Is 2009 a prime number?
No, 2009 is not a prime number. It is divisible by 7: 2009 = 7 × 287.
Is 2009 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 √2009 ≈ 44.82. If none of them divides 2009, it is prime.
- 3
7 divides 2009 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2009 = 7^{2} \times 41 \]Testing 2009 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2009 ÷ 2 | leaves 1 |
| 3 | 2009 ÷ 3 | leaves 2 |
| 5 | 2009 ÷ 5 | leaves 4 |
| 7 | 2009 ÷ 7 | divides exactly (287) |
| 11 | 2009 ÷ 11 | leaves 7 |
| 13 | 2009 ÷ 13 | leaves 7 |
| 17 | 2009 ÷ 17 | leaves 3 |
| 19 | 2009 ÷ 19 | leaves 14 |
| 23 | 2009 ÷ 23 | leaves 8 |
| 29 | 2009 ÷ 29 | leaves 8 |
| 31 | 2009 ÷ 31 | leaves 25 |
| 37 | 2009 ÷ 37 | leaves 11 |
Questions
Is 2009 a prime number?
No, 2009 is not a prime number. It is divisible by 7: 2009 = 7 × 287.
What is the next prime after 2009?
2011.
What is the prime number before 2009?
2003.
What are the factors of 2009?
1, 7, 41, 49, 287, 2009.