[tex]2*4*6*8*10.....*50= \\ (2*1)*(2*2)*(2*3)*(2*4)*(2*5)*.......*(2*25)= \\ 2^{25}*1*2*3*4*5*......*25.[/tex]
Puterea dupa care se gaseste 2 in produsul [tex]1*2*3*4*.........*25[/tex] se afla dupa formula:
[tex][\frac{25}{2}]+[\frac{25}{2^{2}}]+[\frac{25}{2^{3}}]+[\frac{25}{2^{4}}]+[\frac{25}{2^{5}}]=12+6+3+1+0= 22[/tex]
Notatia [x] reprezinta partea intraga a lui x.
Deci n=22+25=47
