MCQ
How many factors are 25× 36 × 5² are perfect squares:
- A24
- B12
- C16
- D22
Solution:
Any factors of 25 × 36 × 52 which is a perfect square will be of the form 2a × 3b × 5c
where a can be 0 or 2 or 4, So there are 3 ways.
b can be 0 or 2 or 4 or 6, So there are 4 ways.
a can be 0 or 2, So there are 2 ways.
So, the required number of factors = 3 × 4 × 2 = 24
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