Factors of 8967
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8967 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8967 ≈ 94.69; 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 + 3 + 7 + 21 + 49 + 61 + 147 + 183 + 427 + 1281 + 2989 + 8967 = 14136. Without 8967 itself that is 5169, so 8967 is a deficient number.
LaTeX source of the formulas on this page
\[ 8967 = 3 \times 7^{2} \times 61 \]Factor pairs of 8967
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8967 | 1 × 8967 = 8967 |
| 3 | 2989 | 3 × 2989 = 8967 |
| 7 | 1281 | 7 × 1281 = 8967 |
| 21 | 427 | 21 × 427 = 8967 |
| 49 | 183 | 49 × 183 = 8967 |
| 61 | 147 | 61 × 147 = 8967 |
Questions
What are the factors of 8967?
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. It has 12 factors.
What are the prime factors of 8967?
3, 7, 61. As a product: 3 × × 61.
How many factors does 8967 have?
8967 has 12 factors (6 factor pairs).
What is the sum of the factors of 8967?
14136.
Is 8967 a prime number?
No. It is divisible by 3, so 8967 = 3 × 2989.