Factors of 231
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. It has 8 factors.
Factors of 231
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 231 is a whole number that divides it with nothing left over. You only need to test the numbers up to √231 ≈ 15.20; 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 + 11 + 21 + 33 + 77 + 231 = 384. Without 231 itself that is 153, so 231 is a deficient number.
LaTeX source of the formulas on this page
\[ 231 = 3 \times 7 \times 11 \]
Factor pairs of 231
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 231 | 1 × 231 = 231 |
| 3 | 77 | 3 × 77 = 231 |
| 7 | 33 | 7 × 33 = 231 |
| 11 | 21 | 11 × 21 = 231 |
Questions
What are the factors of 231?
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. It has 8 factors.
What are the prime factors of 231?
3, 7, 11. As a product: 3 × 7 × 11.
How many factors does 231 have?
231 has 8 factors (4 factor pairs).
What is the sum of the factors of 231?
384.
Is 231 a prime number?
No. It is divisible by 3, so 231 = 3 × 77.