Is 2004 a prime number?
No, 2004 is not a prime number. It is divisible by 2: 2004 = 2 × 1002.
Is 2004 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 √2004 ≈ 44.77. If none of them divides 2004, it is prime.
- 3
2 divides 2004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2004 = 2^{2} \times 3 \times 167 \]Testing 2004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2004 ÷ 2 | divides exactly (1002) |
| 3 | 2004 ÷ 3 | divides exactly (668) |
| 5 | 2004 ÷ 5 | leaves 4 |
| 7 | 2004 ÷ 7 | leaves 2 |
| 11 | 2004 ÷ 11 | leaves 2 |
| 13 | 2004 ÷ 13 | leaves 2 |
| 17 | 2004 ÷ 17 | leaves 15 |
| 19 | 2004 ÷ 19 | leaves 9 |
| 23 | 2004 ÷ 23 | leaves 3 |
| 29 | 2004 ÷ 29 | leaves 3 |
| 31 | 2004 ÷ 31 | leaves 20 |
| 37 | 2004 ÷ 37 | leaves 6 |
Questions
Is 2004 a prime number?
No, 2004 is not a prime number. It is divisible by 2: 2004 = 2 × 1002.
What is the next prime after 2004?
2011.
What is the prime number before 2004?
2003.
What are the factors of 2004?
1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.