Is 1167 a prime number?
No, 1167 is not a prime number. It is divisible by 3: 1167 = 3 × 389.
Is 1167 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 √1167 ≈ 34.16. If none of them divides 1167, it is prime.
- 3
3 divides 1167 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1167 = 3 \times 389 \]
Testing 1167 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1167 ÷ 2 | leaves 1 |
| 3 | 1167 ÷ 3 | divides exactly (389) |
| 5 | 1167 ÷ 5 | leaves 2 |
| 7 | 1167 ÷ 7 | leaves 5 |
| 11 | 1167 ÷ 11 | leaves 1 |
| 13 | 1167 ÷ 13 | leaves 10 |
| 17 | 1167 ÷ 17 | leaves 11 |
| 19 | 1167 ÷ 19 | leaves 8 |
| 23 | 1167 ÷ 23 | leaves 17 |
| 29 | 1167 ÷ 29 | leaves 7 |
| 31 | 1167 ÷ 31 | leaves 20 |
Questions
Is 1167 a prime number?
No, 1167 is not a prime number. It is divisible by 3: 1167 = 3 × 389.
What is the next prime after 1167?
1171.
What is the prime number before 1167?
1163.
What are the factors of 1167?
1, 3, 389, 1167.