Question

Find the square root the following by prime factorization. 

3013696

Answer 1

 Resolving 3013696 into prime factors:
3013696 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 31 x 31 

Grouping the factors into pairs of equal factors:
3013696 = (2 x 2) x (2 x 2) x (2 x 2) x (7 x 7) x (31 x 31)
Taking one factor for each pair, we get the square root of 3013696:
2 x 2 x 2 x 7 x 31 = 1736