Is 3017 a prime number?
No, 3017 is not a prime number. It is divisible by 7: 3017 = 7 × 431.
Is 3017 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 √3017 ≈ 54.93. If none of them divides 3017, it is prime.
- 3
7 divides 3017 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3017 = 7 \times 431 \]
Testing 3017 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3017 ÷ 2 | leaves 1 |
| 3 | 3017 ÷ 3 | leaves 2 |
| 5 | 3017 ÷ 5 | leaves 2 |
| 7 | 3017 ÷ 7 | divides exactly (431) |
| 11 | 3017 ÷ 11 | leaves 3 |
| 13 | 3017 ÷ 13 | leaves 1 |
| 17 | 3017 ÷ 17 | leaves 8 |
| 19 | 3017 ÷ 19 | leaves 15 |
| 23 | 3017 ÷ 23 | leaves 4 |
| 29 | 3017 ÷ 29 | leaves 1 |
| 31 | 3017 ÷ 31 | leaves 10 |
| 37 | 3017 ÷ 37 | leaves 20 |
Questions
Is 3017 a prime number?
No, 3017 is not a prime number. It is divisible by 7: 3017 = 7 × 431.
What is the next prime after 3017?
3019.
What is the prime number before 3017?
3011.
What are the factors of 3017?
1, 7, 431, 3017.