Question

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!!

Answer 1

$N = {2}^{104} \times {3}^{102} + {2}^{100} \times {3}^{104}$

$N = {2}^{100} \times {3}^{102} ( {2}^{4} + {3}^{2} )$

$N = {2}^{100} \times {3}^{102} (16 + 9)$

$N = {2}^{100} \times {3}^{102} \times 25 \: \: \vdots \: \: 5$

$= > a) \: 5$