Question

using prime factorization method find the cube root of 1024 x 1372​

Answer 1

in order of finding cube root by prime factorization we use the following steps :  

Step I : Obtain the given number.

Step II : Resolve it into prime factors.

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

Step IV : Take one factor from each group.

Step V : Find the product of the factors obtained in step IV. This product is the required cube root.

Step-by-step explanation for the answer :

prime factorization of 1024 times 1372 is 2 to the power 12 times 7 to the power three .  that is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7 if we divide in to groups of three

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7

so basically you need to multiply 2 x 2 x 2 x 2 x7

=112

i hope you understood