Is 3342 a prime number?
No, 3342 is not a prime number. It is divisible by 2: 3342 = 2 × 1671.
Is 3342 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 √3342 ≈ 57.81. If none of them divides 3342, it is prime.
- 3
2 divides 3342 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3342 = 2 \times 3 \times 557 \]
Testing 3342 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3342 ÷ 2 | divides exactly (1671) |
| 3 | 3342 ÷ 3 | divides exactly (1114) |
| 5 | 3342 ÷ 5 | leaves 2 |
| 7 | 3342 ÷ 7 | leaves 3 |
| 11 | 3342 ÷ 11 | leaves 9 |
| 13 | 3342 ÷ 13 | leaves 1 |
| 17 | 3342 ÷ 17 | leaves 10 |
| 19 | 3342 ÷ 19 | leaves 17 |
| 23 | 3342 ÷ 23 | leaves 7 |
| 29 | 3342 ÷ 29 | leaves 7 |
| 31 | 3342 ÷ 31 | leaves 25 |
| 37 | 3342 ÷ 37 | leaves 12 |
Questions
Is 3342 a prime number?
No, 3342 is not a prime number. It is divisible by 2: 3342 = 2 × 1671.
What is the next prime after 3342?
3343.
What is the prime number before 3342?
3331.
What are the factors of 3342?
1, 2, 3, 6, 557, 1114, 1671, 3342.