Factors of 9942
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9942 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9942 ≈ 99.71; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 6 + 1657 + 3314 + 4971 + 9942 = 19896. Without 9942 itself that is 9954, so 9942 is an abundant number.
LaTeX source of the formulas on this page
\[ 9942 = 2 \times 3 \times 1657 \]
Factor pairs of 9942
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9942 | 1 × 9942 = 9942 |
| 2 | 4971 | 2 × 4971 = 9942 |
| 3 | 3314 | 3 × 3314 = 9942 |
| 6 | 1657 | 6 × 1657 = 9942 |
Questions
What are the factors of 9942?
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942. It has 8 factors.
What are the prime factors of 9942?
2, 3, 1657. As a product: 2 × 3 × 1657.
How many factors does 9942 have?
9942 has 8 factors (4 factor pairs).
What is the sum of the factors of 9942?
19896.
Is 9942 a prime number?
No. It is divisible by 2, so 9942 = 2 × 4971.