Is 3309 a prime number?
No, 3309 is not a prime number. It is divisible by 3: 3309 = 3 × 1103.
Is 3309 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 √3309 ≈ 57.52. If none of them divides 3309, it is prime.
- 3
3 divides 3309 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3309 = 3 \times 1103 \]
Testing 3309 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3309 ÷ 2 | leaves 1 |
| 3 | 3309 ÷ 3 | divides exactly (1103) |
| 5 | 3309 ÷ 5 | leaves 4 |
| 7 | 3309 ÷ 7 | leaves 5 |
| 11 | 3309 ÷ 11 | leaves 9 |
| 13 | 3309 ÷ 13 | leaves 7 |
| 17 | 3309 ÷ 17 | leaves 11 |
| 19 | 3309 ÷ 19 | leaves 3 |
| 23 | 3309 ÷ 23 | leaves 20 |
| 29 | 3309 ÷ 29 | leaves 3 |
| 31 | 3309 ÷ 31 | leaves 23 |
| 37 | 3309 ÷ 37 | leaves 16 |
Questions
Is 3309 a prime number?
No, 3309 is not a prime number. It is divisible by 3: 3309 = 3 × 1103.
What is the next prime after 3309?
3313.
What is the prime number before 3309?
3307.
What are the factors of 3309?
1, 3, 1103, 3309.