Factors of 6624
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6624 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6624 ≈ 81.39; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19656. Without 6624 itself that is 13032, so 6624 is an abundant number.
LaTeX source of the formulas on this page
\[ 6624 = 2^{5} \times 3^{2} \times 23 \]Factor pairs of 6624
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6624 | 1 × 6624 = 6624 |
| 2 | 3312 | 2 × 3312 = 6624 |
| 3 | 2208 | 3 × 2208 = 6624 |
| 4 | 1656 | 4 × 1656 = 6624 |
| 6 | 1104 | 6 × 1104 = 6624 |
| 8 | 828 | 8 × 828 = 6624 |
| 9 | 736 | 9 × 736 = 6624 |
| 12 | 552 | 12 × 552 = 6624 |
| 16 | 414 | 16 × 414 = 6624 |
| 18 | 368 | 18 × 368 = 6624 |
| 23 | 288 | 23 × 288 = 6624 |
| 24 | 276 | 24 × 276 = 6624 |
| 32 | 207 | 32 × 207 = 6624 |
| 36 | 184 | 36 × 184 = 6624 |
| 46 | 144 | 46 × 144 = 6624 |
| 48 | 138 | 48 × 138 = 6624 |
| 69 | 96 | 69 × 96 = 6624 |
| 72 | 92 | 72 × 92 = 6624 |
Questions
What are the factors of 6624?
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. It has 36 factors.
What are the prime factors of 6624?
2, 3, 23. As a product: × × 23.
How many factors does 6624 have?
6624 has 36 factors (18 factor pairs).
What is the sum of the factors of 6624?
19656.
Is 6624 a prime number?
No. It is divisible by 2, so 6624 = 2 × 3312.