Factors of 5985
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5985 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5985 ≈ 77.36; 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 12480. Without 5985 itself that is 6495, so 5985 is an abundant number.
LaTeX source of the formulas on this page
\[ 5985 = 3^{2} \times 5 \times 7 \times 19 \]Factor pairs of 5985
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5985 | 1 × 5985 = 5985 |
| 3 | 1995 | 3 × 1995 = 5985 |
| 5 | 1197 | 5 × 1197 = 5985 |
| 7 | 855 | 7 × 855 = 5985 |
| 9 | 665 | 9 × 665 = 5985 |
| 15 | 399 | 15 × 399 = 5985 |
| 19 | 315 | 19 × 315 = 5985 |
| 21 | 285 | 21 × 285 = 5985 |
| 35 | 171 | 35 × 171 = 5985 |
| 45 | 133 | 45 × 133 = 5985 |
| 57 | 105 | 57 × 105 = 5985 |
| 63 | 95 | 63 × 95 = 5985 |
Questions
What are the factors of 5985?
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. It has 24 factors.
What are the prime factors of 5985?
3, 5, 7, 19. As a product: × 5 × 7 × 19.
How many factors does 5985 have?
5985 has 24 factors (12 factor pairs).
What is the sum of the factors of 5985?
12480.
Is 5985 a prime number?
No. It is divisible by 3, so 5985 = 3 × 1995.