Is 8002 a prime number?
No, 8002 is not a prime number. It is divisible by 2: 8002 = 2 × 4001.
Is 8002 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 √8002 ≈ 89.45. If none of them divides 8002, it is prime.
- 3
2 divides 8002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8002 = 2 \times 4001 \]
Testing 8002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8002 ÷ 2 | divides exactly (4001) |
| 3 | 8002 ÷ 3 | leaves 1 |
| 5 | 8002 ÷ 5 | leaves 2 |
| 7 | 8002 ÷ 7 | leaves 1 |
| 11 | 8002 ÷ 11 | leaves 5 |
| 13 | 8002 ÷ 13 | leaves 7 |
| 17 | 8002 ÷ 17 | leaves 12 |
| 19 | 8002 ÷ 19 | leaves 3 |
| 23 | 8002 ÷ 23 | leaves 21 |
| 29 | 8002 ÷ 29 | leaves 27 |
| 31 | 8002 ÷ 31 | leaves 4 |
| 37 | 8002 ÷ 37 | leaves 10 |
Questions
Is 8002 a prime number?
No, 8002 is not a prime number. It is divisible by 2: 8002 = 2 × 4001.
What is the next prime after 8002?
8009.
What is the prime number before 8002?
7993.
What are the factors of 8002?
1, 2, 4001, 8002.