1.

What is the smallest no. by which 13068 should be divided,so the quotient is a perfect square?

Answer»

Let's factorize 13068 by LCM.


2 | 13068

2 | 6534

3 | 3267

3 | 1089

3 | 363

11 | 121

11 | 11

| 1


13068 = 2² X 3³ x 11²


2² x 3³ x 11² divided by 3 gives 2² x 3² x 11² = (2 x 3 x 11)² = 66².


So 3 is the smallest number by which 13068 is divided to get a perfect square as quotient.


13068 ÷ 3 = 4356 = 66²


Hope this may be helpful.


Please mark my answer as the brainliest if this may be helpful.


Thank you. Have a nice DAY.



Discussion

No Comment Found

Related InterviewSolutions