Question

Find the smallest number by which 2703 must be divided so that the resulting number is a perfect square

Answer 1

To find the least number by 2703 should be divided so that the resulting 

number becomes a perfect square, we have to find the prime factorization of 2703
 
Prime factorization of 2703=3×17×53

We can see that all no. are unpaired.

So, 2703 is the least number should be divided so that the resulting

number is a perfect square.

Let us check it-
2703÷2703=1
1=√1
Hence proved.