FactorInteger[45] == {{3, 2}, {5, 1}}

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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> factors </mi> <mo> &#8289; </mo> <mo> ( </mo> <mn> 45 </mn> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> { </mo> <mrow> <mrow> <mo> { </mo> <mrow> <mn> 3 </mn> <mo> , </mo> <mn> 2 </mn> </mrow> <mo> } </mo> </mrow> <mo> , </mo> <mrow> <mo> { </mo> <mrow> <mn> 5 </mn> <mo> , </mo> <mn> 1 </mn> </mrow> <mo> } </mo> </mrow> </mrow> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> factors </ci> <cn type='integer'> 45 </cn> </apply> <list> <list> <cn type='integer'> 3 </cn> <cn type='integer'> 2 </cn> </list> <list> <cn type='integer'> 5 </cn> <cn type='integer'> 1 </cn> </list> </list> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FactorInteger", "[", "45", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["3", ",", "2"]], "}"]], ",", RowBox[List["{", RowBox[List["5", ",", "1"]], "}"]]]], "}"]]]]]]

2001-10-29