Is 8667 a prime number?
No, 8667 is not a prime number. It is divisible by 3: 8667 = 3 × 2889.
Is 8667 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 √8667 ≈ 93.10. If none of them divides 8667, it is prime.
- 3
3 divides 8667 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8667 = 3^{4} \times 107 \]Testing 8667 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8667 ÷ 2 | leaves 1 |
| 3 | 8667 ÷ 3 | divides exactly (2889) |
| 5 | 8667 ÷ 5 | leaves 2 |
| 7 | 8667 ÷ 7 | leaves 1 |
| 11 | 8667 ÷ 11 | leaves 10 |
| 13 | 8667 ÷ 13 | leaves 9 |
| 17 | 8667 ÷ 17 | leaves 14 |
| 19 | 8667 ÷ 19 | leaves 3 |
| 23 | 8667 ÷ 23 | leaves 19 |
| 29 | 8667 ÷ 29 | leaves 25 |
| 31 | 8667 ÷ 31 | leaves 18 |
| 37 | 8667 ÷ 37 | leaves 9 |
Questions
Is 8667 a prime number?
No, 8667 is not a prime number. It is divisible by 3: 8667 = 3 × 2889.
What is the next prime after 8667?
8669.
What is the prime number before 8667?
8663.
What are the factors of 8667?
1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667.