Factors of 234
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 234 is a whole number that divides it with nothing left over. You only need to test the numbers up to √234 ≈ 15.30; 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 + 2 + 3 + 6 + 9 + 13 + 18 + 26 + 39 + 78 + 117 + 234 = 546. Without 234 itself that is 312, so 234 is an abundant number.
LaTeX source of the formulas on this page
\[ 234 = 2 \times 3^{2} \times 13 \]Factor pairs of 234
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 234 | 1 × 234 = 234 |
| 2 | 117 | 2 × 117 = 234 |
| 3 | 78 | 3 × 78 = 234 |
| 6 | 39 | 6 × 39 = 234 |
| 9 | 26 | 9 × 26 = 234 |
| 13 | 18 | 13 × 18 = 234 |
Questions
What are the factors of 234?
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. It has 12 factors.
What are the prime factors of 234?
2, 3, 13. As a product: 2 × × 13.
How many factors does 234 have?
234 has 12 factors (6 factor pairs).
What is the sum of the factors of 234?
546.
Is 234 a prime number?
No. It is divisible by 2, so 234 = 2 × 117.