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A factor divides a number exactly; a multiple is what you get counting up by it. When two cycles have to line up, you want the least common multiple; when something has to be shared into equal groups, you want the greatest common divisor. At contest sizes, listing works.
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Nothing yet. No other skill in the Atlas lists this one as a prerequisite.
No indexed official paper question has been tagged with NUM-05 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.