Is 9792 a prime number?
No, 9792 is not a prime number. It is divisible by 2: 9792 = 2 × 4896.
Is 9792 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 √9792 ≈ 98.95. If none of them divides 9792, it is prime.
- 3
2 divides 9792 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9792 = 2^{6} \times 3^{2} \times 17 \]Testing 9792 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9792 ÷ 2 | divides exactly (4896) |
| 3 | 9792 ÷ 3 | divides exactly (3264) |
| 5 | 9792 ÷ 5 | leaves 2 |
| 7 | 9792 ÷ 7 | leaves 6 |
| 11 | 9792 ÷ 11 | leaves 2 |
| 13 | 9792 ÷ 13 | leaves 3 |
| 17 | 9792 ÷ 17 | divides exactly (576) |
| 19 | 9792 ÷ 19 | leaves 7 |
| 23 | 9792 ÷ 23 | leaves 17 |
| 29 | 9792 ÷ 29 | leaves 19 |
| 31 | 9792 ÷ 31 | leaves 27 |
| 37 | 9792 ÷ 37 | leaves 24 |
Questions
Is 9792 a prime number?
No, 9792 is not a prime number. It is divisible by 2: 9792 = 2 × 4896.
What is the next prime after 9792?
9803.
What is the prime number before 9792?
9791.
What are the factors of 9792?
1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792.