Factors of 496
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. It has 10 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 496 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā496 ā 22.27; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 10 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496 = 992. Without 496 itself that is 496, so 496 is a perfect number.
LaTeX source of the formulas on this page
\[ 496 = 2^{4} \times 31 \]Factor pairs of 496
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 496 | 1 Ć 496 = 496 |
| 2 | 248 | 2 Ć 248 = 496 |
| 4 | 124 | 4 Ć 124 = 496 |
| 8 | 62 | 8 Ć 62 = 496 |
| 16 | 31 | 16 Ć 31 = 496 |
Questions
What are the factors of 496?
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. It has 10 factors.
What are the prime factors of 496?
2, 31. As a product: Ć 31.
How many factors does 496 have?
496 has 10 factors (5 factor pairs).
What is the sum of the factors of 496?
992.
Is 496 a prime number?
No. It is divisible by 2, so 496 = 2 Ć 248.