Is 6004 a prime number?
No, 6004 is not a prime number. It is divisible by 2: 6004 = 2 × 3002.
Is 6004 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 √6004 ≈ 77.49. If none of them divides 6004, it is prime.
- 3
2 divides 6004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6004 = 2^{2} \times 19 \times 79 \]Testing 6004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6004 ÷ 2 | divides exactly (3002) |
| 3 | 6004 ÷ 3 | leaves 1 |
| 5 | 6004 ÷ 5 | leaves 4 |
| 7 | 6004 ÷ 7 | leaves 5 |
| 11 | 6004 ÷ 11 | leaves 9 |
| 13 | 6004 ÷ 13 | leaves 11 |
| 17 | 6004 ÷ 17 | leaves 3 |
| 19 | 6004 ÷ 19 | divides exactly (316) |
| 23 | 6004 ÷ 23 | leaves 1 |
| 29 | 6004 ÷ 29 | leaves 1 |
| 31 | 6004 ÷ 31 | leaves 21 |
| 37 | 6004 ÷ 37 | leaves 10 |
Questions
Is 6004 a prime number?
No, 6004 is not a prime number. It is divisible by 2: 6004 = 2 × 3002.
What is the next prime after 6004?
6007.
What is the prime number before 6004?
5987.
What are the factors of 6004?
1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004.