Question

Find the square root of the following numbers by prime factorisation method :(iii) 3136​

Answer 1

3136 = 1568 x 2
1568 = 784 x 2
784 = 392 x 2
392 = 196 x 2
196 = 98 x 2
98 = 49 x 2
So 49 x 2 x 2 x 2 x 2 x 2 x 2 = 49 x 4 x 4 x 4 = 3136
So the square root of 3136 = the square root of (49 x 4 x 4 x 4) = 7 x 2 x 2 x 2 = 56