Question

256 - Find the square root of this number by prime factorisation method.

Answer 1

Hey Mate !!

The prime Factorization of 256 is

256 = 2 × 2× 2 × 2 × 2 × 2 × 2 × 2

= 2 × 2 × 2 × 2

= 16

Therefore,

The Square root of 256 is 16

Answer 2

Solution :

Resolving the given number

256 into prime factors, we get

256 = 2×2×2×2×2×2×2×2

= (2×2)×(2×2)×(2×2)×(2×2)

Therefore ,

Square root of 256

= √256

= √(2×2)×(2×2)×(2×2)×(2×2)

= 2 × 2 × 2 × 2

= 16

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