Is 7004 a prime number?
No, 7004 is not a prime number. It is divisible by 2: 7004 = 2 × 3502.
Is 7004 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 √7004 ≈ 83.69. If none of them divides 7004, it is prime.
- 3
2 divides 7004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7004 = 2^{2} \times 17 \times 103 \]Testing 7004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7004 ÷ 2 | divides exactly (3502) |
| 3 | 7004 ÷ 3 | leaves 2 |
| 5 | 7004 ÷ 5 | leaves 4 |
| 7 | 7004 ÷ 7 | leaves 4 |
| 11 | 7004 ÷ 11 | leaves 8 |
| 13 | 7004 ÷ 13 | leaves 10 |
| 17 | 7004 ÷ 17 | divides exactly (412) |
| 19 | 7004 ÷ 19 | leaves 12 |
| 23 | 7004 ÷ 23 | leaves 12 |
| 29 | 7004 ÷ 29 | leaves 15 |
| 31 | 7004 ÷ 31 | leaves 29 |
| 37 | 7004 ÷ 37 | leaves 11 |
Questions
Is 7004 a prime number?
No, 7004 is not a prime number. It is divisible by 2: 7004 = 2 × 3502.
What is the next prime after 7004?
7013.
What is the prime number before 7004?
7001.
What are the factors of 7004?
1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004.