The square roots of how many factors of 2250 will be natural numbers?

This question was previously asked in
RRC Group D Previous Paper 42 (Held On: 16 Oct 2018 Shift 3)
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  1. 6
  2. 5
  3. 15
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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Detailed Solution

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Concept:

In this type of question, the square roots of factors will be natural number only, if the factors itself is a perfect square.

Calculation:

The number 2250 can be expressed as 2250 = 2 × 32 × 53

∴ there are only 4 factors 1, 32, 52, (3 × 5)2 whose square roots will be a natural number.
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