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Revision as of 19:34, 25 January 2010
, 19:34, 25 January 2010→Example
<math>802701 = 9 \cdot 89189 = p_2^2 p_{8638}^1</math>
<math>802701 = 9 \cdot 89189 = p_2^2 p_{8638}^1</math>
<math>\text{Writing}~ (\operatorname{prime}(i))^j ~\text{as}~ i\!:\!j, ~\text{we have:}</math>
<math>\begin{array}{lll}
802701 & = & 2\!:\!2 ~~ 8638\!:\!1
\\
8638 & = & 1\!:\!1 ~~ 4\!:\!1 ~~ 113\!:\!1
\\
113 & = & 30\!:\!1
\\
30 & = & 1\!:\!1 ~~ 2\!:\!1 ~~ 3\!:\!1
\\
4 & = & 1\!:\!2
\\
3 & = & 2\!:\!1
\\
2 & = & 1\!:\!1
\end{array}</math>
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