Factors of 2976
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2976 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2976 ≈ 54.55; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8064. Without 2976 itself that is 5088, so 2976 is an abundant number.
LaTeX source of the formulas on this page
\[ 2976 = 2^{5} \times 3 \times 31 \]Factor pairs of 2976
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2976 | 1 × 2976 = 2976 |
| 2 | 1488 | 2 × 1488 = 2976 |
| 3 | 992 | 3 × 992 = 2976 |
| 4 | 744 | 4 × 744 = 2976 |
| 6 | 496 | 6 × 496 = 2976 |
| 8 | 372 | 8 × 372 = 2976 |
| 12 | 248 | 12 × 248 = 2976 |
| 16 | 186 | 16 × 186 = 2976 |
| 24 | 124 | 24 × 124 = 2976 |
| 31 | 96 | 31 × 96 = 2976 |
| 32 | 93 | 32 × 93 = 2976 |
| 48 | 62 | 48 × 62 = 2976 |
Questions
What are the factors of 2976?
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976. It has 24 factors.
What are the prime factors of 2976?
2, 3, 31. As a product: × 3 × 31.
How many factors does 2976 have?
2976 has 24 factors (12 factor pairs).
What is the sum of the factors of 2976?
8064.
Is 2976 a prime number?
No. It is divisible by 2, so 2976 = 2 × 1488.