Factors of 468
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 468 is a whole number that divides it with nothing left over. You only need to test the numbers up to √468 ≈ 21.63; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 1274. Without 468 itself that is 806, so 468 is an abundant number.
LaTeX source of the formulas on this page
\[ 468 = 2^{2} \times 3^{2} \times 13 \]Factor pairs of 468
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 468 | 1 × 468 = 468 |
| 2 | 234 | 2 × 234 = 468 |
| 3 | 156 | 3 × 156 = 468 |
| 4 | 117 | 4 × 117 = 468 |
| 6 | 78 | 6 × 78 = 468 |
| 9 | 52 | 9 × 52 = 468 |
| 12 | 39 | 12 × 39 = 468 |
| 13 | 36 | 13 × 36 = 468 |
| 18 | 26 | 18 × 26 = 468 |
Questions
What are the factors of 468?
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. It has 18 factors.
What are the prime factors of 468?
2, 3, 13. As a product: × × 13.
How many factors does 468 have?
468 has 18 factors (9 factor pairs).
What is the sum of the factors of 468?
1274.
Is 468 a prime number?
No. It is divisible by 2, so 468 = 2 × 234.