Question

41. If you multiply 600 with me, I will become a
number. Who am I?
perfect square​

Answer 1

Answer:

here is the answer

Step-by-step explanation:

Okay so how do we know what the smallest number we must multiply a number by to get a perfect square? Well it’s simple, just break the number down to its prime factors:

600 = 6*100 = 2*3*10*10 = 2*3*5*2*5*2 = 2^3*3*5^2.

A perfect square will have all its prime factors divisible by 2 so we need to add one to the index of 2^3 to make 2^4 and we need to add 1 to the 3 to make 3^2 so we must multiply by 2*3 = 6.

The answer is 6 is the smallest positive integer 600 must be multiplied by to make a perfect square.

If you want to be pernickety, we could multiply by zero as zero is a perfect square or we could multiply by a really huge number that is negative that would also result in a really huge perfect square but the huge negative number is way smaller than zero.