Question

The number of divisors of $9600$ including $1$ and $9600$ are

• A. $60$
• B. $58$
• C. $48$
• D. $38$

Answer 1

Answer: (C)

$48$

Answer 2

$9600=2^{7}\times3\times5^{2}$ Number of divisors $=\left(7+1\right)\left(1+1\right)\left(2+1\right)$ $=\left(8\right)\left(2\right)\left(3\right)$ $=48$