Is 3383 a prime number?
No, 3383 is not a prime number. It is divisible by 17: 3383 = 17 × 199.
Is 3383 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 √3383 ≈ 58.16. If none of them divides 3383, it is prime.
- 3
17 divides 3383 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3383 = 17 \times 199 \]
Testing 3383 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3383 ÷ 2 | leaves 1 |
| 3 | 3383 ÷ 3 | leaves 2 |
| 5 | 3383 ÷ 5 | leaves 3 |
| 7 | 3383 ÷ 7 | leaves 2 |
| 11 | 3383 ÷ 11 | leaves 6 |
| 13 | 3383 ÷ 13 | leaves 3 |
| 17 | 3383 ÷ 17 | divides exactly (199) |
| 19 | 3383 ÷ 19 | leaves 1 |
| 23 | 3383 ÷ 23 | leaves 2 |
| 29 | 3383 ÷ 29 | leaves 19 |
| 31 | 3383 ÷ 31 | leaves 4 |
| 37 | 3383 ÷ 37 | leaves 16 |
Questions
Is 3383 a prime number?
No, 3383 is not a prime number. It is divisible by 17: 3383 = 17 × 199.
What is the next prime after 3383?
3389.
What is the prime number before 3383?
3373.
What are the factors of 3383?
1, 17, 199, 3383.