Factors of 8976
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8976 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8976 ≈ 94.74; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 26784. Without 8976 itself that is 17808, so 8976 is an abundant number.
LaTeX source of the formulas on this page
\[ 8976 = 2^{4} \times 3 \times 11 \times 17 \]Factor pairs of 8976
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8976 | 1 × 8976 = 8976 |
| 2 | 4488 | 2 × 4488 = 8976 |
| 3 | 2992 | 3 × 2992 = 8976 |
| 4 | 2244 | 4 × 2244 = 8976 |
| 6 | 1496 | 6 × 1496 = 8976 |
| 8 | 1122 | 8 × 1122 = 8976 |
| 11 | 816 | 11 × 816 = 8976 |
| 12 | 748 | 12 × 748 = 8976 |
| 16 | 561 | 16 × 561 = 8976 |
| 17 | 528 | 17 × 528 = 8976 |
| 22 | 408 | 22 × 408 = 8976 |
| 24 | 374 | 24 × 374 = 8976 |
| 33 | 272 | 33 × 272 = 8976 |
| 34 | 264 | 34 × 264 = 8976 |
| 44 | 204 | 44 × 204 = 8976 |
| 48 | 187 | 48 × 187 = 8976 |
| 51 | 176 | 51 × 176 = 8976 |
| 66 | 136 | 66 × 136 = 8976 |
| 68 | 132 | 68 × 132 = 8976 |
| 88 | 102 | 88 × 102 = 8976 |
Questions
What are the factors of 8976?
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976. It has 40 factors.
What are the prime factors of 8976?
2, 3, 11, 17. As a product: × 3 × 11 × 17.
How many factors does 8976 have?
8976 has 40 factors (20 factor pairs).
What is the sum of the factors of 8976?
26784.
Is 8976 a prime number?
No. It is divisible by 2, so 8976 = 2 × 4488.