A number theory problem by nishant kumar
Number Theory
Level
pending
Find a 8 digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.
12345679
12345789
12345678
12345779
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1 solution
The number is: 12345679, 12345679 * 9 = 111111111, 12345679 * 18 = 222222222, 12345679 * 27 = 333333333, And so on...!