Is 2504 a prime number?
No, 2504 is not a prime number. It is divisible by 2: 2504 = 2 × 1252.
Is 2504 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 √2504 ≈ 50.04. If none of them divides 2504, it is prime.
- 3
2 divides 2504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2504 = 2^{3} \times 313 \]Testing 2504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2504 ÷ 2 | divides exactly (1252) |
| 3 | 2504 ÷ 3 | leaves 2 |
| 5 | 2504 ÷ 5 | leaves 4 |
| 7 | 2504 ÷ 7 | leaves 5 |
| 11 | 2504 ÷ 11 | leaves 7 |
| 13 | 2504 ÷ 13 | leaves 8 |
| 17 | 2504 ÷ 17 | leaves 5 |
| 19 | 2504 ÷ 19 | leaves 15 |
| 23 | 2504 ÷ 23 | leaves 20 |
| 29 | 2504 ÷ 29 | leaves 10 |
| 31 | 2504 ÷ 31 | leaves 24 |
| 37 | 2504 ÷ 37 | leaves 25 |
Questions
Is 2504 a prime number?
No, 2504 is not a prime number. It is divisible by 2: 2504 = 2 × 1252.
What is the next prime after 2504?
2521.
What is the prime number before 2504?
2503.
What are the factors of 2504?
1, 2, 4, 8, 313, 626, 1252, 2504.