Question

what is the smallest no. by which 392 must be multiplied so that the product is a perfect cube

Answer 1

We need to factorise 392 for this
Now 392=2x2x2x7x7
clearly it is 7 which must be multiplied to make it a perfect cube
hence ans 7

Answer 2

392=2*2*2*7*7
∴392 is not a perfect cube
in order to make it as a perfect cube we should multiply 392 with 7
then it becomes 2*2*2*7*7*7=(2*7)³