2³ . 5² . 7²

8 . 25 . 49

200 . 49

200 . (50 - 1)

10.000 - 200

9800 ← Resposta

[tex]\LARGE\displaystyle{} {2}^{3} \times {5}^{2} \times {7}^{2} \\\\ \LARGE\displaystyle{}8 \times {5}^{2} \times {7}^{2} \\\LARGE\displaystyle{}8 \times 25 \times {7}^{2} \\ \LARGE\displaystyle{}8 \times 25 \times 49 \\\LARGE\displaystyle{}200 \times 49 \\ \LARGE\displaystyle\text{$\begin{gathered} \underline{\boxed{\boldsymbol{ 9800 }}}\end{gathered}$} [/tex]

Então o número que cuja essa fatoração é o:

[tex]\LARGE\displaystyle\text{$\begin{gathered} \underline{\boxed{\boldsymbol{ 9800 }}}\end{gathered}$} [/tex]

[tex]\LARGE\displaystyle\text{$\begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered}$} [/tex]