Is 3349 a prime number?
No, 3349 is not a prime number. It is divisible by 17: 3349 = 17 × 197.
Is 3349 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 √3349 ≈ 57.87. If none of them divides 3349, it is prime.
- 3
17 divides 3349 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3349 = 17 \times 197 \]
Testing 3349 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3349 ÷ 2 | leaves 1 |
| 3 | 3349 ÷ 3 | leaves 1 |
| 5 | 3349 ÷ 5 | leaves 4 |
| 7 | 3349 ÷ 7 | leaves 3 |
| 11 | 3349 ÷ 11 | leaves 5 |
| 13 | 3349 ÷ 13 | leaves 8 |
| 17 | 3349 ÷ 17 | divides exactly (197) |
| 19 | 3349 ÷ 19 | leaves 5 |
| 23 | 3349 ÷ 23 | leaves 14 |
| 29 | 3349 ÷ 29 | leaves 14 |
| 31 | 3349 ÷ 31 | leaves 1 |
| 37 | 3349 ÷ 37 | leaves 19 |
Questions
Is 3349 a prime number?
No, 3349 is not a prime number. It is divisible by 17: 3349 = 17 × 197.
What is the next prime after 3349?
3359.
What is the prime number before 3349?
3347.
What are the factors of 3349?
1, 17, 197, 3349.