Is 6003 a prime number?
No, 6003 is not a prime number. It is divisible by 3: 6003 = 3 × 2001.
Is 6003 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 √6003 ≈ 77.48. If none of them divides 6003, it is prime.
- 3
3 divides 6003 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6003 = 3^{2} \times 23 \times 29 \]Testing 6003 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6003 ÷ 2 | leaves 1 |
| 3 | 6003 ÷ 3 | divides exactly (2001) |
| 5 | 6003 ÷ 5 | leaves 3 |
| 7 | 6003 ÷ 7 | leaves 4 |
| 11 | 6003 ÷ 11 | leaves 8 |
| 13 | 6003 ÷ 13 | leaves 10 |
| 17 | 6003 ÷ 17 | leaves 2 |
| 19 | 6003 ÷ 19 | leaves 18 |
| 23 | 6003 ÷ 23 | divides exactly (261) |
| 29 | 6003 ÷ 29 | divides exactly (207) |
| 31 | 6003 ÷ 31 | leaves 20 |
| 37 | 6003 ÷ 37 | leaves 9 |
Questions
Is 6003 a prime number?
No, 6003 is not a prime number. It is divisible by 3: 6003 = 3 × 2001.
What is the next prime after 6003?
6007.
What is the prime number before 6003?
5987.
What are the factors of 6003?
1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003.