Is 9648 a prime number?
No, 9648 is not a prime number. It is divisible by 2: 9648 = 2 × 4824.
Is 9648 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 √9648 ≈ 98.22. If none of them divides 9648, it is prime.
- 3
2 divides 9648 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9648 = 2^{4} \times 3^{2} \times 67 \]Testing 9648 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9648 ÷ 2 | divides exactly (4824) |
| 3 | 9648 ÷ 3 | divides exactly (3216) |
| 5 | 9648 ÷ 5 | leaves 3 |
| 7 | 9648 ÷ 7 | leaves 2 |
| 11 | 9648 ÷ 11 | leaves 1 |
| 13 | 9648 ÷ 13 | leaves 2 |
| 17 | 9648 ÷ 17 | leaves 9 |
| 19 | 9648 ÷ 19 | leaves 15 |
| 23 | 9648 ÷ 23 | leaves 11 |
| 29 | 9648 ÷ 29 | leaves 20 |
| 31 | 9648 ÷ 31 | leaves 7 |
| 37 | 9648 ÷ 37 | leaves 28 |
Questions
Is 9648 a prime number?
No, 9648 is not a prime number. It is divisible by 2: 9648 = 2 × 4824.
What is the next prime after 9648?
9649.
What is the prime number before 9648?
9643.
What are the factors of 9648?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648.