Two players $A$ and $B$ play the following game:
Start with the set $S$ of the first 25 natural numbers: $S=\{1,2,\ldots,25\}$.
Player $A$ first picks an even number $x_0$ and removes it from $S$: We have $S:=S-\{x_0\}$.
Then they take turns (starting with $B$) picking a number $x_n\in S$ which is either divisible by $x_{n-1}$ or divides $x_{n-1}$ and removing it from $S$.
The player who can not find a number in $S$ which is a multiple or is divisble by the previous number looses.
Is there a winning strategy?