Answer:
The smallest number is 114921 and the cube root of the result is 339
Explanation:
The number 339 can be factored as:
339 = 3 * 113
Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:
3^2*113^2=114921
When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.
Thus, the smallest number is 114921 and the cube root of the result is 339