Factors of 3588
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3588 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3588 ≈ 59.90; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9408. Without 3588 itself that is 5820, so 3588 is an abundant number.
LaTeX source of the formulas on this page
\[ 3588 = 2^{2} \times 3 \times 13 \times 23 \]Factor pairs of 3588
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3588 | 1 × 3588 = 3588 |
| 2 | 1794 | 2 × 1794 = 3588 |
| 3 | 1196 | 3 × 1196 = 3588 |
| 4 | 897 | 4 × 897 = 3588 |
| 6 | 598 | 6 × 598 = 3588 |
| 12 | 299 | 12 × 299 = 3588 |
| 13 | 276 | 13 × 276 = 3588 |
| 23 | 156 | 23 × 156 = 3588 |
| 26 | 138 | 26 × 138 = 3588 |
| 39 | 92 | 39 × 92 = 3588 |
| 46 | 78 | 46 × 78 = 3588 |
| 52 | 69 | 52 × 69 = 3588 |
Questions
What are the factors of 3588?
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. It has 24 factors.
What are the prime factors of 3588?
2, 3, 13, 23. As a product: × 3 × 13 × 23.
How many factors does 3588 have?
3588 has 24 factors (12 factor pairs).
What is the sum of the factors of 3588?
9408.
Is 3588 a prime number?
No. It is divisible by 2, so 3588 = 2 × 1794.