ABCDE times a equals eeee, so what does ABCDE stand for

ABCDE times a equals eeee, so what does ABCDE stand for

The answer should be 79365 * 7 = 555555. Note that eeeeee = 111111 * e = 3 * 7 * 11 * 13 * 37 * e, and a should be the factor of eeeeee. Because a is a single digit, it can only be one of 3, 7, 3 * e and 7 * e. classification discussion: (1) if a = 7 * e, then ABCDE = 15873, then a = 1, contradiction! (2) if a = 3 * e, then ABCDE = 37037, then E = 7, then a = 21, contradiction! (3) if a = 3, then ABCDE = 37037 * e, in order to ensure that ABCDE is a five digit number, (4) if a = 7, then ABCDE = 15873 * e, note that the number at the end of 3 * e is still e, e can only take 5. Verification: ABCDE = 15873 * 5 = 79365, a = 7, ABCDE * a = 5555 = eeee