Question

Find out the smallest number which when divided by 2352 make a quotient perfect

square​

Answer 1

Answer:

I think that the question asked may not have been the intended question. If by perfect square, you mean an integer squared, the smallest number that can be divided by 2352 to achieve this is 2352. This is not a very exciting answer, but it is the smallest number (integer) for which 2352 is a factor, and the quotient is 1, the smallest integer square.

A more interesting, and possibly intended question is, “what is the smallest divisor of 2352 that gives a perfect square quotient?” As 2352 is the product (2^4)(7^2)(3), dividing by 3 yields a quotient of 28^2, or 784.