Is 2587 a prime number?
No, 2587 is not a prime number. It is divisible by 13: 2587 = 13 × 199.
Is 2587 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 √2587 ≈ 50.86. If none of them divides 2587, it is prime.
- 3
13 divides 2587 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2587 = 13 \times 199 \]
Testing 2587 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2587 ÷ 2 | leaves 1 |
| 3 | 2587 ÷ 3 | leaves 1 |
| 5 | 2587 ÷ 5 | leaves 2 |
| 7 | 2587 ÷ 7 | leaves 4 |
| 11 | 2587 ÷ 11 | leaves 2 |
| 13 | 2587 ÷ 13 | divides exactly (199) |
| 17 | 2587 ÷ 17 | leaves 3 |
| 19 | 2587 ÷ 19 | leaves 3 |
| 23 | 2587 ÷ 23 | leaves 11 |
| 29 | 2587 ÷ 29 | leaves 6 |
| 31 | 2587 ÷ 31 | leaves 14 |
| 37 | 2587 ÷ 37 | leaves 34 |
Questions
Is 2587 a prime number?
No, 2587 is not a prime number. It is divisible by 13: 2587 = 13 × 199.
What is the next prime after 2587?
2591.
What is the prime number before 2587?
2579.
What are the factors of 2587?
1, 13, 199, 2587.