Is 3345 a prime number?
No, 3345 is not a prime number. It is divisible by 3: 3345 = 3 × 1115.
Is 3345 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 √3345 ≈ 57.84. If none of them divides 3345, it is prime.
- 3
3 divides 3345 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3345 = 3 \times 5 \times 223 \]
Testing 3345 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3345 ÷ 2 | leaves 1 |
| 3 | 3345 ÷ 3 | divides exactly (1115) |
| 5 | 3345 ÷ 5 | divides exactly (669) |
| 7 | 3345 ÷ 7 | leaves 6 |
| 11 | 3345 ÷ 11 | leaves 1 |
| 13 | 3345 ÷ 13 | leaves 4 |
| 17 | 3345 ÷ 17 | leaves 13 |
| 19 | 3345 ÷ 19 | leaves 1 |
| 23 | 3345 ÷ 23 | leaves 10 |
| 29 | 3345 ÷ 29 | leaves 10 |
| 31 | 3345 ÷ 31 | leaves 28 |
| 37 | 3345 ÷ 37 | leaves 15 |
Questions
Is 3345 a prime number?
No, 3345 is not a prime number. It is divisible by 3: 3345 = 3 × 1115.
What is the next prime after 3345?
3347.
What is the prime number before 3345?
3343.
What are the factors of 3345?
1, 3, 5, 15, 223, 669, 1115, 3345.