Factors of 357
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. It has 8 factors.
Factors of 357
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 357 is a whole number that divides it with nothing left over. You only need to test the numbers up to √357 ≈ 18.89; 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 + 7 + 17 + 21 + 51 + 119 + 357 = 576. Without 357 itself that is 219, so 357 is a deficient number.
LaTeX source of the formulas on this page
\[ 357 = 3 \times 7 \times 17 \]
Factor pairs of 357
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 357 | 1 × 357 = 357 |
| 3 | 119 | 3 × 119 = 357 |
| 7 | 51 | 7 × 51 = 357 |
| 17 | 21 | 17 × 21 = 357 |
Questions
What are the factors of 357?
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. It has 8 factors.
What are the prime factors of 357?
3, 7, 17. As a product: 3 × 7 × 17.
How many factors does 357 have?
357 has 8 factors (4 factor pairs).
What is the sum of the factors of 357?
576.
Is 357 a prime number?
No. It is divisible by 3, so 357 = 3 × 119.