Is 8007 a prime number?
No, 8007 is not a prime number. It is divisible by 3: 8007 = 3 × 2669.
Is 8007 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 √8007 ≈ 89.48. If none of them divides 8007, it is prime.
- 3
3 divides 8007 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8007 = 3 \times 17 \times 157 \]
Testing 8007 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8007 ÷ 2 | leaves 1 |
| 3 | 8007 ÷ 3 | divides exactly (2669) |
| 5 | 8007 ÷ 5 | leaves 2 |
| 7 | 8007 ÷ 7 | leaves 6 |
| 11 | 8007 ÷ 11 | leaves 10 |
| 13 | 8007 ÷ 13 | leaves 12 |
| 17 | 8007 ÷ 17 | divides exactly (471) |
| 19 | 8007 ÷ 19 | leaves 8 |
| 23 | 8007 ÷ 23 | leaves 3 |
| 29 | 8007 ÷ 29 | leaves 3 |
| 31 | 8007 ÷ 31 | leaves 9 |
| 37 | 8007 ÷ 37 | leaves 15 |
Questions
Is 8007 a prime number?
No, 8007 is not a prime number. It is divisible by 3: 8007 = 3 × 2669.
What is the next prime after 8007?
8009.
What is the prime number before 8007?
7993.
What are the factors of 8007?
1, 3, 17, 51, 157, 471, 2669, 8007.