Question

Find the smallest number by which 28812 must be divided so that it becomes a perfect square. Also find the number whose square is the resulting number.

Answer 1

Factors of 28812 are: 

28812 = 2 × 2 × 3 × 3 × 3 × 17 × 17 

Pairs = 2² × 3³ × 17²

Hence, 28812 should be divided by 3 in order to get a perfect square when divided by the least number The square root will be: 

2 × 3 × 17 = 102