Factors of 2992
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2992 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2992 ≈ 54.70; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 6696. Without 2992 itself that is 3704, so 2992 is an abundant number.
LaTeX source of the formulas on this page
\[ 2992 = 2^{4} \times 11 \times 17 \]Factor pairs of 2992
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2992 | 1 × 2992 = 2992 |
| 2 | 1496 | 2 × 1496 = 2992 |
| 4 | 748 | 4 × 748 = 2992 |
| 8 | 374 | 8 × 374 = 2992 |
| 11 | 272 | 11 × 272 = 2992 |
| 16 | 187 | 16 × 187 = 2992 |
| 17 | 176 | 17 × 176 = 2992 |
| 22 | 136 | 22 × 136 = 2992 |
| 34 | 88 | 34 × 88 = 2992 |
| 44 | 68 | 44 × 68 = 2992 |
Questions
What are the factors of 2992?
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. It has 20 factors.
What are the prime factors of 2992?
2, 11, 17. As a product: × 11 × 17.
How many factors does 2992 have?
2992 has 20 factors (10 factor pairs).
What is the sum of the factors of 2992?
6696.
Is 2992 a prime number?
No. It is divisible by 2, so 2992 = 2 × 1496.