Is 2507 a prime number?
No, 2507 is not a prime number. It is divisible by 23: 2507 = 23 × 109.
Is 2507 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 √2507 ≈ 50.07. If none of them divides 2507, it is prime.
- 3
23 divides 2507 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2507 = 23 \times 109 \]
Testing 2507 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2507 ÷ 2 | leaves 1 |
| 3 | 2507 ÷ 3 | leaves 2 |
| 5 | 2507 ÷ 5 | leaves 2 |
| 7 | 2507 ÷ 7 | leaves 1 |
| 11 | 2507 ÷ 11 | leaves 10 |
| 13 | 2507 ÷ 13 | leaves 11 |
| 17 | 2507 ÷ 17 | leaves 8 |
| 19 | 2507 ÷ 19 | leaves 18 |
| 23 | 2507 ÷ 23 | divides exactly (109) |
| 29 | 2507 ÷ 29 | leaves 13 |
| 31 | 2507 ÷ 31 | leaves 27 |
| 37 | 2507 ÷ 37 | leaves 28 |
Questions
Is 2507 a prime number?
No, 2507 is not a prime number. It is divisible by 23: 2507 = 23 × 109.
What is the next prime after 2507?
2521.
What is the prime number before 2507?
2503.
What are the factors of 2507?
1, 23, 109, 2507.