Factors of 5304
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5304 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5304 ≈ 72.83; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 15120. Without 5304 itself that is 9816, so 5304 is an abundant number.
LaTeX source of the formulas on this page
\[ 5304 = 2^{3} \times 3 \times 13 \times 17 \]Factor pairs of 5304
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5304 | 1 × 5304 = 5304 |
| 2 | 2652 | 2 × 2652 = 5304 |
| 3 | 1768 | 3 × 1768 = 5304 |
| 4 | 1326 | 4 × 1326 = 5304 |
| 6 | 884 | 6 × 884 = 5304 |
| 8 | 663 | 8 × 663 = 5304 |
| 12 | 442 | 12 × 442 = 5304 |
| 13 | 408 | 13 × 408 = 5304 |
| 17 | 312 | 17 × 312 = 5304 |
| 24 | 221 | 24 × 221 = 5304 |
| 26 | 204 | 26 × 204 = 5304 |
| 34 | 156 | 34 × 156 = 5304 |
| 39 | 136 | 39 × 136 = 5304 |
| 51 | 104 | 51 × 104 = 5304 |
| 52 | 102 | 52 × 102 = 5304 |
| 68 | 78 | 68 × 78 = 5304 |
Questions
What are the factors of 5304?
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. It has 32 factors.
What are the prime factors of 5304?
2, 3, 13, 17. As a product: × 3 × 13 × 17.
How many factors does 5304 have?
5304 has 32 factors (16 factor pairs).
What is the sum of the factors of 5304?
15120.
Is 5304 a prime number?
No. It is divisible by 2, so 5304 = 2 × 2652.