Is 509 a prime number?
Yes, 509 is a prime number. Its only factors are 1 and 509.
Is 509 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 √509 ≈ 22.56. If none of them divides 509, it is prime.
- 3
None of them divides 509, so it is prime.
Testing 509 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 509 ÷ 2 | leaves 1 |
| 3 | 509 ÷ 3 | leaves 2 |
| 5 | 509 ÷ 5 | leaves 4 |
| 7 | 509 ÷ 7 | leaves 5 |
| 11 | 509 ÷ 11 | leaves 3 |
| 13 | 509 ÷ 13 | leaves 2 |
| 17 | 509 ÷ 17 | leaves 16 |
| 19 | 509 ÷ 19 | leaves 15 |
Questions
Is 509 a prime number?
Yes, 509 is a prime number. Its only factors are 1 and 509.
What is the next prime after 509?
521.
What is the prime number before 509?
503.
What are the factors of 509?
1, 509.