Is 3381 a prime number?
No, 3381 is not a prime number. It is divisible by 3: 3381 = 3 × 1127.
Is 3381 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 √3381 ≈ 58.15. If none of them divides 3381, it is prime.
- 3
3 divides 3381 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3381 = 3 \times 7^{2} \times 23 \]Testing 3381 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3381 ÷ 2 | leaves 1 |
| 3 | 3381 ÷ 3 | divides exactly (1127) |
| 5 | 3381 ÷ 5 | leaves 1 |
| 7 | 3381 ÷ 7 | divides exactly (483) |
| 11 | 3381 ÷ 11 | leaves 4 |
| 13 | 3381 ÷ 13 | leaves 1 |
| 17 | 3381 ÷ 17 | leaves 15 |
| 19 | 3381 ÷ 19 | leaves 18 |
| 23 | 3381 ÷ 23 | divides exactly (147) |
| 29 | 3381 ÷ 29 | leaves 17 |
| 31 | 3381 ÷ 31 | leaves 2 |
| 37 | 3381 ÷ 37 | leaves 14 |
Questions
Is 3381 a prime number?
No, 3381 is not a prime number. It is divisible by 3: 3381 = 3 × 1127.
What is the next prime after 3381?
3389.
What is the prime number before 3381?
3373.
What are the factors of 3381?
1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381.