Question

Find the smallest number by which 2816 must be divided to get a perfect square

Answer 1

your answer is 14 since pair of 2 and 7 was left to complete

Answer 2

Answer:

So the smallest number by which 2816 is divided to get its perfect square is 11.

Step-by-Step Calculations:

The very first step to the solution of this problem is to calculate the L.C.M of the number 2816 to achieve its prime factors.

L.C.M of the number 2816 is;

2816 = 2*2*2*2*2*2*2*2*11

To make 2816 a perfect square, we've to divide 2816 with 11 because there are four pairs of number 2 and 11 is the only unpaired number.

2816/11 = (2*2*2*2*2*2*2*2*11)/ 11

256 = 2*2*2*2*2*2*2*2

Taking square root of 256 will give us 16 which is equal to 2*2*2*2.