Is 9367 a prime number?
No, 9367 is not a prime number. It is divisible by 17: 9367 = 17 × 551.
Is 9367 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 √9367 ≈ 96.78. If none of them divides 9367, it is prime.
- 3
17 divides 9367 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9367 = 17 \times 19 \times 29 \]
Testing 9367 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9367 ÷ 2 | leaves 1 |
| 3 | 9367 ÷ 3 | leaves 1 |
| 5 | 9367 ÷ 5 | leaves 2 |
| 7 | 9367 ÷ 7 | leaves 1 |
| 11 | 9367 ÷ 11 | leaves 6 |
| 13 | 9367 ÷ 13 | leaves 7 |
| 17 | 9367 ÷ 17 | divides exactly (551) |
| 19 | 9367 ÷ 19 | divides exactly (493) |
| 23 | 9367 ÷ 23 | leaves 6 |
| 29 | 9367 ÷ 29 | divides exactly (323) |
| 31 | 9367 ÷ 31 | leaves 5 |
| 37 | 9367 ÷ 37 | leaves 6 |
Questions
Is 9367 a prime number?
No, 9367 is not a prime number. It is divisible by 17: 9367 = 17 × 551.
What is the next prime after 9367?
9371.
What is the prime number before 9367?
9349.
What are the factors of 9367?
1, 17, 19, 29, 323, 493, 551, 9367.