Question

fatores os números usados a decomposição em fatores primos

a)16

b)40

c)75

d)125

e)144​

Answer 1

$\large\boxed{\begin{array}{l}\rm Fatore\,os\,n\acute umeros\,usando\,a\,decomposic_{\!\!,}\tilde ao\\\rm em\,fatores\,primos:\\\sf a)16\\\sf b)40\\\sf c)75\\\sf d)125\\\sf e)144\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\sf soluc_{\!\!,}\tilde ao}\\\sf a)~\begin{array}{c|c}\rm16&\rm2\\\rm8&\rm2\\\rm4&\rm2\\\rm2&\rm2\\\rm1\end{array}\\\sf 16=2^4\\\\\sf b)~\begin{array}{c|c}\rm40&\rm2\\\rm20&\rm2\\\rm10&\rm2\\\rm5&\rm5\\\rm1\end{array}\\\sf 40=2^3\cdot5\\\\\sf c)~\begin{array}{c|c}\rm75&\rm3\\\rm25&\rm5\\\rm5&\rm5\\\rm1\end{array}\\\sf 75=3\cdot5^2\end{array}}$

$\large\boxed{\begin{array}{l}\sf d)~\begin{array}{c|c}\rm125&\rm5\\\rm25&\rm5\\\rm5&\rm5\\\rm1\end{array}\\\sf125=5^3\\\\\sf e)~\begin{array}{c|c}\rm144&\rm2\\\rm72&\rm2\\\rm36&\rm2\\\rm18&\rm2\\\rm9&\rm3\\\rm3&\rm3\\\rm1\end{array}\\\sf 144=2^4\cdot3^2\end{array}}$