Find the smallest number by which 28812 must be divided so that the qu

1.	Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.
Answer» The prime factors for 28812 28812 = 2×2×3×3×3×17×17 = (2×2) × (3×3) × (17×17) × 3 (grouping the prime factors in equal pairs we get) Hence, the smallest number by which 28812 must be divided so that the quotient becomes a perfect square is 3

Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.

Answer»

The prime factors for 28812

28812 = 2×2×3×3×3×17×17

= (2×2) × (3×3) × (17×17) × 3 (grouping the prime factors in equal pairs we get)

Hence, the smallest number by which 28812 must be divided so that the quotient becomes a perfect square is 3