Is 6006 a prime number?
No, 6006 is not a prime number. It is divisible by 2: 6006 = 2 × 3003.
Is 6006 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 √6006 ≈ 77.50. If none of them divides 6006, it is prime.
- 3
2 divides 6006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6006 = 2 \times 3 \times 7 \times 11 \times 13 \]
Testing 6006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6006 ÷ 2 | divides exactly (3003) |
| 3 | 6006 ÷ 3 | divides exactly (2002) |
| 5 | 6006 ÷ 5 | leaves 1 |
| 7 | 6006 ÷ 7 | divides exactly (858) |
| 11 | 6006 ÷ 11 | divides exactly (546) |
| 13 | 6006 ÷ 13 | divides exactly (462) |
| 17 | 6006 ÷ 17 | leaves 5 |
| 19 | 6006 ÷ 19 | leaves 2 |
| 23 | 6006 ÷ 23 | leaves 3 |
| 29 | 6006 ÷ 29 | leaves 3 |
| 31 | 6006 ÷ 31 | leaves 23 |
| 37 | 6006 ÷ 37 | leaves 12 |
Questions
Is 6006 a prime number?
No, 6006 is not a prime number. It is divisible by 2: 6006 = 2 × 3003.
What is the next prime after 6006?
6007.
What is the prime number before 6006?
5987.
What are the factors of 6006?
1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006.