Q. The number of divisors of 9600 including 1 and 9600 are
A) 60
B) 58
C) 48
D) 46
Explanation
(c)
$\because$ The factors of $9600\ = 2^{7} \times 3^{1} \times 5^{2}$
$\therefore$ The number of divisors $= (7 + 1)(1 + 1)(2 + 1)$
$= 8 \times 2 \times 3 = 48$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.