Is 2209 a prime number?
No, 2209 is not a prime number. It is divisible by 47: 2209 = 47 × 47.
Is 2209 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 √2209 ≈ 47.00. If none of them divides 2209, it is prime.
- 3
47 divides 2209 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2209 = 47^{2} \]Testing 2209 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2209 ÷ 2 | leaves 1 |
| 3 | 2209 ÷ 3 | leaves 1 |
| 5 | 2209 ÷ 5 | leaves 4 |
| 7 | 2209 ÷ 7 | leaves 4 |
| 11 | 2209 ÷ 11 | leaves 9 |
| 13 | 2209 ÷ 13 | leaves 12 |
| 17 | 2209 ÷ 17 | leaves 16 |
| 19 | 2209 ÷ 19 | leaves 5 |
| 23 | 2209 ÷ 23 | leaves 1 |
| 29 | 2209 ÷ 29 | leaves 5 |
| 31 | 2209 ÷ 31 | leaves 8 |
| 37 | 2209 ÷ 37 | leaves 26 |
Questions
Is 2209 a prime number?
No, 2209 is not a prime number. It is divisible by 47: 2209 = 47 × 47.
What is the next prime after 2209?
2213.
What is the prime number before 2209?
2207.
What are the factors of 2209?
1, 47, 2209.