Is 2006 a prime number?
No, 2006 is not a prime number. It is divisible by 2: 2006 = 2 × 1003.
Is 2006 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 √2006 ≈ 44.79. If none of them divides 2006, it is prime.
- 3
2 divides 2006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2006 = 2 \times 17 \times 59 \]
Testing 2006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2006 ÷ 2 | divides exactly (1003) |
| 3 | 2006 ÷ 3 | leaves 2 |
| 5 | 2006 ÷ 5 | leaves 1 |
| 7 | 2006 ÷ 7 | leaves 4 |
| 11 | 2006 ÷ 11 | leaves 4 |
| 13 | 2006 ÷ 13 | leaves 4 |
| 17 | 2006 ÷ 17 | divides exactly (118) |
| 19 | 2006 ÷ 19 | leaves 11 |
| 23 | 2006 ÷ 23 | leaves 5 |
| 29 | 2006 ÷ 29 | leaves 5 |
| 31 | 2006 ÷ 31 | leaves 22 |
| 37 | 2006 ÷ 37 | leaves 8 |
Questions
Is 2006 a prime number?
No, 2006 is not a prime number. It is divisible by 2: 2006 = 2 × 1003.
What is the next prime after 2006?
2011.
What is the prime number before 2006?
2003.
What are the factors of 2006?
1, 2, 17, 34, 59, 118, 1003, 2006.