Factors of 9962
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9962 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9962 ≈ 99.81; 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 + 17 + 34 + 293 + 586 + 4981 + 9962 = 15876. Without 9962 itself that is 5914, so 9962 is a deficient number.
LaTeX source of the formulas on this page
\[ 9962 = 2 \times 17 \times 293 \]
Factor pairs of 9962
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9962 | 1 × 9962 = 9962 |
| 2 | 4981 | 2 × 4981 = 9962 |
| 17 | 586 | 17 × 586 = 9962 |
| 34 | 293 | 34 × 293 = 9962 |
Questions
What are the factors of 9962?
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. It has 8 factors.
What are the prime factors of 9962?
2, 17, 293. As a product: 2 × 17 × 293.
How many factors does 9962 have?
9962 has 8 factors (4 factor pairs).
What is the sum of the factors of 9962?
15876.
Is 9962 a prime number?
No. It is divisible by 2, so 9962 = 2 × 4981.