It is as simple as ABC

Question

Find three different digits $ A, B, C $ that satisfies the equation $ \overline{ABC} \times \overline{AA} \times \overline{AB} \times C = \overline{ABCABC}. $

Is (AA) a concatonation of A rather than a multiplication? (i.e. $11\times A$ rather than $A^{2}$?) — Lio Elbammalf, May 03 '19 at 20:33
Thx for the edit..still learning the correct lingo for precise posting — Uvc, May 03 '19 at 21:59

score 13 · Accepted Answer · answered May 03 '19 at 20:15

13

$ABCABC=1001\times ABC$. $1001=7\times11\times13$. So $A=1, B=3, C=7$ is the soution.

answered May 03 '19 at 20:15

JMP

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It is as simple as ABC

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