Factors of 408
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 408 is a whole number that divides it with nothing left over. You only need to test the numbers up to √408 ≈ 20.20; 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 1080. Without 408 itself that is 672, so 408 is an abundant number.
LaTeX source of the formulas on this page
\[ 408 = 2^{3} \times 3 \times 17 \]Factor pairs of 408
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 408 | 1 × 408 = 408 |
| 2 | 204 | 2 × 204 = 408 |
| 3 | 136 | 3 × 136 = 408 |
| 4 | 102 | 4 × 102 = 408 |
| 6 | 68 | 6 × 68 = 408 |
| 8 | 51 | 8 × 51 = 408 |
| 12 | 34 | 12 × 34 = 408 |
| 17 | 24 | 17 × 24 = 408 |
Questions
What are the factors of 408?
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408. It has 16 factors.
What are the prime factors of 408?
2, 3, 17. As a product: × 3 × 17.
How many factors does 408 have?
408 has 16 factors (8 factor pairs).
What is the sum of the factors of 408?
1080.
Is 408 a prime number?
No. It is divisible by 2, so 408 = 2 × 204.