Question

find the cube root of 21952 by prime factorization​

Answer 1

Step-by-step explanation:

we have to find the cube root of 21952

To find the cube root by prime factorization:

Step 1: Obtain the given number.  

Step 2: Resolve it into prime factors.  

Step 3: Group the factors in three in such a way that each number of the group is same.  

Step 4: Take out one factor from each group obtain in step 3.  

Step 5: Find the product of factors.

This product is the required cube root.  

Number: 21952

After resolving the prime factors, we get

2*2*2*2*2*2*7*7*7 is prime factorization of 21952.

cube root of the required is 2*2*7= 28