Răspuns :
1+2+3+...+98=98x99/2=99x49=4851
4851 l 3
1617 l 3
539 l 7
77 l 7
11 l 11
1
=>4851=3²·7²·11
4851 l 3
1617 l 3
539 l 7
77 l 7
11 l 11
1
=>4851=3²·7²·11
Pai simplu...
Aflam S prima data......
S=49*99=4851(Am folosit suma Gauss)
Acum descompunem la bara 4851:
4851 | 3
1617 | 3
539 | 7
77 | 7
11 | 11
Deci S descompus in factori primi este S=3*3*7*7*11 sau S=3^2*7^2*11