Any number EEE will be the product of a single digit (E) and 111. 111 = 3*37, so factors of EEE are 37 and 3*E.

We know that the value of 3*E must be a two digit number, so E >

3.

We already have one factor (AB or CD) = 37, so the possible values for E are 4, 5, 6, 8, 9.

E will not be 9, because 3*9 = 27, which contains a 7, a digit that is already used.

E will not be 5, because 5 must be the least significant digit of a factor, and 5 cannot be used twice.

This would seem to leave 4 possible products.

12*37 = 444

18*37 = 666

24*37 =12*74 = 888

Possible values of AB are 12, 18, 24, 37, and 74. Their sum is

We know that the value of 3*E must be a two digit number, so E >

3.

We already have one factor (AB or CD) = 37, so the possible values for E are 4, 5, 6, 8, 9.

E will not be 9, because 3*9 = 27, which contains a 7, a digit that is already used.

E will not be 5, because 5 must be the least significant digit of a factor, and 5 cannot be used twice.

This would seem to leave 4 possible products.

12*37 = 444

18*37 = 666

24*37 =12*74 = 888

Possible values of AB are 12, 18, 24, 37, and 74. Their sum is

**165**.