Is 4017 a prime number?
No, 4017 is not a prime number. It is divisible by 3: 4017 = 3 × 1339.
Is 4017 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 √4017 ≈ 63.38. If none of them divides 4017, it is prime.
- 3
3 divides 4017 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4017 = 3 \times 13 \times 103 \]
Testing 4017 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4017 ÷ 2 | leaves 1 |
| 3 | 4017 ÷ 3 | divides exactly (1339) |
| 5 | 4017 ÷ 5 | leaves 2 |
| 7 | 4017 ÷ 7 | leaves 6 |
| 11 | 4017 ÷ 11 | leaves 2 |
| 13 | 4017 ÷ 13 | divides exactly (309) |
| 17 | 4017 ÷ 17 | leaves 5 |
| 19 | 4017 ÷ 19 | leaves 8 |
| 23 | 4017 ÷ 23 | leaves 15 |
| 29 | 4017 ÷ 29 | leaves 15 |
| 31 | 4017 ÷ 31 | leaves 18 |
| 37 | 4017 ÷ 37 | leaves 21 |
Questions
Is 4017 a prime number?
No, 4017 is not a prime number. It is divisible by 3: 4017 = 3 × 1339.
What is the next prime after 4017?
4019.
What is the prime number before 4017?
4013.
What are the factors of 4017?
1, 3, 13, 39, 103, 309, 1339, 4017.