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

784

Given, a number as 784. 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 × 7 × 7

Step 2: Make pairs of equal factors, we get

⇒ (2 × 2) × (2 × 2) × (7 × 7)

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

⇒2 × 2 × 7

⇒ 28

Hence, 28 is the square root of the given number 784 using prime factorization method