Factors of 5967
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5967 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5967 ≈ 77.25; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10080. Without 5967 itself that is 4113, so 5967 is a deficient number.
LaTeX source of the formulas on this page
\[ 5967 = 3^{3} \times 13 \times 17 \]Factor pairs of 5967
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5967 | 1 × 5967 = 5967 |
| 3 | 1989 | 3 × 1989 = 5967 |
| 9 | 663 | 9 × 663 = 5967 |
| 13 | 459 | 13 × 459 = 5967 |
| 17 | 351 | 17 × 351 = 5967 |
| 27 | 221 | 27 × 221 = 5967 |
| 39 | 153 | 39 × 153 = 5967 |
| 51 | 117 | 51 × 117 = 5967 |
Questions
What are the factors of 5967?
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. It has 16 factors.
What are the prime factors of 5967?
3, 13, 17. As a product: × 13 × 17.
How many factors does 5967 have?
5967 has 16 factors (8 factor pairs).
What is the sum of the factors of 5967?
10080.
Is 5967 a prime number?
No. It is divisible by 3, so 5967 = 3 × 1989.