Factors of 5712
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5712 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5712 ≈ 75.58; 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 17856. Without 5712 itself that is 12144, so 5712 is an abundant number.
LaTeX source of the formulas on this page
\[ 5712 = 2^{4} \times 3 \times 7 \times 17 \]Factor pairs of 5712
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5712 | 1 × 5712 = 5712 |
| 2 | 2856 | 2 × 2856 = 5712 |
| 3 | 1904 | 3 × 1904 = 5712 |
| 4 | 1428 | 4 × 1428 = 5712 |
| 6 | 952 | 6 × 952 = 5712 |
| 7 | 816 | 7 × 816 = 5712 |
| 8 | 714 | 8 × 714 = 5712 |
| 12 | 476 | 12 × 476 = 5712 |
| 14 | 408 | 14 × 408 = 5712 |
| 16 | 357 | 16 × 357 = 5712 |
| 17 | 336 | 17 × 336 = 5712 |
| 21 | 272 | 21 × 272 = 5712 |
| 24 | 238 | 24 × 238 = 5712 |
| 28 | 204 | 28 × 204 = 5712 |
| 34 | 168 | 34 × 168 = 5712 |
| 42 | 136 | 42 × 136 = 5712 |
| 48 | 119 | 48 × 119 = 5712 |
| 51 | 112 | 51 × 112 = 5712 |
| 56 | 102 | 56 × 102 = 5712 |
| 68 | 84 | 68 × 84 = 5712 |
Questions
What are the factors of 5712?
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712. It has 40 factors.
What are the prime factors of 5712?
2, 3, 7, 17. As a product: × 3 × 7 × 17.
How many factors does 5712 have?
5712 has 40 factors (20 factor pairs).
What is the sum of the factors of 5712?
17856.
Is 5712 a prime number?
No. It is divisible by 2, so 5712 = 2 × 2856.