Question

Find the square root of 6400 by using prime factorization method

Answer 1

6400 = 2*2*2*2*2*2*2*2*5*5   = 2^8 * 5^2

Square root of 2^8 = 2^4 and square root of 5^2 = 5

So the answer is 2^4 * 5  

= 16 * 5

= 80