Is 2567 a prime number?
No, 2567 is not a prime number. It is divisible by 17: 2567 = 17 × 151.
Is 2567 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 √2567 ≈ 50.67. If none of them divides 2567, it is prime.
- 3
17 divides 2567 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2567 = 17 \times 151 \]
Testing 2567 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2567 ÷ 2 | leaves 1 |
| 3 | 2567 ÷ 3 | leaves 2 |
| 5 | 2567 ÷ 5 | leaves 2 |
| 7 | 2567 ÷ 7 | leaves 5 |
| 11 | 2567 ÷ 11 | leaves 4 |
| 13 | 2567 ÷ 13 | leaves 6 |
| 17 | 2567 ÷ 17 | divides exactly (151) |
| 19 | 2567 ÷ 19 | leaves 2 |
| 23 | 2567 ÷ 23 | leaves 14 |
| 29 | 2567 ÷ 29 | leaves 15 |
| 31 | 2567 ÷ 31 | leaves 25 |
| 37 | 2567 ÷ 37 | leaves 14 |
Questions
Is 2567 a prime number?
No, 2567 is not a prime number. It is divisible by 17: 2567 = 17 × 151.
What is the next prime after 2567?
2579.
What is the prime number before 2567?
2557.
What are the factors of 2567?
1, 17, 151, 2567.