Find the cube root of the following numbers by prime factorization method.

729

Given, a number as 729. We need to find out the cube root using prime factorization method.

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

⇒3 × 3 × 3 × 3 × 3 × 3

Step 2: Make pairs of equal factors, we get

⇒ (3 × 3 × 3) × (3 × 3 × 3)

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

⇒3 × 3

⇒ 9

Hence, 9 is the cube root of the given number 729 using prime factorization method