what is the smallest positive number P such that 10500P is a perfect cube?
+118609 What is the smallest positive number P such that 10500P is a perfect cube?
10500=105*100=7*3*10^2*5
The smallest possible number is\\
7^2*3^2*2
=49*9*2
$${\mathtt{49}}{\mathtt{\,\times\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{2}} = {\mathtt{882}}$$
the smallest number p can be is 882 
Corrections made - Thanks anon :)
