8 digit number

Question:

Find a 8 digit number that if multiplied with 9 or any of its multiples ( 18, 27, 36, 45,…) it will get the multiplication factor repeated (n) number of times like 111111, 22222, 333333 and so on?

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Answer: That eight digit number is 12345678

12345678 x  9 = 111111111111

12345678 x 18 = 222222222222

12345678 x 27 = 333333333333  and so on

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