Is 9909 a prime number?
No, 9909 is not a prime number. It is divisible by 3: 9909 = 3 × 3303.
Is 9909 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 √9909 ≈ 99.54. If none of them divides 9909, it is prime.
- 3
3 divides 9909 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9909 = 3^{3} \times 367 \]Testing 9909 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9909 ÷ 2 | leaves 1 |
| 3 | 9909 ÷ 3 | divides exactly (3303) |
| 5 | 9909 ÷ 5 | leaves 4 |
| 7 | 9909 ÷ 7 | leaves 4 |
| 11 | 9909 ÷ 11 | leaves 9 |
| 13 | 9909 ÷ 13 | leaves 3 |
| 17 | 9909 ÷ 17 | leaves 15 |
| 19 | 9909 ÷ 19 | leaves 10 |
| 23 | 9909 ÷ 23 | leaves 19 |
| 29 | 9909 ÷ 29 | leaves 20 |
| 31 | 9909 ÷ 31 | leaves 20 |
| 37 | 9909 ÷ 37 | leaves 30 |
Questions
Is 9909 a prime number?
No, 9909 is not a prime number. It is divisible by 3: 9909 = 3 × 3303.
What is the next prime after 9909?
9923.
What is the prime number before 9909?
9907.
What are the factors of 9909?
1, 3, 9, 27, 367, 1101, 3303, 9909.