Arata ca nr N=2 la 104×3 la 102+2 la 100×3 la 104 este divizibil cu: a) 5,b)10,c)100 Va rog repede!!

[tex]N = {2}^{104} \times {3}^{102} + {2}^{100} \times {3}^{104} [/tex]

[tex]N = {2}^{100} \times {3}^{102} ( {2}^{4} + {3}^{2} )[/tex]

[tex]N = {2}^{100} \times {3}^{102} (16 + 9)[/tex]

[tex]N = {2}^{100} \times {3}^{102} \times 25 \: \: \vdots \: \: 5[/tex]

[tex] = > a) \: 5[/tex]