Factors of 585
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 585 is a whole number that divides it with nothing left over. You only need to test the numbers up to √585 ≈ 24.19; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 5 + 9 + 13 + 15 + 39 + 45 + 65 + 117 + 195 + 585 = 1092. Without 585 itself that is 507, so 585 is a deficient number.
LaTeX source of the formulas on this page
\[ 585 = 3^{2} \times 5 \times 13 \]Factor pairs of 585
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 585 | 1 × 585 = 585 |
| 3 | 195 | 3 × 195 = 585 |
| 5 | 117 | 5 × 117 = 585 |
| 9 | 65 | 9 × 65 = 585 |
| 13 | 45 | 13 × 45 = 585 |
| 15 | 39 | 15 × 39 = 585 |
Questions
What are the factors of 585?
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. It has 12 factors.
What are the prime factors of 585?
3, 5, 13. As a product: × 5 × 13.
How many factors does 585 have?
585 has 12 factors (6 factor pairs).
What is the sum of the factors of 585?
1092.
Is 585 a prime number?
No. It is divisible by 3, so 585 = 3 × 195.