Is 9979 a prime number?
No, 9979 is not a prime number. It is divisible by 17: 9979 = 17 × 587.
Is 9979 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 √9979 ≈ 99.89. If none of them divides 9979, it is prime.
- 3
17 divides 9979 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9979 = 17 \times 587 \]
Testing 9979 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9979 ÷ 2 | leaves 1 |
| 3 | 9979 ÷ 3 | leaves 1 |
| 5 | 9979 ÷ 5 | leaves 4 |
| 7 | 9979 ÷ 7 | leaves 4 |
| 11 | 9979 ÷ 11 | leaves 2 |
| 13 | 9979 ÷ 13 | leaves 8 |
| 17 | 9979 ÷ 17 | divides exactly (587) |
| 19 | 9979 ÷ 19 | leaves 4 |
| 23 | 9979 ÷ 23 | leaves 20 |
| 29 | 9979 ÷ 29 | leaves 3 |
| 31 | 9979 ÷ 31 | leaves 28 |
| 37 | 9979 ÷ 37 | leaves 26 |
Questions
Is 9979 a prime number?
No, 9979 is not a prime number. It is divisible by 17: 9979 = 17 × 587.
What is the next prime after 9979?
10007.
What is the prime number before 9979?
9973.
What are the factors of 9979?
1, 17, 587, 9979.