Is 9997 a prime number?
No, 9997 is not a prime number. It is divisible by 13: 9997 = 13 × 769.
Is 9997 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 √9997 ≈ 99.98. If none of them divides 9997, it is prime.
- 3
13 divides 9997 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9997 = 13 \times 769 \]
Testing 9997 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9997 ÷ 2 | leaves 1 |
| 3 | 9997 ÷ 3 | leaves 1 |
| 5 | 9997 ÷ 5 | leaves 2 |
| 7 | 9997 ÷ 7 | leaves 1 |
| 11 | 9997 ÷ 11 | leaves 9 |
| 13 | 9997 ÷ 13 | divides exactly (769) |
| 17 | 9997 ÷ 17 | leaves 1 |
| 19 | 9997 ÷ 19 | leaves 3 |
| 23 | 9997 ÷ 23 | leaves 15 |
| 29 | 9997 ÷ 29 | leaves 21 |
| 31 | 9997 ÷ 31 | leaves 15 |
| 37 | 9997 ÷ 37 | leaves 7 |
Questions
Is 9997 a prime number?
No, 9997 is not a prime number. It is divisible by 13: 9997 = 13 × 769.
What is the next prime after 9997?
10007.
What is the prime number before 9997?
9973.
What are the factors of 9997?
1, 13, 769, 9997.