Factors of 5976
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5976 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5976 ≈ 77.30; 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 16380. Without 5976 itself that is 10404, so 5976 is an abundant number.
LaTeX source of the formulas on this page
\[ 5976 = 2^{3} \times 3^{2} \times 83 \]Factor pairs of 5976
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5976 | 1 × 5976 = 5976 |
| 2 | 2988 | 2 × 2988 = 5976 |
| 3 | 1992 | 3 × 1992 = 5976 |
| 4 | 1494 | 4 × 1494 = 5976 |
| 6 | 996 | 6 × 996 = 5976 |
| 8 | 747 | 8 × 747 = 5976 |
| 9 | 664 | 9 × 664 = 5976 |
| 12 | 498 | 12 × 498 = 5976 |
| 18 | 332 | 18 × 332 = 5976 |
| 24 | 249 | 24 × 249 = 5976 |
| 36 | 166 | 36 × 166 = 5976 |
| 72 | 83 | 72 × 83 = 5976 |
Questions
What are the factors of 5976?
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976. It has 24 factors.
What are the prime factors of 5976?
2, 3, 83. As a product: × × 83.
How many factors does 5976 have?
5976 has 24 factors (12 factor pairs).
What is the sum of the factors of 5976?
16380.
Is 5976 a prime number?
No. It is divisible by 2, so 5976 = 2 × 2988.