Is 3341 a prime number?
No, 3341 is not a prime number. It is divisible by 13: 3341 = 13 × 257.
Is 3341 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 √3341 ≈ 57.80. If none of them divides 3341, it is prime.
- 3
13 divides 3341 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3341 = 13 \times 257 \]
Testing 3341 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3341 ÷ 2 | leaves 1 |
| 3 | 3341 ÷ 3 | leaves 2 |
| 5 | 3341 ÷ 5 | leaves 1 |
| 7 | 3341 ÷ 7 | leaves 2 |
| 11 | 3341 ÷ 11 | leaves 8 |
| 13 | 3341 ÷ 13 | divides exactly (257) |
| 17 | 3341 ÷ 17 | leaves 9 |
| 19 | 3341 ÷ 19 | leaves 16 |
| 23 | 3341 ÷ 23 | leaves 6 |
| 29 | 3341 ÷ 29 | leaves 6 |
| 31 | 3341 ÷ 31 | leaves 24 |
| 37 | 3341 ÷ 37 | leaves 11 |
Questions
Is 3341 a prime number?
No, 3341 is not a prime number. It is divisible by 13: 3341 = 13 × 257.
What is the next prime after 3341?
3343.
What is the prime number before 3341?
3331.
What are the factors of 3341?
1, 13, 257, 3341.