Is 8023 a prime number?
No, 8023 is not a prime number. It is divisible by 71: 8023 = 71 × 113.
Is 8023 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 √8023 ≈ 89.57. If none of them divides 8023, it is prime.
- 3
71 divides 8023 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8023 = 71 \times 113 \]
Testing 8023 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8023 ÷ 2 | leaves 1 |
| 3 | 8023 ÷ 3 | leaves 1 |
| 5 | 8023 ÷ 5 | leaves 3 |
| 7 | 8023 ÷ 7 | leaves 1 |
| 11 | 8023 ÷ 11 | leaves 4 |
| 13 | 8023 ÷ 13 | leaves 2 |
| 17 | 8023 ÷ 17 | leaves 16 |
| 19 | 8023 ÷ 19 | leaves 5 |
| 23 | 8023 ÷ 23 | leaves 19 |
| 29 | 8023 ÷ 29 | leaves 19 |
| 31 | 8023 ÷ 31 | leaves 25 |
| 37 | 8023 ÷ 37 | leaves 31 |
Questions
Is 8023 a prime number?
No, 8023 is not a prime number. It is divisible by 71: 8023 = 71 × 113.
What is the next prime after 8023?
8039.
What is the prime number before 8023?
8017.
What are the factors of 8023?
1, 71, 113, 8023.