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

1.	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» 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

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»

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