Is 2007 a prime number?
No, 2007 is not a prime number. It is divisible by 3: 2007 = 3 × 669.
Is 2007 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 √2007 ≈ 44.80. If none of them divides 2007, it is prime.
- 3
3 divides 2007 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2007 = 3^{2} \times 223 \]Testing 2007 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2007 ÷ 2 | leaves 1 |
| 3 | 2007 ÷ 3 | divides exactly (669) |
| 5 | 2007 ÷ 5 | leaves 2 |
| 7 | 2007 ÷ 7 | leaves 5 |
| 11 | 2007 ÷ 11 | leaves 5 |
| 13 | 2007 ÷ 13 | leaves 5 |
| 17 | 2007 ÷ 17 | leaves 1 |
| 19 | 2007 ÷ 19 | leaves 12 |
| 23 | 2007 ÷ 23 | leaves 6 |
| 29 | 2007 ÷ 29 | leaves 6 |
| 31 | 2007 ÷ 31 | leaves 23 |
| 37 | 2007 ÷ 37 | leaves 9 |
Questions
Is 2007 a prime number?
No, 2007 is not a prime number. It is divisible by 3: 2007 = 3 × 669.
What is the next prime after 2007?
2011.
What is the prime number before 2007?
2003.
What are the factors of 2007?
1, 3, 9, 223, 669, 2007.