1. The problem is to find the integer part (floor) of a given number, which means the greatest integer less than or equal to the number. 2. The floor function is denoted as $\lfloor x \rfloor$ and it returns the integer part of $x$. 3. For example, if $x = 3.7$, then $\lfloor 3.7 \rfloor = 3$. 4. If $x$ is already an integer, say $5$, then $\lfloor 5 \rfloor = 5$. 5. If $x$ is negative, for example $-2.3$, then $\lfloor -2.3 \rfloor = -3$ because $-3$ is the greatest integer less than or equal to $-2.3$. 6. To find the integer part of any number, simply remove the decimal part if the number is positive, or find the next lower integer if the number is negative.