides 42336 (42336 ÷ 14 = 3024) → pair (14, 3024)
11. 16 divides 42336 (42336 ÷ 16 = 2646) → pair (16, 2646)
12. 18 divides 42336 (42336 ÷ 18 = 2352) → pair (18, 2352)
13. 21 divides 42336 (42336 ÷ 21 = 2016) → pair (21, 2016)
14. 24 divides 42336 (42336 ÷ 24 = 1764) → pair (24, 1764)
15. 27 divides 42336 (42336 ÷ 27 = 1568) → pair (27, 1568)
16. 28 divides 42336 (42336 ÷ 28 = 1512) → pair (28, 1512)
17. 32 divides 42336 (42336 ÷ 32 = 1323) → pair (32, 1323)
18. 36 divides 42336 (42336 ÷ 36 = 1176) → pair (36, 1176)
19. 42 divides 42336 (42336 ÷ 42 = 1008) → pair (42, 1008)
20. 48 divides 42336 (42336 ÷ 48 = 882) → pair (48, 882)
21. 49 divides 42336 (42336 ÷ 49 = 864) → pair (49, 864)
22. 54 divides 42336 (42336 ÷ 54 = 784) → pair (54, 784)
23. 56 divides 42336 (42336 ÷ 56 = 756) → pair (56, 756)
24. 63 divides 42336 (42336 ÷ 63 = 672) → pair (63, 672)
25. 72 divides 42336 (42336 ÷ 72 = 588) → pair (72, 588)
26. 84 divides 42336 (42336 ÷ 84 = 504) → pair (84, 504)
27. 96 divides 42336 (42336 ÷ 96 = 441) → pair (96, 441)
28. 98 divides 42336 (42336 ÷ 98 = 432) → pair (98, 432)
29. 108 divides 42336 (42336 ÷ 108 = 392) → pair (108, 392)
30. 112 divides 42336 (42336 ÷ 112 = 378) → pair (112, 378)
31. 126 divides 42336 (42336 ÷ 126 = 336) → pair (126, 336)
32. 144 divides 42336 (42336 ÷ 144 = 294) → pair (144, 294)
33. 147 divides 42336 (42336 ÷ 147 = 288) → pair (147, 288)
34. 168 divides 42336 (42336 ÷ 168 = 252) → pair (168, 252)
35. 189 divides 42336 (42336 ÷ 189 = 224) → pair (189, 224)
36. 196 divides 42336 (42336 ÷ 196 = 216) → pair (196, 216)
37. Collect all unique values: {1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 49, 54, 56, 63, 72, 84, 96, 98, 108, 112, 126, 144, 147, 168, 189, 196, 216, 224, 252, 288, 294, 336, 378, 392, 432, 441, 504, 588, 672, 756, 784, 864, 882, 1008, 1176, 1323, 1512, 1568, 1764, 2016, 2352, 2646, 3024, 3528, 4704, 5292, 6048, 7056, 10584, 14112, 21168, 42336} — total 72 divisors.
38. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 27 + 28 + 32 + 36 + 42 + 48 + 49 + 54 + 56 + 63 + 72 + 84 + 96 + 98 + 108 + 112 + 126 + 144 + 147 + 168 + 189 + 196 + 216 + 224 + 252 + 288 + 294 + 336 + 378 + 392 + 432 + 441 + 504 + 588 + 672 + 756 + 784 + 864 + 882 + 1008 + 1176 + 1323 + 1512 + 1568 + 1764 + 2016 + 2352 + 2646 + 3024 + 3528 + 4704 + 5292 + 6048 + 7056 + 10584 + 14112 + 21168 + 42336 = 143640.

Nearby Examples

Related Operations for 42336

• Multiples of a Number — "outward" complement of divisors
• 42336 Prime Factorization — decompose into prime building blocks
• Find GCF of 42336 and another number
• Find LCM of 42336 and another number
• Is 42336 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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