在C中查找具有唯一数字的数字

I have to write a program that finds every number (except 0) which can be factored by numbers from 2-9. For example first such a number would be number 2520 as it can be divided by every single number from 2 to 9. It also has to be a number that contains only 1 type of digit of its own (no multiple digits in a number). So for example 2520 will not meet this requirement since there are two same digits (2). The example of a number that meets both requirements is number 7560. That is the point I don't how to do it. I was thinking about converting value in an array to string, and then putting this string in another array so every digit would be represented by one array entry.I have to write a program that finds every numb