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

7056

Given, a number as 7056. 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 × 3 × 3

Step 2: Make pairs of equal factors, we get

⇒ (2 × 2) × (2 × 2) × (7 × 7) × (3 × 3)

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

⇒2 × 2 × 7 × 3

⇒ 84

Hence, 84 is the square root of the given number 7056 using prime factorization method