Is 3000 a prime number?
No, 3000 is not a prime number. It is divisible by 2: 3000 = 2 × 1500.
Is 3000 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 √3000 ≈ 54.77. If none of them divides 3000, it is prime.
- 3
2 divides 3000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3000 = 2^{3} \times 3 \times 5^{3} \]Testing 3000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3000 ÷ 2 | divides exactly (1500) |
| 3 | 3000 ÷ 3 | divides exactly (1000) |
| 5 | 3000 ÷ 5 | divides exactly (600) |
| 7 | 3000 ÷ 7 | leaves 4 |
| 11 | 3000 ÷ 11 | leaves 8 |
| 13 | 3000 ÷ 13 | leaves 10 |
| 17 | 3000 ÷ 17 | leaves 8 |
| 19 | 3000 ÷ 19 | leaves 17 |
| 23 | 3000 ÷ 23 | leaves 10 |
| 29 | 3000 ÷ 29 | leaves 13 |
| 31 | 3000 ÷ 31 | leaves 24 |
| 37 | 3000 ÷ 37 | leaves 3 |
Questions
Is 3000 a prime number?
No, 3000 is not a prime number. It is divisible by 2: 3000 = 2 × 1500.
What is the next prime after 3000?
3001.
What is the prime number before 3000?
2999.
What are the factors of 3000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000.