Is 3003 a prime number?
No, 3003 is not a prime number. It is divisible by 3: 3003 = 3 × 1001.
Is 3003 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 √3003 ≈ 54.80. If none of them divides 3003, it is prime.
- 3
3 divides 3003 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3003 = 3 \times 7 \times 11 \times 13 \]
Testing 3003 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3003 ÷ 2 | leaves 1 |
| 3 | 3003 ÷ 3 | divides exactly (1001) |
| 5 | 3003 ÷ 5 | leaves 3 |
| 7 | 3003 ÷ 7 | divides exactly (429) |
| 11 | 3003 ÷ 11 | divides exactly (273) |
| 13 | 3003 ÷ 13 | divides exactly (231) |
| 17 | 3003 ÷ 17 | leaves 11 |
| 19 | 3003 ÷ 19 | leaves 1 |
| 23 | 3003 ÷ 23 | leaves 13 |
| 29 | 3003 ÷ 29 | leaves 16 |
| 31 | 3003 ÷ 31 | leaves 27 |
| 37 | 3003 ÷ 37 | leaves 6 |
Questions
Is 3003 a prime number?
No, 3003 is not a prime number. It is divisible by 3: 3003 = 3 × 1001.
What is the next prime after 3003?
3011.
What is the prime number before 3003?
3001.
What are the factors of 3003?
1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003.