Factors of 1024
The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. It has 11 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1024 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1024 ≈ 32.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 11 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 + 1024 = 2047. Without 1024 itself that is 1023, so 1024 is a deficient number.
LaTeX source of the formulas on this page
\[ 1024 = 2^{10} \]Factor pairs of 1024
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1024 | 1 × 1024 = 1024 |
| 2 | 512 | 2 × 512 = 1024 |
| 4 | 256 | 4 × 256 = 1024 |
| 8 | 128 | 8 × 128 = 1024 |
| 16 | 64 | 16 × 64 = 1024 |
| 32 | 32 | 32 × 32 = 1024 |
Questions
What are the factors of 1024?
The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. It has 11 factors.
What are the prime factors of 1024?
2. As a product: .
How many factors does 1024 have?
1024 has 11 factors (6 factor pairs, one of them 32 × 32).
What is the sum of the factors of 1024?
2047.
Is 1024 a prime number?
No. It is divisible by 2, so 1024 = 2 × 512.