Factors of 462
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 462 is a whole number that divides it with nothing left over. You only need to test the numbers up to √462 ≈ 21.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 1152. Without 462 itself that is 690, so 462 is an abundant number.
LaTeX source of the formulas on this page
\[ 462 = 2 \times 3 \times 7 \times 11 \]
Factor pairs of 462
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 462 | 1 × 462 = 462 |
| 2 | 231 | 2 × 231 = 462 |
| 3 | 154 | 3 × 154 = 462 |
| 6 | 77 | 6 × 77 = 462 |
| 7 | 66 | 7 × 66 = 462 |
| 11 | 42 | 11 × 42 = 462 |
| 14 | 33 | 14 × 33 = 462 |
| 21 | 22 | 21 × 22 = 462 |
Questions
What are the factors of 462?
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. It has 16 factors.
What are the prime factors of 462?
2, 3, 7, 11. As a product: 2 × 3 × 7 × 11.
How many factors does 462 have?
462 has 16 factors (8 factor pairs).
What is the sum of the factors of 462?
1152.
Is 462 a prime number?
No. It is divisible by 2, so 462 = 2 × 231.