Factors of 8904
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8904 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8904 ≈ 94.36; 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 25920. Without 8904 itself that is 17016, so 8904 is an abundant number.
LaTeX source of the formulas on this page
\[ 8904 = 2^{3} \times 3 \times 7 \times 53 \]Factor pairs of 8904
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8904 | 1 × 8904 = 8904 |
| 2 | 4452 | 2 × 4452 = 8904 |
| 3 | 2968 | 3 × 2968 = 8904 |
| 4 | 2226 | 4 × 2226 = 8904 |
| 6 | 1484 | 6 × 1484 = 8904 |
| 7 | 1272 | 7 × 1272 = 8904 |
| 8 | 1113 | 8 × 1113 = 8904 |
| 12 | 742 | 12 × 742 = 8904 |
| 14 | 636 | 14 × 636 = 8904 |
| 21 | 424 | 21 × 424 = 8904 |
| 24 | 371 | 24 × 371 = 8904 |
| 28 | 318 | 28 × 318 = 8904 |
| 42 | 212 | 42 × 212 = 8904 |
| 53 | 168 | 53 × 168 = 8904 |
| 56 | 159 | 56 × 159 = 8904 |
| 84 | 106 | 84 × 106 = 8904 |
Questions
What are the factors of 8904?
The factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. It has 32 factors.
What are the prime factors of 8904?
2, 3, 7, 53. As a product: × 3 × 7 × 53.
How many factors does 8904 have?
8904 has 32 factors (16 factor pairs).
What is the sum of the factors of 8904?
25920.
Is 8904 a prime number?
No. It is divisible by 2, so 8904 = 2 × 4452.