Is 8003 a prime number?
No, 8003 is not a prime number. It is divisible by 53: 8003 = 53 × 151.
Is 8003 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 √8003 ≈ 89.46. If none of them divides 8003, it is prime.
- 3
53 divides 8003 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8003 = 53 \times 151 \]
Testing 8003 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8003 ÷ 2 | leaves 1 |
| 3 | 8003 ÷ 3 | leaves 2 |
| 5 | 8003 ÷ 5 | leaves 3 |
| 7 | 8003 ÷ 7 | leaves 2 |
| 11 | 8003 ÷ 11 | leaves 6 |
| 13 | 8003 ÷ 13 | leaves 8 |
| 17 | 8003 ÷ 17 | leaves 13 |
| 19 | 8003 ÷ 19 | leaves 4 |
| 23 | 8003 ÷ 23 | leaves 22 |
| 29 | 8003 ÷ 29 | leaves 28 |
| 31 | 8003 ÷ 31 | leaves 5 |
| 37 | 8003 ÷ 37 | leaves 11 |
Questions
Is 8003 a prime number?
No, 8003 is not a prime number. It is divisible by 53: 8003 = 53 × 151.
What is the next prime after 8003?
8009.
What is the prime number before 8003?
7993.
What are the factors of 8003?
1, 53, 151, 8003.