Factors of 6944
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6944 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6944 ≈ 83.33; 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 16128. Without 6944 itself that is 9184, so 6944 is an abundant number.
LaTeX source of the formulas on this page
\[ 6944 = 2^{5} \times 7 \times 31 \]Factor pairs of 6944
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6944 | 1 × 6944 = 6944 |
| 2 | 3472 | 2 × 3472 = 6944 |
| 4 | 1736 | 4 × 1736 = 6944 |
| 7 | 992 | 7 × 992 = 6944 |
| 8 | 868 | 8 × 868 = 6944 |
| 14 | 496 | 14 × 496 = 6944 |
| 16 | 434 | 16 × 434 = 6944 |
| 28 | 248 | 28 × 248 = 6944 |
| 31 | 224 | 31 × 224 = 6944 |
| 32 | 217 | 32 × 217 = 6944 |
| 56 | 124 | 56 × 124 = 6944 |
| 62 | 112 | 62 × 112 = 6944 |
Questions
What are the factors of 6944?
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. It has 24 factors.
What are the prime factors of 6944?
2, 7, 31. As a product: × 7 × 31.
How many factors does 6944 have?
6944 has 24 factors (12 factor pairs).
What is the sum of the factors of 6944?
16128.
Is 6944 a prime number?
No. It is divisible by 2, so 6944 = 2 × 3472.