Factors of 9982
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9982 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9982 ≈ 99.91; 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 9982 itself that is 8450, so 9982 is a deficient number.
LaTeX source of the formulas on this page
\[ 9982 = 2 \times 7 \times 23 \times 31 \]
Factor pairs of 9982
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9982 | 1 × 9982 = 9982 |
| 2 | 4991 | 2 × 4991 = 9982 |
| 7 | 1426 | 7 × 1426 = 9982 |
| 14 | 713 | 14 × 713 = 9982 |
| 23 | 434 | 23 × 434 = 9982 |
| 31 | 322 | 31 × 322 = 9982 |
| 46 | 217 | 46 × 217 = 9982 |
| 62 | 161 | 62 × 161 = 9982 |
Questions
What are the factors of 9982?
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982. It has 16 factors.
What are the prime factors of 9982?
2, 7, 23, 31. As a product: 2 × 7 × 23 × 31.
How many factors does 9982 have?
9982 has 16 factors (8 factor pairs).
What is the sum of the factors of 9982?
18432.
Is 9982 a prime number?
No. It is divisible by 2, so 9982 = 2 × 4991.