Factors of 8764
The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8764 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8764 ≈ 93.62; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 7 + 14 + 28 + 313 + 626 + 1252 + 2191 + 4382 + 8764 = 17584. Without 8764 itself that is 8820, so 8764 is an abundant number.
LaTeX source of the formulas on this page
\[ 8764 = 2^{2} \times 7 \times 313 \]Factor pairs of 8764
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8764 | 1 × 8764 = 8764 |
| 2 | 4382 | 2 × 4382 = 8764 |
| 4 | 2191 | 4 × 2191 = 8764 |
| 7 | 1252 | 7 × 1252 = 8764 |
| 14 | 626 | 14 × 626 = 8764 |
| 28 | 313 | 28 × 313 = 8764 |
Questions
What are the factors of 8764?
The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. It has 12 factors.
What are the prime factors of 8764?
2, 7, 313. As a product: × 7 × 313.
How many factors does 8764 have?
8764 has 12 factors (6 factor pairs).
What is the sum of the factors of 8764?
17584.
Is 8764 a prime number?
No. It is divisible by 2, so 8764 = 2 × 4382.