Ta có:
$A = 2 + 2^2 + 2^3 + ..... + 2^{10}$
$A = (2+ 2^2) + (2^3 + 2^4) + ..... + (2^{9} + 2^{10})$
$A = 2(1 + 2) + 2^3 . (1 + 2) + .... + 2^{9} . (1 + 2)$
$A = 2.3 + 2^3 . 3 + ..... + 2^9 . 3$
$A = 3. (2 + 2^3 + .... + 2^9) \vdots 3$
Vậy tổng $A \vdots 3$.