Is 8967 a prime number?
No, 8967 is not a prime number. It is divisible by 3: 8967 = 3 × 2989.
Is 8967 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 √8967 ≈ 94.69. If none of them divides 8967, it is prime.
- 3
3 divides 8967 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8967 = 3 \times 7^{2} \times 61 \]Testing 8967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8967 ÷ 2 | leaves 1 |
| 3 | 8967 ÷ 3 | divides exactly (2989) |
| 5 | 8967 ÷ 5 | leaves 2 |
| 7 | 8967 ÷ 7 | divides exactly (1281) |
| 11 | 8967 ÷ 11 | leaves 2 |
| 13 | 8967 ÷ 13 | leaves 10 |
| 17 | 8967 ÷ 17 | leaves 8 |
| 19 | 8967 ÷ 19 | leaves 18 |
| 23 | 8967 ÷ 23 | leaves 20 |
| 29 | 8967 ÷ 29 | leaves 6 |
| 31 | 8967 ÷ 31 | leaves 8 |
| 37 | 8967 ÷ 37 | leaves 13 |
Questions
Is 8967 a prime number?
No, 8967 is not a prime number. It is divisible by 3: 8967 = 3 × 2989.
What is the next prime after 8967?
8969.
What is the prime number before 8967?
8963.
What are the factors of 8967?
1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967.