Find the square roots of the following numbers by Prime factorization method.

4096

Given, a number as 4096. We need to find out the square root using prime factorization method.

Step 1: Resolve the given number into prime factors, we get

⇒2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Step 2: Make pairs of equal factors, we get

⇒ (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

Step 3: Choosing one factor out of every pair, we get

⇒2 × 2 × 2 × 2 × 2 × 2

⇒ 64

Hence, 64 is the square root of the given number 4096 using prime factorization method