Is 5009 a prime number?
Yes, 5009 is a prime number. Its only factors are 1 and 5009.
Is 5009 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 √5009 ≈ 70.77. If none of them divides 5009, it is prime.
- 3
None of them divides 5009, so it is prime.
Testing 5009 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5009 ÷ 2 | leaves 1 |
| 3 | 5009 ÷ 3 | leaves 2 |
| 5 | 5009 ÷ 5 | leaves 4 |
| 7 | 5009 ÷ 7 | leaves 4 |
| 11 | 5009 ÷ 11 | leaves 4 |
| 13 | 5009 ÷ 13 | leaves 4 |
| 17 | 5009 ÷ 17 | leaves 11 |
| 19 | 5009 ÷ 19 | leaves 12 |
| 23 | 5009 ÷ 23 | leaves 18 |
| 29 | 5009 ÷ 29 | leaves 21 |
| 31 | 5009 ÷ 31 | leaves 18 |
| 37 | 5009 ÷ 37 | leaves 14 |
Questions
Is 5009 a prime number?
Yes, 5009 is a prime number. Its only factors are 1 and 5009.
What is the next prime after 5009?
5011.
What is the prime number before 5009?
5003.
What are the factors of 5009?
1, 5009.