Factors of 5904
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5904 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5904 ≈ 76.84; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16926. Without 5904 itself that is 11022, so 5904 is an abundant number.
LaTeX source of the formulas on this page
\[ 5904 = 2^{4} \times 3^{2} \times 41 \]Factor pairs of 5904
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5904 | 1 × 5904 = 5904 |
| 2 | 2952 | 2 × 2952 = 5904 |
| 3 | 1968 | 3 × 1968 = 5904 |
| 4 | 1476 | 4 × 1476 = 5904 |
| 6 | 984 | 6 × 984 = 5904 |
| 8 | 738 | 8 × 738 = 5904 |
| 9 | 656 | 9 × 656 = 5904 |
| 12 | 492 | 12 × 492 = 5904 |
| 16 | 369 | 16 × 369 = 5904 |
| 18 | 328 | 18 × 328 = 5904 |
| 24 | 246 | 24 × 246 = 5904 |
| 36 | 164 | 36 × 164 = 5904 |
| 41 | 144 | 41 × 144 = 5904 |
| 48 | 123 | 48 × 123 = 5904 |
| 72 | 82 | 72 × 82 = 5904 |
Questions
What are the factors of 5904?
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904. It has 30 factors.
What are the prime factors of 5904?
2, 3, 41. As a product: × × 41.
How many factors does 5904 have?
5904 has 30 factors (15 factor pairs).
What is the sum of the factors of 5904?
16926.
Is 5904 a prime number?
No. It is divisible by 2, so 5904 = 2 × 2952.