Factors of 2982
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2982 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2982 ≈ 54.61; 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 6912. Without 2982 itself that is 3930, so 2982 is an abundant number.
LaTeX source of the formulas on this page
\[ 2982 = 2 \times 3 \times 7 \times 71 \]
Factor pairs of 2982
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2982 | 1 × 2982 = 2982 |
| 2 | 1491 | 2 × 1491 = 2982 |
| 3 | 994 | 3 × 994 = 2982 |
| 6 | 497 | 6 × 497 = 2982 |
| 7 | 426 | 7 × 426 = 2982 |
| 14 | 213 | 14 × 213 = 2982 |
| 21 | 142 | 21 × 142 = 2982 |
| 42 | 71 | 42 × 71 = 2982 |
Questions
What are the factors of 2982?
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. It has 16 factors.
What are the prime factors of 2982?
2, 3, 7, 71. As a product: 2 × 3 × 7 × 71.
How many factors does 2982 have?
2982 has 16 factors (8 factor pairs).
What is the sum of the factors of 2982?
6912.
Is 2982 a prime number?
No. It is divisible by 2, so 2982 = 2 × 1491.