Is 3393 a prime number?
No, 3393 is not a prime number. It is divisible by 3: 3393 = 3 × 1131.
Is 3393 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 √3393 ≈ 58.25. If none of them divides 3393, it is prime.
- 3
3 divides 3393 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3393 = 3^{2} \times 13 \times 29 \]Testing 3393 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3393 ÷ 2 | leaves 1 |
| 3 | 3393 ÷ 3 | divides exactly (1131) |
| 5 | 3393 ÷ 5 | leaves 3 |
| 7 | 3393 ÷ 7 | leaves 5 |
| 11 | 3393 ÷ 11 | leaves 5 |
| 13 | 3393 ÷ 13 | divides exactly (261) |
| 17 | 3393 ÷ 17 | leaves 10 |
| 19 | 3393 ÷ 19 | leaves 11 |
| 23 | 3393 ÷ 23 | leaves 12 |
| 29 | 3393 ÷ 29 | divides exactly (117) |
| 31 | 3393 ÷ 31 | leaves 14 |
| 37 | 3393 ÷ 37 | leaves 26 |
Questions
Is 3393 a prime number?
No, 3393 is not a prime number. It is divisible by 3: 3393 = 3 × 1131.
What is the next prime after 3393?
3407.
What is the prime number before 3393?
3391.
What are the factors of 3393?
1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393.