Is 3317 a prime number?
No, 3317 is not a prime number. It is divisible by 31: 3317 = 31 × 107.
Is 3317 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 √3317 ≈ 57.59. If none of them divides 3317, it is prime.
- 3
31 divides 3317 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3317 = 31 \times 107 \]
Testing 3317 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3317 ÷ 2 | leaves 1 |
| 3 | 3317 ÷ 3 | leaves 2 |
| 5 | 3317 ÷ 5 | leaves 2 |
| 7 | 3317 ÷ 7 | leaves 6 |
| 11 | 3317 ÷ 11 | leaves 6 |
| 13 | 3317 ÷ 13 | leaves 2 |
| 17 | 3317 ÷ 17 | leaves 2 |
| 19 | 3317 ÷ 19 | leaves 11 |
| 23 | 3317 ÷ 23 | leaves 5 |
| 29 | 3317 ÷ 29 | leaves 11 |
| 31 | 3317 ÷ 31 | divides exactly (107) |
| 37 | 3317 ÷ 37 | leaves 24 |
Questions
Is 3317 a prime number?
No, 3317 is not a prime number. It is divisible by 31: 3317 = 31 × 107.
What is the next prime after 3317?
3319.
What is the prime number before 3317?
3313.
What are the factors of 3317?
1, 31, 107, 3317.