Is 1003 a prime number?
No, 1003 is not a prime number. It is divisible by 17: 1003 = 17 × 59.
Is 1003 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 √1003 ≈ 31.67. If none of them divides 1003, it is prime.
- 3
17 divides 1003 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1003 = 17 \times 59 \]
Testing 1003 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1003 ÷ 2 | leaves 1 |
| 3 | 1003 ÷ 3 | leaves 1 |
| 5 | 1003 ÷ 5 | leaves 3 |
| 7 | 1003 ÷ 7 | leaves 2 |
| 11 | 1003 ÷ 11 | leaves 2 |
| 13 | 1003 ÷ 13 | leaves 2 |
| 17 | 1003 ÷ 17 | divides exactly (59) |
| 19 | 1003 ÷ 19 | leaves 15 |
| 23 | 1003 ÷ 23 | leaves 14 |
| 29 | 1003 ÷ 29 | leaves 17 |
| 31 | 1003 ÷ 31 | leaves 11 |
Questions
Is 1003 a prime number?
No, 1003 is not a prime number. It is divisible by 17: 1003 = 17 × 59.
What is the next prime after 1003?
1009.
What is the prime number before 1003?
997.
What are the factors of 1003?
1, 17, 59, 1003.