A multiple is the product of it's factors
I don't think this phrase helps much, but it is what I found.
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Here is another:
If one number, x, is a factor of another, y
then
the second (y) is a multiple of the first (x).
Any better?
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Factors go into numbers, numbers go into multiples. Divisibility shows what factors come out of what multiples.
Factors are just a line of numbers while multiples are a line of times
Factors create multiples, multiples break down into factors.
Multiples of 3
Apart from 1, all of the other factors of 72 are multiples of prime factors.