Is 7005 a prime number?
No, 7005 is not a prime number. It is divisible by 3: 7005 = 3 × 2335.
Is 7005 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 √7005 ≈ 83.70. If none of them divides 7005, it is prime.
- 3
3 divides 7005 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7005 = 3 \times 5 \times 467 \]
Testing 7005 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7005 ÷ 2 | leaves 1 |
| 3 | 7005 ÷ 3 | divides exactly (2335) |
| 5 | 7005 ÷ 5 | divides exactly (1401) |
| 7 | 7005 ÷ 7 | leaves 5 |
| 11 | 7005 ÷ 11 | leaves 9 |
| 13 | 7005 ÷ 13 | leaves 11 |
| 17 | 7005 ÷ 17 | leaves 1 |
| 19 | 7005 ÷ 19 | leaves 13 |
| 23 | 7005 ÷ 23 | leaves 13 |
| 29 | 7005 ÷ 29 | leaves 16 |
| 31 | 7005 ÷ 31 | leaves 30 |
| 37 | 7005 ÷ 37 | leaves 12 |
Questions
Is 7005 a prime number?
No, 7005 is not a prime number. It is divisible by 3: 7005 = 3 × 2335.
What is the next prime after 7005?
7013.
What is the prime number before 7005?
7001.
What are the factors of 7005?
1, 3, 5, 15, 467, 1401, 2335, 7005.