Is 9924 a prime number?
No, 9924 is not a prime number. It is divisible by 2: 9924 = 2 × 4962.
Is 9924 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 √9924 ≈ 99.62. If none of them divides 9924, it is prime.
- 3
2 divides 9924 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9924 = 2^{2} \times 3 \times 827 \]Testing 9924 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9924 ÷ 2 | divides exactly (4962) |
| 3 | 9924 ÷ 3 | divides exactly (3308) |
| 5 | 9924 ÷ 5 | leaves 4 |
| 7 | 9924 ÷ 7 | leaves 5 |
| 11 | 9924 ÷ 11 | leaves 2 |
| 13 | 9924 ÷ 13 | leaves 5 |
| 17 | 9924 ÷ 17 | leaves 13 |
| 19 | 9924 ÷ 19 | leaves 6 |
| 23 | 9924 ÷ 23 | leaves 11 |
| 29 | 9924 ÷ 29 | leaves 6 |
| 31 | 9924 ÷ 31 | leaves 4 |
| 37 | 9924 ÷ 37 | leaves 8 |
Questions
Is 9924 a prime number?
No, 9924 is not a prime number. It is divisible by 2: 9924 = 2 × 4962.
What is the next prime after 9924?
9929.
What is the prime number before 9924?
9923.
What are the factors of 9924?
1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924.