Factors of 256
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. It has 9 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 256 is a whole number that divides it with nothing left over. You only need to test the numbers up to √256 ≈ 16.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 9 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 = 511. Without 256 itself that is 255, so 256 is a deficient number.
LaTeX source of the formulas on this page
\[ 256 = 2^{8} \]Factor pairs of 256
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 256 | 1 × 256 = 256 |
| 2 | 128 | 2 × 128 = 256 |
| 4 | 64 | 4 × 64 = 256 |
| 8 | 32 | 8 × 32 = 256 |
| 16 | 16 | 16 × 16 = 256 |
Questions
What are the factors of 256?
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. It has 9 factors.
What are the prime factors of 256?
2. As a product: .
How many factors does 256 have?
256 has 9 factors (5 factor pairs, one of them 16 × 16).
What is the sum of the factors of 256?
511.
Is 256 a prime number?
No. It is divisible by 2, so 256 = 2 × 128.