[tex]\large\begin{array}{r|l} 45&3\\15&3\\5&5\\1\end{array} \\ \\ \sf 45 = {3}^{2} \: . \: 5[/tex]
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[tex]\large\begin{array}{r|l}120&2\\60&2\\30&2\\15&3\\5&5\\1\end{array}\\\\\sf 120=2^2~.~3~.~5[/tex]
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[tex]\large\begin{array}{r|l} 45&3\\15&3\\5&5\\1\end{array} \\ \\ \sf 45 = {3}^{2} \: . \: 5[/tex]
______
[tex]\large\begin{array}{r|l}120&2\\60&2\\30&2\\15&3\\5&5\\1\end{array}\\\\\sf 120=2^2~.~3~.~5[/tex]