Factors of 9504
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9504 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9504 ≈ 97.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 30240. Without 9504 itself that is 20736, so 9504 is an abundant number.
LaTeX source of the formulas on this page
\[ 9504 = 2^{5} \times 3^{3} \times 11 \]Factor pairs of 9504
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9504 | 1 × 9504 = 9504 |
| 2 | 4752 | 2 × 4752 = 9504 |
| 3 | 3168 | 3 × 3168 = 9504 |
| 4 | 2376 | 4 × 2376 = 9504 |
| 6 | 1584 | 6 × 1584 = 9504 |
| 8 | 1188 | 8 × 1188 = 9504 |
| 9 | 1056 | 9 × 1056 = 9504 |
| 11 | 864 | 11 × 864 = 9504 |
| 12 | 792 | 12 × 792 = 9504 |
| 16 | 594 | 16 × 594 = 9504 |
| 18 | 528 | 18 × 528 = 9504 |
| 22 | 432 | 22 × 432 = 9504 |
| 24 | 396 | 24 × 396 = 9504 |
| 27 | 352 | 27 × 352 = 9504 |
| 32 | 297 | 32 × 297 = 9504 |
| 33 | 288 | 33 × 288 = 9504 |
| 36 | 264 | 36 × 264 = 9504 |
| 44 | 216 | 44 × 216 = 9504 |
| 48 | 198 | 48 × 198 = 9504 |
| 54 | 176 | 54 × 176 = 9504 |
| 66 | 144 | 66 × 144 = 9504 |
| 72 | 132 | 72 × 132 = 9504 |
| 88 | 108 | 88 × 108 = 9504 |
| 96 | 99 | 96 × 99 = 9504 |
Questions
What are the factors of 9504?
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504. It has 48 factors.
What are the prime factors of 9504?
2, 3, 11. As a product: × × 11.
How many factors does 9504 have?
9504 has 48 factors (24 factor pairs).
What is the sum of the factors of 9504?
30240.
Is 9504 a prime number?
No. It is divisible by 2, so 9504 = 2 × 4752.