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

441

Given, a number as 441. We need to find out the square root using prime factorization method.

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

⇒7 × 3 × 3 × 7

Step 2: Make pairs of equal factors, we get

⇒ (3 × 3) × (7 × 7)

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

⇒3 × 7

⇒ 21

Hence, 21 is the square root of the given number 441 using prime factorization method