Is 3006 a prime number?
No, 3006 is not a prime number. It is divisible by 2: 3006 = 2 × 1503.
Is 3006 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 √3006 ≈ 54.83. If none of them divides 3006, it is prime.
- 3
2 divides 3006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3006 = 2 \times 3^{2} \times 167 \]Testing 3006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3006 ÷ 2 | divides exactly (1503) |
| 3 | 3006 ÷ 3 | divides exactly (1002) |
| 5 | 3006 ÷ 5 | leaves 1 |
| 7 | 3006 ÷ 7 | leaves 3 |
| 11 | 3006 ÷ 11 | leaves 3 |
| 13 | 3006 ÷ 13 | leaves 3 |
| 17 | 3006 ÷ 17 | leaves 14 |
| 19 | 3006 ÷ 19 | leaves 4 |
| 23 | 3006 ÷ 23 | leaves 16 |
| 29 | 3006 ÷ 29 | leaves 19 |
| 31 | 3006 ÷ 31 | leaves 30 |
| 37 | 3006 ÷ 37 | leaves 9 |
Questions
Is 3006 a prime number?
No, 3006 is not a prime number. It is divisible by 2: 3006 = 2 × 1503.
What is the next prime after 3006?
3011.
What is the prime number before 3006?
3001.
What are the factors of 3006?
1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006.