Factors of 6084
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. It has 27 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6084 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6084 ≈ 78.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 27 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16653. Without 6084 itself that is 10569, so 6084 is an abundant number.
LaTeX source of the formulas on this page
\[ 6084 = 2^{2} \times 3^{2} \times 13^{2} \]Factor pairs of 6084
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6084 | 1 × 6084 = 6084 |
| 2 | 3042 | 2 × 3042 = 6084 |
| 3 | 2028 | 3 × 2028 = 6084 |
| 4 | 1521 | 4 × 1521 = 6084 |
| 6 | 1014 | 6 × 1014 = 6084 |
| 9 | 676 | 9 × 676 = 6084 |
| 12 | 507 | 12 × 507 = 6084 |
| 13 | 468 | 13 × 468 = 6084 |
| 18 | 338 | 18 × 338 = 6084 |
| 26 | 234 | 26 × 234 = 6084 |
| 36 | 169 | 36 × 169 = 6084 |
| 39 | 156 | 39 × 156 = 6084 |
| 52 | 117 | 52 × 117 = 6084 |
| 78 | 78 | 78 × 78 = 6084 |
Questions
What are the factors of 6084?
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. It has 27 factors.
What are the prime factors of 6084?
2, 3, 13. As a product: × × .
How many factors does 6084 have?
6084 has 27 factors (14 factor pairs, one of them 78 × 78).
What is the sum of the factors of 6084?
16653.
Is 6084 a prime number?
No. It is divisible by 2, so 6084 = 2 × 3042.