Is 967 a prime number?
Yes, 967 is a prime number. Its only factors are 1 and 967.
Is 967 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 √967 ≈ 31.10. If none of them divides 967, it is prime.
- 3
None of them divides 967, so it is prime.
Testing 967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 967 ÷ 2 | leaves 1 |
| 3 | 967 ÷ 3 | leaves 1 |
| 5 | 967 ÷ 5 | leaves 2 |
| 7 | 967 ÷ 7 | leaves 1 |
| 11 | 967 ÷ 11 | leaves 10 |
| 13 | 967 ÷ 13 | leaves 5 |
| 17 | 967 ÷ 17 | leaves 15 |
| 19 | 967 ÷ 19 | leaves 17 |
| 23 | 967 ÷ 23 | leaves 1 |
| 29 | 967 ÷ 29 | leaves 10 |
| 31 | 967 ÷ 31 | leaves 6 |
Questions
Is 967 a prime number?
Yes, 967 is a prime number. Its only factors are 1 and 967.
What is the next prime after 967?
971.
What is the prime number before 967?
953.
What are the factors of 967?
1, 967.