Is 6000 a prime number?
No, 6000 is not a prime number. It is divisible by 2: 6000 = 2 × 3000.
Is 6000 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 √6000 ≈ 77.46. If none of them divides 6000, it is prime.
- 3
2 divides 6000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6000 = 2^{4} \times 3 \times 5^{3} \]Testing 6000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6000 ÷ 2 | divides exactly (3000) |
| 3 | 6000 ÷ 3 | divides exactly (2000) |
| 5 | 6000 ÷ 5 | divides exactly (1200) |
| 7 | 6000 ÷ 7 | leaves 1 |
| 11 | 6000 ÷ 11 | leaves 5 |
| 13 | 6000 ÷ 13 | leaves 7 |
| 17 | 6000 ÷ 17 | leaves 16 |
| 19 | 6000 ÷ 19 | leaves 15 |
| 23 | 6000 ÷ 23 | leaves 20 |
| 29 | 6000 ÷ 29 | leaves 26 |
| 31 | 6000 ÷ 31 | leaves 17 |
| 37 | 6000 ÷ 37 | leaves 6 |
Questions
Is 6000 a prime number?
No, 6000 is not a prime number. It is divisible by 2: 6000 = 2 × 3000.
What is the next prime after 6000?
6007.
What is the prime number before 6000?
5987.
What are the factors of 6000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000.