Răspuns :

3⁴³(1+3+3²)=3⁴³ * (4+9)= 3⁴³ *13 :13= 3⁴³
Notam numarul [tex]3^{45}+3^{44}+3^{43}[/tex] cu  litera A
[tex] 3^{45}+3^{44}+3^{43}
Dam factor comun pe 3^{43}
3^{43}*( 3^{2}+3+1)=3^{43}*(9+3+1)=3^{43}*13 [/tex]
A=[tex]13*3^{43}[/tex]⇒A divizibil cu 13