Is 3364 a prime number?
No, 3364 is not a prime number. It is divisible by 2: 3364 = 2 × 1682.
Is 3364 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 √3364 ≈ 58.00. If none of them divides 3364, it is prime.
- 3
2 divides 3364 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3364 = 2^{2} \times 29^{2} \]Testing 3364 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3364 ÷ 2 | divides exactly (1682) |
| 3 | 3364 ÷ 3 | leaves 1 |
| 5 | 3364 ÷ 5 | leaves 4 |
| 7 | 3364 ÷ 7 | leaves 4 |
| 11 | 3364 ÷ 11 | leaves 9 |
| 13 | 3364 ÷ 13 | leaves 10 |
| 17 | 3364 ÷ 17 | leaves 15 |
| 19 | 3364 ÷ 19 | leaves 1 |
| 23 | 3364 ÷ 23 | leaves 6 |
| 29 | 3364 ÷ 29 | divides exactly (116) |
| 31 | 3364 ÷ 31 | leaves 16 |
| 37 | 3364 ÷ 37 | leaves 34 |
Questions
Is 3364 a prime number?
No, 3364 is not a prime number. It is divisible by 2: 3364 = 2 × 1682.
What is the next prime after 3364?
3371.
What is the prime number before 3364?
3361.
What are the factors of 3364?
1, 2, 4, 29, 58, 116, 841, 1682, 3364.