MathSolver94 wrote: Let $n$ be an integer greater than 1. If all digits of $97n$ are odd, find the smallest possible value of $n$. $35$ because if $n<33.3$ then $100n-3n>100(n-1)$ and if $n$ if even, then $97n$ is even, but $100(n-1)$ will have third number even, and $34$ is even, so $n=35$ and $3395$ is true.