Is 3004 a prime number?
No, 3004 is not a prime number. It is divisible by 2: 3004 = 2 × 1502.
Is 3004 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 √3004 ≈ 54.81. If none of them divides 3004, it is prime.
- 3
2 divides 3004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3004 = 2^{2} \times 751 \]Testing 3004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3004 ÷ 2 | divides exactly (1502) |
| 3 | 3004 ÷ 3 | leaves 1 |
| 5 | 3004 ÷ 5 | leaves 4 |
| 7 | 3004 ÷ 7 | leaves 1 |
| 11 | 3004 ÷ 11 | leaves 1 |
| 13 | 3004 ÷ 13 | leaves 1 |
| 17 | 3004 ÷ 17 | leaves 12 |
| 19 | 3004 ÷ 19 | leaves 2 |
| 23 | 3004 ÷ 23 | leaves 14 |
| 29 | 3004 ÷ 29 | leaves 17 |
| 31 | 3004 ÷ 31 | leaves 28 |
| 37 | 3004 ÷ 37 | leaves 7 |
Questions
Is 3004 a prime number?
No, 3004 is not a prime number. It is divisible by 2: 3004 = 2 × 1502.
What is the next prime after 3004?
3011.
What is the prime number before 3004?
3001.
What are the factors of 3004?
1, 2, 4, 751, 1502, 3004.