Is 9744 a prime number?
No, 9744 is not a prime number. It is divisible by 2: 9744 = 2 × 4872.
Is 9744 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 √9744 ≈ 98.71. If none of them divides 9744, it is prime.
- 3
2 divides 9744 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9744 = 2^{4} \times 3 \times 7 \times 29 \]Testing 9744 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9744 ÷ 2 | divides exactly (4872) |
| 3 | 9744 ÷ 3 | divides exactly (3248) |
| 5 | 9744 ÷ 5 | leaves 4 |
| 7 | 9744 ÷ 7 | divides exactly (1392) |
| 11 | 9744 ÷ 11 | leaves 9 |
| 13 | 9744 ÷ 13 | leaves 7 |
| 17 | 9744 ÷ 17 | leaves 3 |
| 19 | 9744 ÷ 19 | leaves 16 |
| 23 | 9744 ÷ 23 | leaves 15 |
| 29 | 9744 ÷ 29 | divides exactly (336) |
| 31 | 9744 ÷ 31 | leaves 10 |
| 37 | 9744 ÷ 37 | leaves 13 |
Questions
Is 9744 a prime number?
No, 9744 is not a prime number. It is divisible by 2: 9744 = 2 × 4872.
What is the next prime after 9744?
9749.
What is the prime number before 9744?
9743.
What are the factors of 9744?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744.