### Instruction: How many positive and negative integers is $12$ a multiple of?### Response: I know that $12$ is a multiple of any integer that divides $12$ evenly.
The positive integers that divide $12$ evenly are $1, 2, 3, 4, 6$, and $12$.
The negative integers that divide $12$ evenly are the opposites of the positive ones: $-1, -2, -3, -4, -6$, and $-12$.
So there are $6$ positive integers and $6$ negative integers that $12$ is a multiple of.
That means there are $12$ integers in total that $12$ is a multiple of.