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Is there a method to make a rep-n rep-tile for any number n? And if there is no such method, what's the smallest number for which there's no example?

Is there a method to make a rep-n rep-tile for any number n? And if there is no such method, what's the smallest number for which there's no example? I'm only considering rep-tiles which are all of the same size, as they make up the larger congruent rep-tile.