Is 2513 a prime number?
No, 2513 is not a prime number. It is divisible by 7: 2513 = 7 × 359.
Is 2513 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 √2513 ≈ 50.13. If none of them divides 2513, it is prime.
- 3
7 divides 2513 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2513 = 7 \times 359 \]
Testing 2513 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2513 ÷ 2 | leaves 1 |
| 3 | 2513 ÷ 3 | leaves 2 |
| 5 | 2513 ÷ 5 | leaves 3 |
| 7 | 2513 ÷ 7 | divides exactly (359) |
| 11 | 2513 ÷ 11 | leaves 5 |
| 13 | 2513 ÷ 13 | leaves 4 |
| 17 | 2513 ÷ 17 | leaves 14 |
| 19 | 2513 ÷ 19 | leaves 5 |
| 23 | 2513 ÷ 23 | leaves 6 |
| 29 | 2513 ÷ 29 | leaves 19 |
| 31 | 2513 ÷ 31 | leaves 2 |
| 37 | 2513 ÷ 37 | leaves 34 |
Questions
Is 2513 a prime number?
No, 2513 is not a prime number. It is divisible by 7: 2513 = 7 × 359.
What is the next prime after 2513?
2521.
What is the prime number before 2513?
2503.
What are the factors of 2513?
1, 7, 359, 2513.