What is the NO-SHORTCUT approach for learning great Mathematics?

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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

- 104
- 36
- 1154
- none of these

Integers

Number of divisors

Exponents

But try the problem first...

Answer: 36

Source

Suggested Reading

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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