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Multiplying two whole numbers gives a product. The numbers that we multiply are the factors of the product.
"Factors" are numbers we can multiply together to get another number. When we find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors".
Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers. Let's begin with a simple multiplication table: 3×0=0. The numbers 0, 3, 6, 9, and 12 are all multiples of 3.
any of the prime numbers that can be multiplied to give the original number. Example: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers). See: Prime Number.