En esta lección veremos la Factorización de Números Naturales en sus factores primos, un método y algunos ejemplos resueltos.
Número Entero |
Factorización |
6 Factores Primos: 2\cdot 3 |
\begin{array}{|l}\llap{2~~~~} 6 \\ \hline\llap{3~~~~} 3 \\ \hline1\end{array} 6 = 2\cdot 3
|
39 Factores Primos: 3\cdot 13 |
\begin{array}{|l}\llap{3~~~~} 39 \\ \hline\llap{13~~~~} 13 \\ \hline1\end{array} 39 = 3\cdot 13 |
210 Factores Primos: 2\cdot 3\cdot5\cdot7 |
\begin{array}{|l}\llap{2~~~~} 210 \\ \hline\llap{3~~~~}105 \\ \hline\llap{5~~~~} 35 \\ \hline\llap{7~~~~} 7 \\ \hline1\end{array} 210 =2\cdot 3\cdot5\cdot7 |
212 Factores Primos: 2^{2}\cdot 53^{2} | \begin{array}{|l}\llap{2~~~~} 212 \\ \hline\llap{2~~~~} 106 \\ \hline\llap{53~~~~} 53 \\ \hline1 \end{array} 212 = 2^{2}\cdot 53^{2} |
539 Factores Primos:7^{2}\cdot 11 | \begin{array}{|l}\llap{7~~~~} 539 \\ \hline\llap{7~~~~} 77 \\ \hline\llap{11~~~~} 11 \\ \hline1 \end{array} 539 = 7^{2}\cdot 11 |
1155 Factores Primos:3\cdot 5\cdot7\cdot11 |
\begin{array}{|l}\llap{3~~~~} 1155 \\ \hline\llap{5~~~~} 385 \\ \hline\llap{7~~~~} 77\\ \hline\llap{11~~~~} 11\\ \hline1 \end{array} 1155 = 3\cdot 5\cdot7\cdot11 |
1739 Factores Primos: 37\cdot 47 |
\begin{array}{|l}\llap{37~~~~} 1739 \\ \hline\llap{47~~~~} 47 \\ \hline1\end{array} 1739 = 37\cdot 47 |
12600 Factores Primos: 2^{3}\cdot 3^{2}\cdot 5^2\cdot 7 |
\begin{array}{|l}\llap{2~~~~} 12600 \\ \hline\llap{2~~~~} 6300 \\ \hline\llap{2~~~~} 3150 \\ \hline\llap{3~~~~} 1575 \\ \hline\llap{3~~~~} 525 \\ \hline\llap{5~~~~} 175 \\ \hline\llap{5~~~~} 35 \\ \hline\llap{7~~~~} 7\\ \hline 1\end{array} 12600 = 2^{3}\cdot 3^{2}\cdot 5^2\cdot 7 |