Factors of 5958
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5958 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5958 ≈ 77.19; 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 + 3 + 6 + 9 + 18 + 331 + 662 + 993 + 1986 + 2979 + 5958 = 12948. Without 5958 itself that is 6990, so 5958 is an abundant number.
LaTeX source of the formulas on this page
\[ 5958 = 2 \times 3^{2} \times 331 \]Factor pairs of 5958
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5958 | 1 × 5958 = 5958 |
| 2 | 2979 | 2 × 2979 = 5958 |
| 3 | 1986 | 3 × 1986 = 5958 |
| 6 | 993 | 6 × 993 = 5958 |
| 9 | 662 | 9 × 662 = 5958 |
| 18 | 331 | 18 × 331 = 5958 |
Questions
What are the factors of 5958?
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. It has 12 factors.
What are the prime factors of 5958?
2, 3, 331. As a product: 2 × × 331.
How many factors does 5958 have?
5958 has 12 factors (6 factor pairs).
What is the sum of the factors of 5958?
12948.
Is 5958 a prime number?
No. It is divisible by 2, so 5958 = 2 × 2979.