Factors of 8964
The factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8964 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8964 ≈ 94.68; 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 23520. Without 8964 itself that is 14556, so 8964 is an abundant number.
LaTeX source of the formulas on this page
\[ 8964 = 2^{2} \times 3^{3} \times 83 \]Factor pairs of 8964
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8964 | 1 × 8964 = 8964 |
| 2 | 4482 | 2 × 4482 = 8964 |
| 3 | 2988 | 3 × 2988 = 8964 |
| 4 | 2241 | 4 × 2241 = 8964 |
| 6 | 1494 | 6 × 1494 = 8964 |
| 9 | 996 | 9 × 996 = 8964 |
| 12 | 747 | 12 × 747 = 8964 |
| 18 | 498 | 18 × 498 = 8964 |
| 27 | 332 | 27 × 332 = 8964 |
| 36 | 249 | 36 × 249 = 8964 |
| 54 | 166 | 54 × 166 = 8964 |
| 83 | 108 | 83 × 108 = 8964 |
Questions
What are the factors of 8964?
The factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. It has 24 factors.
What are the prime factors of 8964?
2, 3, 83. As a product: × × 83.
How many factors does 8964 have?
8964 has 24 factors (12 factor pairs).
What is the sum of the factors of 8964?
23520.
Is 8964 a prime number?
No. It is divisible by 2, so 8964 = 2 × 4482.