Question

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

2304

Answer 1

2	2304
2	1152
2	576
2	288
2	144
2	72
2	36
2	18
3	9
3	3
	1

$2304=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

$\sqrt{2304}=2\times 2\times 2\times 2\times 3=48$