Find the smallest possible value of the whole number

Question

Find the smallest possible value of the whole number "y" such that the product of "y" and 6600 is a square number.
To make two identical numbers from 6600 x Y, we add prime numbers to the product.

Answer 1

Prime factorization:

2³ · 5² · 3 · 11

 

Needed make perfect square

2 · 3 · 11

66

Answer 2

Josie

 

If the product of y and 6600 is a square then let's first determine the square root of 6600

 

√6600 = 10√66

 

 

In order for 6600y to be a square, y must equal 66.