Solution 1bc38cb4-a127-4731-b477-abe17b1e6012

Points: 1 pt

We can use a factor tree:

\begin{tikzpicture}[
  level distance=11mm,
  level 1/.style={sibling distance=54mm},
  level 2/.style={sibling distance=27mm},
  level 3/.style={sibling distance=14mm},
  every node/.style={font=\normalsize},
  edge from parent/.style={draw=bodytext, line width=0.7pt}
]
\node {$756$}
  child { node {$28$}
    child { node {$4$}
      child { node {$2$} }
      child { node {$2$} }
    }
    child { node {$7$} }
  }
  child { node {$27$}
    child { node {$3$} }
    child { node {$9$}
      child { node {$3$} }
      child { node {$3$} }
    }
  };
\end{tikzpicture}

The leaves are all prime, so
\[
756=(2)(2)(3)(3)(3)(7)=2^2\cdot 3^3\cdot 7.
\]

Final answer:
756=2^2\cdot 3^3\cdot 7