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
33,750=2×3×3×3×5×5×5×5
⇒2×3×(3×3×5×5×5×5) ⇒6×5625 Here 5625 is a perfect square of 75. ∴ When we divide 33,750 to 6 we get a perfect square number