B can be 2, 4, 6 or 8

We need product 111 or 22, or 333 or 444 or 888 out of them and 111 and 333 are rejected.
possible products are 222, 444 or 888
To obtain
This possible value is B = 4                                   A B
                                                                      x 6
                                                                    _____
                                                                    B B B

∵                      A 4
                          6
                       ____
                         4__

∴     A can be either 2 or 7
A x 6 means 2 x 6 = 1 2 or 7 x 6 = 4 2
                           + 2               + 2
                          _____            _____
                            1 4               4 4_

∴  A x 6 = 7 is the accepted value

Now,           2
               7 4
               x 6
            ______
             4 4 4_

Thus, A = 7  and B = 4