Question

Aratati ca numarul abcabc in baza 10 se imparte exact la 1001

Answer 1

100000a+10000b+1000c+100a+10b+c=100100a+10010b+1001c
1001x(100+10+1) deci se divide cu 1001

Answer 2

$100000a+10000b+1000c+100a+10b+c =\ \textgreater \ \\ 100100a+10010b+1001c =\ \textgreater \ \\ 1001*(100a+10b+c):1001$