Is 3397 a prime number?
No, 3397 is not a prime number. It is divisible by 43: 3397 = 43 × 79.
Is 3397 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 √3397 ≈ 58.28. If none of them divides 3397, it is prime.
- 3
43 divides 3397 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3397 = 43 \times 79 \]
Testing 3397 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3397 ÷ 2 | leaves 1 |
| 3 | 3397 ÷ 3 | leaves 1 |
| 5 | 3397 ÷ 5 | leaves 2 |
| 7 | 3397 ÷ 7 | leaves 2 |
| 11 | 3397 ÷ 11 | leaves 9 |
| 13 | 3397 ÷ 13 | leaves 4 |
| 17 | 3397 ÷ 17 | leaves 14 |
| 19 | 3397 ÷ 19 | leaves 15 |
| 23 | 3397 ÷ 23 | leaves 16 |
| 29 | 3397 ÷ 29 | leaves 4 |
| 31 | 3397 ÷ 31 | leaves 18 |
| 37 | 3397 ÷ 37 | leaves 30 |
Questions
Is 3397 a prime number?
No, 3397 is not a prime number. It is divisible by 43: 3397 = 43 × 79.
What is the next prime after 3397?
3407.
What is the prime number before 3397?
3391.
What are the factors of 3397?
1, 43, 79, 3397.