Factors of 3264
The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3264 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3264 ≈ 57.13; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9144. Without 3264 itself that is 5880, so 3264 is an abundant number.
LaTeX source of the formulas on this page
\[ 3264 = 2^{6} \times 3 \times 17 \]Factor pairs of 3264
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3264 | 1 × 3264 = 3264 |
| 2 | 1632 | 2 × 1632 = 3264 |
| 3 | 1088 | 3 × 1088 = 3264 |
| 4 | 816 | 4 × 816 = 3264 |
| 6 | 544 | 6 × 544 = 3264 |
| 8 | 408 | 8 × 408 = 3264 |
| 12 | 272 | 12 × 272 = 3264 |
| 16 | 204 | 16 × 204 = 3264 |
| 17 | 192 | 17 × 192 = 3264 |
| 24 | 136 | 24 × 136 = 3264 |
| 32 | 102 | 32 × 102 = 3264 |
| 34 | 96 | 34 × 96 = 3264 |
| 48 | 68 | 48 × 68 = 3264 |
| 51 | 64 | 51 × 64 = 3264 |
Questions
What are the factors of 3264?
The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264. It has 28 factors.
What are the prime factors of 3264?
2, 3, 17. As a product: × 3 × 17.
How many factors does 3264 have?
3264 has 28 factors (14 factor pairs).
What is the sum of the factors of 3264?
9144.
Is 3264 a prime number?
No. It is divisible by 2, so 3264 = 2 × 1632.