Is 5509 a prime number?
No, 5509 is not a prime number. It is divisible by 7: 5509 = 7 × 787.
Is 5509 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 √5509 ≈ 74.22. If none of them divides 5509, it is prime.
- 3
7 divides 5509 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5509 = 7 \times 787 \]
Testing 5509 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5509 ÷ 2 | leaves 1 |
| 3 | 5509 ÷ 3 | leaves 1 |
| 5 | 5509 ÷ 5 | leaves 4 |
| 7 | 5509 ÷ 7 | divides exactly (787) |
| 11 | 5509 ÷ 11 | leaves 9 |
| 13 | 5509 ÷ 13 | leaves 10 |
| 17 | 5509 ÷ 17 | leaves 1 |
| 19 | 5509 ÷ 19 | leaves 18 |
| 23 | 5509 ÷ 23 | leaves 12 |
| 29 | 5509 ÷ 29 | leaves 28 |
| 31 | 5509 ÷ 31 | leaves 22 |
| 37 | 5509 ÷ 37 | leaves 33 |
Questions
Is 5509 a prime number?
No, 5509 is not a prime number. It is divisible by 7: 5509 = 7 × 787.
What is the next prime after 5509?
5519.
What is the prime number before 5509?
5507.
What are the factors of 5509?
1, 7, 787, 5509.