Madhya Pradesh Police Exam Model Paper 9

Concepts used:
Factors of a number are determined using prime factorization method. Square of the number is determined by grouping the prime factors in pair of two.
Calculation:
Prime factor of $\Rightarrow 2\times 3\times \left(3\times 3\times 5\times 5\times 5\times 5\right)$
$\Rightarrow 6\times 5625$
Here 5625 is a perfect square of 75.
∴ When we divide 33,750 to 6 we get a perfect square number