Question

divide 5673375 by the smallest number so that the product is perfect cube . also find out the cube root of the resulting number

Answer 1

Answer:

The Prime Factors are:
3 x 3 x 3 x 5 x 5 x 5 x 41 x 41

 

In Exponential Form:
33 x 53 x 412
So we have to divide by 412

 

Prime Factors Tree

 5673375        /         3 1891125        /         3 630375        /         3 210125        /         5 42025        /         5 8405        /         5 1681        /  
       41

Answer 2

3×3×3×5×5×5×41×41×41