Question

Descompuneti in factori primi si aflati numarul de divizori ai numerelor :
32,27 ,170,450,1350,252,350,1800

Answer 1

     
[tex]32 = 2^5~~~~~\Rightarrow ~~n= (5+1)=6\;divizori \\ 27 = 3^3~~~~~\Rightarrow ~~n= (3+1)=4\;divizori \\ 170 = 2^1 \times 5^1 \times 17^1 ~~~~~\Rightarrow ~~n= (1+1)(1+1)(1+1)=8\;divizori \\ 450 = 2^1 \times 3^2 \times 5^2 ~~~~~\Rightarrow ~~n= (1+1)(2+1)(2+1)=18\;divizori \\ 1350 = 2^1 \times 3^3 \times 5^2 ~~~~~\Rightarrow ~~n= (1+1)(3+1)(2+1)=24\;divizori [/tex]

[tex]252 = 2^2 \times 3^2 \times 7^1 ~~~~~\Rightarrow ~~n= (2+1)(2+1)(1+1)=18\;divizori \\ 350 = 2^1 \times 5^2 \times 7^1 ~~~~~\Rightarrow ~~n= (1+1)(2+1)(1+1)=12\;divizori \\ 1800 = 2^3 \times 3^2 \times 5^2 ~~~~~\Rightarrow ~~n= (3+1)(2+1)(2+1)= 36\;divizori [/tex]