Factors of 1056
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1056 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1056 ≈ 32.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3024. Without 1056 itself that is 1968, so 1056 is an abundant number.
LaTeX source of the formulas on this page
\[ 1056 = 2^{5} \times 3 \times 11 \]Factor pairs of 1056
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1056 | 1 × 1056 = 1056 |
| 2 | 528 | 2 × 528 = 1056 |
| 3 | 352 | 3 × 352 = 1056 |
| 4 | 264 | 4 × 264 = 1056 |
| 6 | 176 | 6 × 176 = 1056 |
| 8 | 132 | 8 × 132 = 1056 |
| 11 | 96 | 11 × 96 = 1056 |
| 12 | 88 | 12 × 88 = 1056 |
| 16 | 66 | 16 × 66 = 1056 |
| 22 | 48 | 22 × 48 = 1056 |
| 24 | 44 | 24 × 44 = 1056 |
| 32 | 33 | 32 × 33 = 1056 |
Questions
What are the factors of 1056?
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. It has 24 factors.
What are the prime factors of 1056?
2, 3, 11. As a product: × 3 × 11.
How many factors does 1056 have?
1056 has 24 factors (12 factor pairs).
What is the sum of the factors of 1056?
3024.
Is 1056 a prime number?
No. It is divisible by 2, so 1056 = 2 × 528.