Factors of 5264
The factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5264 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5264 ≈ 72.55; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 11904. Without 5264 itself that is 6640, so 5264 is an abundant number.
LaTeX source of the formulas on this page
\[ 5264 = 2^{4} \times 7 \times 47 \]Factor pairs of 5264
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5264 | 1 × 5264 = 5264 |
| 2 | 2632 | 2 × 2632 = 5264 |
| 4 | 1316 | 4 × 1316 = 5264 |
| 7 | 752 | 7 × 752 = 5264 |
| 8 | 658 | 8 × 658 = 5264 |
| 14 | 376 | 14 × 376 = 5264 |
| 16 | 329 | 16 × 329 = 5264 |
| 28 | 188 | 28 × 188 = 5264 |
| 47 | 112 | 47 × 112 = 5264 |
| 56 | 94 | 56 × 94 = 5264 |
Questions
What are the factors of 5264?
The factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. It has 20 factors.
What are the prime factors of 5264?
2, 7, 47. As a product: × 7 × 47.
How many factors does 5264 have?
5264 has 20 factors (10 factor pairs).
What is the sum of the factors of 5264?
11904.
Is 5264 a prime number?
No. It is divisible by 2, so 5264 = 2 × 2632.