Question

Find the square root of a given number by prime factorization method.

3136

Answer 1

Dividing by prime numbers

2	3136
2	1568
2	784
2	392
2	196
2	98
7	49
7	7
	1

Dividing by prime numbers $3136=2\times 2\times 2\times 2\times 2\times 2\times 7\times 7$

Hence, $\sqrt{3136}=2\times 2\times 2\times 7=56$