Question

The number of divisors of 9600 including 1 and 9600 are

• A. 60
• B. 58
• C. 48
• D. 46

Answer 1

Answer: (C)

48

Answer 2

Since 9600 = $2^{7} \times 3^{1} \times 5^{2}$

Hence number of divisors = $(7 + 1)(1 + 1)(2 + 1) = 48$.`