Is 9504 a prime number?
No, 9504 is not a prime number. It is divisible by 2: 9504 = 2 × 4752.
Is 9504 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 √9504 ≈ 97.49. If none of them divides 9504, it is prime.
- 3
2 divides 9504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9504 = 2^{5} \times 3^{3} \times 11 \]Testing 9504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9504 ÷ 2 | divides exactly (4752) |
| 3 | 9504 ÷ 3 | divides exactly (3168) |
| 5 | 9504 ÷ 5 | leaves 4 |
| 7 | 9504 ÷ 7 | leaves 5 |
| 11 | 9504 ÷ 11 | divides exactly (864) |
| 13 | 9504 ÷ 13 | leaves 1 |
| 17 | 9504 ÷ 17 | leaves 1 |
| 19 | 9504 ÷ 19 | leaves 4 |
| 23 | 9504 ÷ 23 | leaves 5 |
| 29 | 9504 ÷ 29 | leaves 21 |
| 31 | 9504 ÷ 31 | leaves 18 |
| 37 | 9504 ÷ 37 | leaves 32 |
Questions
Is 9504 a prime number?
No, 9504 is not a prime number. It is divisible by 2: 9504 = 2 × 4752.
What is the next prime after 9504?
9511.
What is the prime number before 9504?
9497.
What are the factors of 9504?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504.