Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Number of factors.
The number of different factors of 1800 equals
Integers
Number of divisors
Exponents
Answer: 36
B.Stat Objective Problem 95
Challenges and Thrills of Pre-College Mathematics by University Press
here 1800=(2)(2)(2)(3)(3)(5)(5)
number of divisors of 1800 =(3+1)(2+1)(2+1)
=(4)(3)(3)=36.
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