Factors of 5742
The factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5742 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5742 ≈ 75.78; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 14040. Without 5742 itself that is 8298, so 5742 is an abundant number.
LaTeX source of the formulas on this page
\[ 5742 = 2 \times 3^{2} \times 11 \times 29 \]Factor pairs of 5742
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5742 | 1 × 5742 = 5742 |
| 2 | 2871 | 2 × 2871 = 5742 |
| 3 | 1914 | 3 × 1914 = 5742 |
| 6 | 957 | 6 × 957 = 5742 |
| 9 | 638 | 9 × 638 = 5742 |
| 11 | 522 | 11 × 522 = 5742 |
| 18 | 319 | 18 × 319 = 5742 |
| 22 | 261 | 22 × 261 = 5742 |
| 29 | 198 | 29 × 198 = 5742 |
| 33 | 174 | 33 × 174 = 5742 |
| 58 | 99 | 58 × 99 = 5742 |
| 66 | 87 | 66 × 87 = 5742 |
Questions
What are the factors of 5742?
The factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. It has 24 factors.
What are the prime factors of 5742?
2, 3, 11, 29. As a product: 2 × × 11 × 29.
How many factors does 5742 have?
5742 has 24 factors (12 factor pairs).
What is the sum of the factors of 5742?
14040.
Is 5742 a prime number?
No. It is divisible by 2, so 5742 = 2 × 2871.