Is 2167 a prime number?
No, 2167 is not a prime number. It is divisible by 11: 2167 = 11 × 197.
Is 2167 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 √2167 ≈ 46.55. If none of them divides 2167, it is prime.
- 3
11 divides 2167 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2167 = 11 \times 197 \]
Testing 2167 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2167 ÷ 2 | leaves 1 |
| 3 | 2167 ÷ 3 | leaves 1 |
| 5 | 2167 ÷ 5 | leaves 2 |
| 7 | 2167 ÷ 7 | leaves 4 |
| 11 | 2167 ÷ 11 | divides exactly (197) |
| 13 | 2167 ÷ 13 | leaves 9 |
| 17 | 2167 ÷ 17 | leaves 8 |
| 19 | 2167 ÷ 19 | leaves 1 |
| 23 | 2167 ÷ 23 | leaves 5 |
| 29 | 2167 ÷ 29 | leaves 21 |
| 31 | 2167 ÷ 31 | leaves 28 |
| 37 | 2167 ÷ 37 | leaves 21 |
Questions
Is 2167 a prime number?
No, 2167 is not a prime number. It is divisible by 11: 2167 = 11 × 197.
What is the next prime after 2167?
2179.
What is the prime number before 2167?
2161.
What are the factors of 2167?
1, 11, 197, 2167.