Is 3365 a prime number?
No, 3365 is not a prime number. It is divisible by 5: 3365 = 5 × 673.
Is 3365 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 √3365 ≈ 58.01. If none of them divides 3365, it is prime.
- 3
5 divides 3365 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3365 = 5 \times 673 \]
Testing 3365 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3365 ÷ 2 | leaves 1 |
| 3 | 3365 ÷ 3 | leaves 2 |
| 5 | 3365 ÷ 5 | divides exactly (673) |
| 7 | 3365 ÷ 7 | leaves 5 |
| 11 | 3365 ÷ 11 | leaves 10 |
| 13 | 3365 ÷ 13 | leaves 11 |
| 17 | 3365 ÷ 17 | leaves 16 |
| 19 | 3365 ÷ 19 | leaves 2 |
| 23 | 3365 ÷ 23 | leaves 7 |
| 29 | 3365 ÷ 29 | leaves 1 |
| 31 | 3365 ÷ 31 | leaves 17 |
| 37 | 3365 ÷ 37 | leaves 35 |
Questions
Is 3365 a prime number?
No, 3365 is not a prime number. It is divisible by 5: 3365 = 5 × 673.
What is the next prime after 3365?
3371.
What is the prime number before 3365?
3361.
What are the factors of 3365?
1, 5, 673, 3365.