Is 7003 a prime number?
No, 7003 is not a prime number. It is divisible by 47: 7003 = 47 × 149.
Is 7003 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 √7003 ≈ 83.68. If none of them divides 7003, it is prime.
- 3
47 divides 7003 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7003 = 47 \times 149 \]
Testing 7003 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7003 ÷ 2 | leaves 1 |
| 3 | 7003 ÷ 3 | leaves 1 |
| 5 | 7003 ÷ 5 | leaves 3 |
| 7 | 7003 ÷ 7 | leaves 3 |
| 11 | 7003 ÷ 11 | leaves 7 |
| 13 | 7003 ÷ 13 | leaves 9 |
| 17 | 7003 ÷ 17 | leaves 16 |
| 19 | 7003 ÷ 19 | leaves 11 |
| 23 | 7003 ÷ 23 | leaves 11 |
| 29 | 7003 ÷ 29 | leaves 14 |
| 31 | 7003 ÷ 31 | leaves 28 |
| 37 | 7003 ÷ 37 | leaves 10 |
Questions
Is 7003 a prime number?
No, 7003 is not a prime number. It is divisible by 47: 7003 = 47 × 149.
What is the next prime after 7003?
7013.
What is the prime number before 7003?
7001.
What are the factors of 7003?
1, 47, 149, 7003.