Is 5513 a prime number?
No, 5513 is not a prime number. It is divisible by 37: 5513 = 37 × 149.
Is 5513 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 √5513 ≈ 74.25. If none of them divides 5513, it is prime.
- 3
37 divides 5513 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5513 = 37 \times 149 \]
Testing 5513 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5513 ÷ 2 | leaves 1 |
| 3 | 5513 ÷ 3 | leaves 2 |
| 5 | 5513 ÷ 5 | leaves 3 |
| 7 | 5513 ÷ 7 | leaves 4 |
| 11 | 5513 ÷ 11 | leaves 2 |
| 13 | 5513 ÷ 13 | leaves 1 |
| 17 | 5513 ÷ 17 | leaves 5 |
| 19 | 5513 ÷ 19 | leaves 3 |
| 23 | 5513 ÷ 23 | leaves 16 |
| 29 | 5513 ÷ 29 | leaves 3 |
| 31 | 5513 ÷ 31 | leaves 26 |
| 37 | 5513 ÷ 37 | divides exactly (149) |
Questions
Is 5513 a prime number?
No, 5513 is not a prime number. It is divisible by 37: 5513 = 37 × 149.
What is the next prime after 5513?
5519.
What is the prime number before 5513?
5507.
What are the factors of 5513?
1, 37, 149, 5513.