Is 8006 a prime number?
No, 8006 is not a prime number. It is divisible by 2: 8006 = 2 × 4003.
Is 8006 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 √8006 ≈ 89.48. If none of them divides 8006, it is prime.
- 3
2 divides 8006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8006 = 2 \times 4003 \]
Testing 8006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8006 ÷ 2 | divides exactly (4003) |
| 3 | 8006 ÷ 3 | leaves 2 |
| 5 | 8006 ÷ 5 | leaves 1 |
| 7 | 8006 ÷ 7 | leaves 5 |
| 11 | 8006 ÷ 11 | leaves 9 |
| 13 | 8006 ÷ 13 | leaves 11 |
| 17 | 8006 ÷ 17 | leaves 16 |
| 19 | 8006 ÷ 19 | leaves 7 |
| 23 | 8006 ÷ 23 | leaves 2 |
| 29 | 8006 ÷ 29 | leaves 2 |
| 31 | 8006 ÷ 31 | leaves 8 |
| 37 | 8006 ÷ 37 | leaves 14 |
Questions
Is 8006 a prime number?
No, 8006 is not a prime number. It is divisible by 2: 8006 = 2 × 4003.
What is the next prime after 8006?
8009.
What is the prime number before 8006?
7993.
What are the factors of 8006?
1, 2, 4003, 8006.