Factors of 512
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. It has 10 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 512 is a whole number that divides it with nothing left over. You only need to test the numbers up to √512 ≈ 22.63; 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 + 32 + 64 + 128 + 256 + 512 = 1023. Without 512 itself that is 511, so 512 is a deficient number.
LaTeX source of the formulas on this page
\[ 512 = 2^{9} \]Factor pairs of 512
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 512 | 1 × 512 = 512 |
| 2 | 256 | 2 × 256 = 512 |
| 4 | 128 | 4 × 128 = 512 |
| 8 | 64 | 8 × 64 = 512 |
| 16 | 32 | 16 × 32 = 512 |
Questions
What are the factors of 512?
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. It has 10 factors.
What are the prime factors of 512?
2. As a product: .
How many factors does 512 have?
512 has 10 factors (5 factor pairs).
What is the sum of the factors of 512?
1023.
Is 512 a prime number?
No. It is divisible by 2, so 512 = 2 × 256.