The prime factorisation of the number \(P\) is \(P = 2\times 2\times 2\times 5\times 5\times 7\times 7\times 7\). Find the smallest number by which \(P\) must be divided so that the quotient becomes a perfect cube. Also, obtain the cube root of the resulting number.
Ans:
The smallest number to be divided is
The cube root of resulting number is