[tex] \displaystyle\\
(1\times2\times3\times4\times ... \times 100)~\vdots~ 3^n\\\\
\text{Exercitiul cere sa aflam de cate ori se inmulteste 3 in produsul dat.}\\\\
\text{Rezolvare:}\\\\
n=\left[\frac{100}{3}\right]+\left[\frac{100}{3^2}\right]+\left[\frac{100}{3^3}\right]+\left[\frac{100}{3^4}\right]=33+11+3+1=48\\\\
\boxed{\bf n=48}\\\\
\it \Longrightarrow ~~(1\times2\times3\times4\times ... \times 100)~\vdots~ 3^{48}\\\\
\text{Parantezele [ si ] inseamna "partea intreaga". } [/tex]