Is 9967 a prime number?
Yes, 9967 is a prime number. Its only factors are 1 and 9967.
Is 9967 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 √9967 ≈ 99.83. If none of them divides 9967, it is prime.
- 3
None of them divides 9967, so it is prime.
Testing 9967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9967 ÷ 2 | leaves 1 |
| 3 | 9967 ÷ 3 | leaves 1 |
| 5 | 9967 ÷ 5 | leaves 2 |
| 7 | 9967 ÷ 7 | leaves 6 |
| 11 | 9967 ÷ 11 | leaves 1 |
| 13 | 9967 ÷ 13 | leaves 9 |
| 17 | 9967 ÷ 17 | leaves 5 |
| 19 | 9967 ÷ 19 | leaves 11 |
| 23 | 9967 ÷ 23 | leaves 8 |
| 29 | 9967 ÷ 29 | leaves 20 |
| 31 | 9967 ÷ 31 | leaves 16 |
| 37 | 9967 ÷ 37 | leaves 14 |
Questions
Is 9967 a prime number?
Yes, 9967 is a prime number. Its only factors are 1 and 9967.
What is the next prime after 9967?
9973.
What is the prime number before 9967?
9949.
What are the factors of 9967?
1, 9967.