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Math riddle

When you multiply me by any positive whole number, the sum of the digits of the product will always continually sum up to me. What number am I?

About this riddle

Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.

Difficulty: Easy. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.

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