Number System

Quantitative Aptitude (SBI-PO) SBI(PO) Exam

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How many factors of 2⁵ * 3⁶ * 5² are perfect squares?

Explanation:

Any factor of this number should be of the form 2^a * 3^b * 5^c.
For the factor to be a perfect square a,b,c have to be even.
a can take values 0, 2, 4.
b can take values 0, 2, 4, 6
and c can take values 0, 2
Total number of perfect squares = 3 * 4 * 2 = 24

By: Amit Kumar

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