Factors of 2688
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2688 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2688 ≈ 51.85; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8160. Without 2688 itself that is 5472, so 2688 is an abundant number.
LaTeX source of the formulas on this page
\[ 2688 = 2^{7} \times 3 \times 7 \]Factor pairs of 2688
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2688 | 1 × 2688 = 2688 |
| 2 | 1344 | 2 × 1344 = 2688 |
| 3 | 896 | 3 × 896 = 2688 |
| 4 | 672 | 4 × 672 = 2688 |
| 6 | 448 | 6 × 448 = 2688 |
| 7 | 384 | 7 × 384 = 2688 |
| 8 | 336 | 8 × 336 = 2688 |
| 12 | 224 | 12 × 224 = 2688 |
| 14 | 192 | 14 × 192 = 2688 |
| 16 | 168 | 16 × 168 = 2688 |
| 21 | 128 | 21 × 128 = 2688 |
| 24 | 112 | 24 × 112 = 2688 |
| 28 | 96 | 28 × 96 = 2688 |
| 32 | 84 | 32 × 84 = 2688 |
| 42 | 64 | 42 × 64 = 2688 |
| 48 | 56 | 48 × 56 = 2688 |
Questions
What are the factors of 2688?
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688. It has 32 factors.
What are the prime factors of 2688?
2, 3, 7. As a product: × 3 × 7.
How many factors does 2688 have?
2688 has 32 factors (16 factor pairs).
What is the sum of the factors of 2688?
8160.
Is 2688 a prime number?
No. It is divisible by 2, so 2688 = 2 × 1344.