numbers giving remainder 10 on dividing by 16

Question

Determining the numbers that when divided by 16 gives remainder 10 , not getting how to approach this ?

Solution : Do we need to use a theorem ?

starting numbers are 10 ,26 , but as number gets bigger problem occurs

Answer 1

If a number, say $x$ divides $16$ and gives remainder of $10$, we can say $x=16k+10$, where $k$ can be any integer. Using this, we can put any positive integer value or $0$ of $k$ into $16k+10$ to get a value of $x$.