Factors of 3585
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3585 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3585 ≈ 59.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 5 + 15 + 239 + 717 + 1195 + 3585 = 5760. Without 3585 itself that is 2175, so 3585 is a deficient number.
LaTeX source of the formulas on this page
\[ 3585 = 3 \times 5 \times 239 \]
Factor pairs of 3585
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3585 | 1 × 3585 = 3585 |
| 3 | 1195 | 3 × 1195 = 3585 |
| 5 | 717 | 5 × 717 = 3585 |
| 15 | 239 | 15 × 239 = 3585 |
Questions
What are the factors of 3585?
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. It has 8 factors.
What are the prime factors of 3585?
3, 5, 239. As a product: 3 × 5 × 239.
How many factors does 3585 have?
3585 has 8 factors (4 factor pairs).
What is the sum of the factors of 3585?
5760.
Is 3585 a prime number?
No. It is divisible by 3, so 3585 = 3 × 1195.