Factors of 816
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 816 is a whole number that divides it with nothing left over. You only need to test the numbers up to √816 ≈ 28.57; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2232. Without 816 itself that is 1416, so 816 is an abundant number.
LaTeX source of the formulas on this page
\[ 816 = 2^{4} \times 3 \times 17 \]Factor pairs of 816
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 816 | 1 × 816 = 816 |
| 2 | 408 | 2 × 408 = 816 |
| 3 | 272 | 3 × 272 = 816 |
| 4 | 204 | 4 × 204 = 816 |
| 6 | 136 | 6 × 136 = 816 |
| 8 | 102 | 8 × 102 = 816 |
| 12 | 68 | 12 × 68 = 816 |
| 16 | 51 | 16 × 51 = 816 |
| 17 | 48 | 17 × 48 = 816 |
| 24 | 34 | 24 × 34 = 816 |
Questions
What are the factors of 816?
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. It has 20 factors.
What are the prime factors of 816?
2, 3, 17. As a product: × 3 × 17.
How many factors does 816 have?
816 has 20 factors (10 factor pairs).
What is the sum of the factors of 816?
2232.
Is 816 a prime number?
No. It is divisible by 2, so 816 = 2 × 408.