[tex]\stackrel{\textit{half of 165}}{165\cdot \cfrac{1}{2}}~\hfill \stackrel{\textit{half of half of 165}}{165\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}}~\hfill \stackrel{\textit{half of half of half of 165}}{165\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}} \\\\\\ 165\cdot \cfrac{1}{8}\implies \cfrac{165}{8}\implies 20.625~grams[/tex]