Factors of 8742
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8742 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8742 ≈ 93.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 18432. Without 8742 itself that is 9690, so 8742 is an abundant number.
LaTeX source of the formulas on this page
\[ 8742 = 2 \times 3 \times 31 \times 47 \]
Factor pairs of 8742
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8742 | 1 × 8742 = 8742 |
| 2 | 4371 | 2 × 4371 = 8742 |
| 3 | 2914 | 3 × 2914 = 8742 |
| 6 | 1457 | 6 × 1457 = 8742 |
| 31 | 282 | 31 × 282 = 8742 |
| 47 | 186 | 47 × 186 = 8742 |
| 62 | 141 | 62 × 141 = 8742 |
| 93 | 94 | 93 × 94 = 8742 |
Questions
What are the factors of 8742?
The factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. It has 16 factors.
What are the prime factors of 8742?
2, 3, 31, 47. As a product: 2 × 3 × 31 × 47.
How many factors does 8742 have?
8742 has 16 factors (8 factor pairs).
What is the sum of the factors of 8742?
18432.
Is 8742 a prime number?
No. It is divisible by 2, so 8742 = 2 × 4371.