Question

Using prime factorisation method, find the cube root of 1024 x 8788.​

Answer 1

Answer:

Step-by-step explanation:

Let's find the cube root of the number using the factorization method first we will factorize the given numbers only by the prime numbers. Hence the cube root of 10648 is 22.

The given number is 8788

The prime factorisation of 8788 is given by,

8788=2×2×13×13×13

We see that prime factor 2 does not occur in the group of 3, hence the given number is not a perfect cube.

In order to make it a perfect cube, it must be divided by 4.

Now,  

4

8788

​  

=  

4

2×2×13×13×13

​  

 

⇒2197=13×13×13, which is a perfect cube number.

Thus, the cube root of 2197=13