Is 3362 a prime number?
No, 3362 is not a prime number. It is divisible by 2: 3362 = 2 × 1681.
Is 3362 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 √3362 ≈ 57.98. If none of them divides 3362, it is prime.
- 3
2 divides 3362 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3362 = 2 \times 41^{2} \]Testing 3362 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3362 ÷ 2 | divides exactly (1681) |
| 3 | 3362 ÷ 3 | leaves 2 |
| 5 | 3362 ÷ 5 | leaves 2 |
| 7 | 3362 ÷ 7 | leaves 2 |
| 11 | 3362 ÷ 11 | leaves 7 |
| 13 | 3362 ÷ 13 | leaves 8 |
| 17 | 3362 ÷ 17 | leaves 13 |
| 19 | 3362 ÷ 19 | leaves 18 |
| 23 | 3362 ÷ 23 | leaves 4 |
| 29 | 3362 ÷ 29 | leaves 27 |
| 31 | 3362 ÷ 31 | leaves 14 |
| 37 | 3362 ÷ 37 | leaves 32 |
Questions
Is 3362 a prime number?
No, 3362 is not a prime number. It is divisible by 2: 3362 = 2 × 1681.
What is the next prime after 3362?
3371.
What is the prime number before 3362?
3361.
What are the factors of 3362?
1, 2, 41, 82, 1681, 3362.