For how many different digits $n$ is the three-digit number $14n$ divisible by $n$?

Note: $14n$ refers to a three-digit number with the unit digit of $n,$ not the product of $14$ and $n.$
Question:
For how many different digits $n$ is the three-digit number $14n$ divisible by $n$?

Note: $14n$ refers to a three-digit number with the unit digit of $n,$ not the product of $14$ and $n.$
Answer:
Let's think step by step.

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5
For how many different digits $n$ is the three-digit number $14n$ divisible by $n$?

Note: $14n$ refers to a three-digit number with the unit digit of $n,$ not the product of $14$ and $n.$
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