Is 7006 a prime number?
No, 7006 is not a prime number. It is divisible by 2: 7006 = 2 × 3503.
Is 7006 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 √7006 ≈ 83.70. If none of them divides 7006, it is prime.
- 3
2 divides 7006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7006 = 2 \times 31 \times 113 \]
Testing 7006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7006 ÷ 2 | divides exactly (3503) |
| 3 | 7006 ÷ 3 | leaves 1 |
| 5 | 7006 ÷ 5 | leaves 1 |
| 7 | 7006 ÷ 7 | leaves 6 |
| 11 | 7006 ÷ 11 | leaves 10 |
| 13 | 7006 ÷ 13 | leaves 12 |
| 17 | 7006 ÷ 17 | leaves 2 |
| 19 | 7006 ÷ 19 | leaves 14 |
| 23 | 7006 ÷ 23 | leaves 14 |
| 29 | 7006 ÷ 29 | leaves 17 |
| 31 | 7006 ÷ 31 | divides exactly (226) |
| 37 | 7006 ÷ 37 | leaves 13 |
Questions
Is 7006 a prime number?
No, 7006 is not a prime number. It is divisible by 2: 7006 = 2 × 3503.
What is the next prime after 7006?
7013.
What is the prime number before 7006?
7001.
What are the factors of 7006?
1, 2, 31, 62, 113, 226, 3503, 7006.