Is 5017 a prime number?
No, 5017 is not a prime number. It is divisible by 29: 5017 = 29 × 173.
Is 5017 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 √5017 ≈ 70.83. If none of them divides 5017, it is prime.
- 3
29 divides 5017 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5017 = 29 \times 173 \]
Testing 5017 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5017 ÷ 2 | leaves 1 |
| 3 | 5017 ÷ 3 | leaves 1 |
| 5 | 5017 ÷ 5 | leaves 2 |
| 7 | 5017 ÷ 7 | leaves 5 |
| 11 | 5017 ÷ 11 | leaves 1 |
| 13 | 5017 ÷ 13 | leaves 12 |
| 17 | 5017 ÷ 17 | leaves 2 |
| 19 | 5017 ÷ 19 | leaves 1 |
| 23 | 5017 ÷ 23 | leaves 3 |
| 29 | 5017 ÷ 29 | divides exactly (173) |
| 31 | 5017 ÷ 31 | leaves 26 |
| 37 | 5017 ÷ 37 | leaves 22 |
Questions
Is 5017 a prime number?
No, 5017 is not a prime number. It is divisible by 29: 5017 = 29 × 173.
What is the next prime after 5017?
5021.
What is the prime number before 5017?
5011.
What are the factors of 5017?
1, 29, 173, 5017.