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A factor is what goes into a number, a multiple is what a number goes into. 3 is a factor of 9 27 is a multiple of 9.
1, 2, 3, 4, 8
6, 12, 30, 60
They have a converse relationship. A factor is a number that divides into another, with no remainders. A multiple is something that can be multiplied by another number, to reach the original number that you had. Thus: Original number / a factor = a multiple Multiple * (the correct factor) = original number. "the correct factor", because most number have more than one factor. But only one factor * multiple will give the original number.
8 is not a multiple of 3.