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
But try the problem first...
Answer: 36
B.Stat Objective Problem 95
Challenges and Thrills of Pre-College Mathematics by University Press
First hint
here 1800=(2)(2)(2)(3)(3)(5)(5)
Second Hint
number of divisors of 1800 =(3+1)(2+1)(2+1)
Final Step
=(4)(3)(3)=36.
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