Is 6002 a prime number?
No, 6002 is not a prime number. It is divisible by 2: 6002 = 2 × 3001.
Is 6002 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 √6002 ≈ 77.47. If none of them divides 6002, it is prime.
- 3
2 divides 6002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6002 = 2 \times 3001 \]
Testing 6002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6002 ÷ 2 | divides exactly (3001) |
| 3 | 6002 ÷ 3 | leaves 2 |
| 5 | 6002 ÷ 5 | leaves 2 |
| 7 | 6002 ÷ 7 | leaves 3 |
| 11 | 6002 ÷ 11 | leaves 7 |
| 13 | 6002 ÷ 13 | leaves 9 |
| 17 | 6002 ÷ 17 | leaves 1 |
| 19 | 6002 ÷ 19 | leaves 17 |
| 23 | 6002 ÷ 23 | leaves 22 |
| 29 | 6002 ÷ 29 | leaves 28 |
| 31 | 6002 ÷ 31 | leaves 19 |
| 37 | 6002 ÷ 37 | leaves 8 |
Questions
Is 6002 a prime number?
No, 6002 is not a prime number. It is divisible by 2: 6002 = 2 × 3001.
What is the next prime after 6002?
6007.
What is the prime number before 6002?
5987.
What are the factors of 6002?
1, 2, 3001, 6002.