Is 9982 a prime number?
No, 9982 is not a prime number. It is divisible by 2: 9982 = 2 × 4991.
Is 9982 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √9982 ≈ 99.91. If none of them divides 9982, it is prime.
- 3
2 divides 9982 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9982 = 2 \times 7 \times 23 \times 31 \]
Testing 9982 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9982 ÷ 2 | divides exactly (4991) |
| 3 | 9982 ÷ 3 | leaves 1 |
| 5 | 9982 ÷ 5 | leaves 2 |
| 7 | 9982 ÷ 7 | divides exactly (1426) |
| 11 | 9982 ÷ 11 | leaves 5 |
| 13 | 9982 ÷ 13 | leaves 11 |
| 17 | 9982 ÷ 17 | leaves 3 |
| 19 | 9982 ÷ 19 | leaves 7 |
| 23 | 9982 ÷ 23 | divides exactly (434) |
| 29 | 9982 ÷ 29 | leaves 6 |
| 31 | 9982 ÷ 31 | divides exactly (322) |
| 37 | 9982 ÷ 37 | leaves 29 |
Questions
Is 9982 a prime number?
No, 9982 is not a prime number. It is divisible by 2: 9982 = 2 × 4991.
What is the next prime after 9982?
10007.
What is the prime number before 9982?
9973.
What are the factors of 9982?
1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982.