Question

Number of divisors of n = 38808 (except 1 and n) is

• A. 70
• B. 68
• C. 72
• D. 74

Answer 1

Answer: (A)

70

Answer 2

Since, 38808 = 8 x 4851

= 8 x 9 x 539 = 8 x 9 x 7 x 7 x 11 = 2³ x 3² x 7² x 11

So, number of divisors

= (3 + 1) (2 + 1) (2 + 1) ( 1 + 1) = 72

This includes two divisors 1 and 38808.

Hence, the required number of divisors = 72 – 2 = 70.