Question 36
One may perform the following two operations on a positive integer:
(a) multiply it by any positive integer; or
(b) delete zeros in its decimal representation.
Prove that for every positive integer $X$, one can perform a sequence of these operations that will transform $X$ to a one-digit number.
(a) multiply it by any positive integer; or
(b) delete zeros in its decimal representation.
Prove that for every positive integer $X$, one can perform a sequence of these operations that will transform $X$ to a one-digit number.