This is a problem from TOMATO Objective 94 based on number of divisors. This problem is helpful for ISI Entrance Exam. Try out the problem. (By Akash Singha Roy)

Problem: TOMATO Objective 94

Number of divisors of

Solution:

Hence, any divisor of must be of the form where

Therefore, by the Multiplication PrincipleÂ of Counting, the number of divisors of

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