Just for fun - i found this question in a puzzle book - explain why numbers of the form ABABAB where A and B are positive whole numbers are divisible by 7.

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Just for fun - i found this question in a puzzle book - explain why numbers of the form ABABAB where A and B are positive whole numbers are divisible by 7.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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because 6/7=1.
are A and B digets in a single number, or are they terms in a product?
its because 10101 is a factor of all these numbers (e.g. 484848) and 10101 is a multiple of 7

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