Question

Find the smallest number by which 1210 must be divided to make it a perfect square. Find this perfect square and also its square root.

Answer 1

Answer:

Step-by-step explanation:

The short answer is 3: 1200*3= 3600 = 60*60. How do you figure that out? From the fact that a number is a perfect square if and only if it’s prime factorization has an even number of each unique prime number. The prime factorization of 1200 is {2,2,2,2,3,5,5}. So it already has an even number is 2’s and 5’s we just need to add a “3”.