Q. The number of divisors of the number of 38808 (excluding 1 and the number itself)is
A) 70
B) 72
C) 71
D) None of these
Explanation
(a)
Since, $38808 = 2^{3} \times 3^{2} \times 7^{2} \times 11^{1}$
$\therefore$ Number of divisors $= 4 \times 3 \times 3 \times 2 - 2$
$= 72 - 2 = 70$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.