Is 8001 a prime number?
No, 8001 is not a prime number. It is divisible by 3: 8001 = 3 × 2667.
Is 8001 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 √8001 ≈ 89.45. If none of them divides 8001, it is prime.
- 3
3 divides 8001 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8001 = 3^{2} \times 7 \times 127 \]Testing 8001 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8001 ÷ 2 | leaves 1 |
| 3 | 8001 ÷ 3 | divides exactly (2667) |
| 5 | 8001 ÷ 5 | leaves 1 |
| 7 | 8001 ÷ 7 | divides exactly (1143) |
| 11 | 8001 ÷ 11 | leaves 4 |
| 13 | 8001 ÷ 13 | leaves 6 |
| 17 | 8001 ÷ 17 | leaves 11 |
| 19 | 8001 ÷ 19 | leaves 2 |
| 23 | 8001 ÷ 23 | leaves 20 |
| 29 | 8001 ÷ 29 | leaves 26 |
| 31 | 8001 ÷ 31 | leaves 3 |
| 37 | 8001 ÷ 37 | leaves 9 |
Questions
Is 8001 a prime number?
No, 8001 is not a prime number. It is divisible by 3: 8001 = 3 × 2667.
What is the next prime after 8001?
8009.
What is the prime number before 8001?
7993.
What are the factors of 8001?
1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001.