Is 6001 a prime number?
No, 6001 is not a prime number. It is divisible by 17: 6001 = 17 × 353.
Is 6001 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 √6001 ≈ 77.47. If none of them divides 6001, it is prime.
- 3
17 divides 6001 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6001 = 17 \times 353 \]
Testing 6001 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6001 ÷ 2 | leaves 1 |
| 3 | 6001 ÷ 3 | leaves 1 |
| 5 | 6001 ÷ 5 | leaves 1 |
| 7 | 6001 ÷ 7 | leaves 2 |
| 11 | 6001 ÷ 11 | leaves 6 |
| 13 | 6001 ÷ 13 | leaves 8 |
| 17 | 6001 ÷ 17 | divides exactly (353) |
| 19 | 6001 ÷ 19 | leaves 16 |
| 23 | 6001 ÷ 23 | leaves 21 |
| 29 | 6001 ÷ 29 | leaves 27 |
| 31 | 6001 ÷ 31 | leaves 18 |
| 37 | 6001 ÷ 37 | leaves 7 |
Questions
Is 6001 a prime number?
No, 6001 is not a prime number. It is divisible by 17: 6001 = 17 × 353.
What is the next prime after 6001?
6007.
What is the prime number before 6001?
5987.
What are the factors of 6001?
1, 17, 353, 6001.