Factors of 6864
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6864 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6864 ≈ 82.85; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 20832. Without 6864 itself that is 13968, so 6864 is an abundant number.
LaTeX source of the formulas on this page
\[ 6864 = 2^{4} \times 3 \times 11 \times 13 \]Factor pairs of 6864
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6864 | 1 × 6864 = 6864 |
| 2 | 3432 | 2 × 3432 = 6864 |
| 3 | 2288 | 3 × 2288 = 6864 |
| 4 | 1716 | 4 × 1716 = 6864 |
| 6 | 1144 | 6 × 1144 = 6864 |
| 8 | 858 | 8 × 858 = 6864 |
| 11 | 624 | 11 × 624 = 6864 |
| 12 | 572 | 12 × 572 = 6864 |
| 13 | 528 | 13 × 528 = 6864 |
| 16 | 429 | 16 × 429 = 6864 |
| 22 | 312 | 22 × 312 = 6864 |
| 24 | 286 | 24 × 286 = 6864 |
| 26 | 264 | 26 × 264 = 6864 |
| 33 | 208 | 33 × 208 = 6864 |
| 39 | 176 | 39 × 176 = 6864 |
| 44 | 156 | 44 × 156 = 6864 |
| 48 | 143 | 48 × 143 = 6864 |
| 52 | 132 | 52 × 132 = 6864 |
| 66 | 104 | 66 × 104 = 6864 |
| 78 | 88 | 78 × 88 = 6864 |
Questions
What are the factors of 6864?
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864. It has 40 factors.
What are the prime factors of 6864?
2, 3, 11, 13. As a product: × 3 × 11 × 13.
How many factors does 6864 have?
6864 has 40 factors (20 factor pairs).
What is the sum of the factors of 6864?
20832.
Is 6864 a prime number?
No. It is divisible by 2, so 6864 = 2 × 3432.