Factors of 315
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 315 is a whole number that divides it with nothing left over. You only need to test the numbers up to √315 ≈ 17.75; 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 + 7 + 9 + 15 + 21 + 35 + 45 + 63 + 105 + 315 = 624. Without 315 itself that is 309, so 315 is a deficient number.
LaTeX source of the formulas on this page
\[ 315 = 3^{2} \times 5 \times 7 \]Factor pairs of 315
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 315 | 1 × 315 = 315 |
| 3 | 105 | 3 × 105 = 315 |
| 5 | 63 | 5 × 63 = 315 |
| 7 | 45 | 7 × 45 = 315 |
| 9 | 35 | 9 × 35 = 315 |
| 15 | 21 | 15 × 21 = 315 |
Questions
What are the factors of 315?
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. It has 12 factors.
What are the prime factors of 315?
3, 5, 7. As a product: × 5 × 7.
How many factors does 315 have?
315 has 12 factors (6 factor pairs).
What is the sum of the factors of 315?
624.
Is 315 a prime number?
No. It is divisible by 3, so 315 = 3 × 105.