Factors of 5982
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5982 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5982 ≈ 77.34; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 6 + 997 + 1994 + 2991 + 5982 = 11976. Without 5982 itself that is 5994, so 5982 is an abundant number.
LaTeX source of the formulas on this page
\[ 5982 = 2 \times 3 \times 997 \]
Factor pairs of 5982
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5982 | 1 × 5982 = 5982 |
| 2 | 2991 | 2 × 2991 = 5982 |
| 3 | 1994 | 3 × 1994 = 5982 |
| 6 | 997 | 6 × 997 = 5982 |
Questions
What are the factors of 5982?
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. It has 8 factors.
What are the prime factors of 5982?
2, 3, 997. As a product: 2 × 3 × 997.
How many factors does 5982 have?
5982 has 8 factors (4 factor pairs).
What is the sum of the factors of 5982?
11976.
Is 5982 a prime number?
No. It is divisible by 2, so 5982 = 2 × 2991.