Is 3367 a prime number?
No, 3367 is not a prime number. It is divisible by 7: 3367 = 7 × 481.
Is 3367 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 √3367 ≈ 58.03. If none of them divides 3367, it is prime.
- 3
7 divides 3367 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3367 = 7 \times 13 \times 37 \]
Testing 3367 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3367 ÷ 2 | leaves 1 |
| 3 | 3367 ÷ 3 | leaves 1 |
| 5 | 3367 ÷ 5 | leaves 2 |
| 7 | 3367 ÷ 7 | divides exactly (481) |
| 11 | 3367 ÷ 11 | leaves 1 |
| 13 | 3367 ÷ 13 | divides exactly (259) |
| 17 | 3367 ÷ 17 | leaves 1 |
| 19 | 3367 ÷ 19 | leaves 4 |
| 23 | 3367 ÷ 23 | leaves 9 |
| 29 | 3367 ÷ 29 | leaves 3 |
| 31 | 3367 ÷ 31 | leaves 19 |
| 37 | 3367 ÷ 37 | divides exactly (91) |
Questions
Is 3367 a prime number?
No, 3367 is not a prime number. It is divisible by 7: 3367 = 7 × 481.
What is the next prime after 3367?
3371.
What is the prime number before 3367?
3361.
What are the factors of 3367?
1, 7, 13, 37, 91, 259, 481, 3367.