Question

how to find the cube root of 10648 by prime factorozisatuion method

Answer 1

You can go on dividing 10648 by prime numbers as shown in the attachment.

So, 10648 can be represented as a product of prime numbers.

∛10648 = ∛2*2*2*11*11*11
             = 2 * 11
             = 22

Hence the cube root of 10648 is 22.