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

1331

Given, a number as 1331. We need to find out the cube root using prime factorization method.

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

⇒ 11 × 11 × 11

Step 2: Make pairs of equal factors, we get

⇒ (11 × 11 × 11)

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

⇒ 11

Hence, 11 is the cube root of the given number 1331 using prime factorization method