Question

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

• A. 6
• B. 5
• C. 15
• D. 4

Answer 1

Answer:

D. 4

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 $\times$ 3² $\times$ 5³

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