Is 7967 a prime number?
No, 7967 is not a prime number. It is divisible by 31: 7967 = 31 × 257.
Is 7967 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 √7967 ≈ 89.26. If none of them divides 7967, it is prime.
- 3
31 divides 7967 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7967 = 31 \times 257 \]
Testing 7967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7967 ÷ 2 | leaves 1 |
| 3 | 7967 ÷ 3 | leaves 2 |
| 5 | 7967 ÷ 5 | leaves 2 |
| 7 | 7967 ÷ 7 | leaves 1 |
| 11 | 7967 ÷ 11 | leaves 3 |
| 13 | 7967 ÷ 13 | leaves 11 |
| 17 | 7967 ÷ 17 | leaves 11 |
| 19 | 7967 ÷ 19 | leaves 6 |
| 23 | 7967 ÷ 23 | leaves 9 |
| 29 | 7967 ÷ 29 | leaves 21 |
| 31 | 7967 ÷ 31 | divides exactly (257) |
| 37 | 7967 ÷ 37 | leaves 12 |
Questions
Is 7967 a prime number?
No, 7967 is not a prime number. It is divisible by 31: 7967 = 31 × 257.
What is the next prime after 7967?
7993.
What is the prime number before 7967?
7963.
What are the factors of 7967?
1, 31, 257, 7967.