The multiples of a number are the positive numbers that divide into it evenly. For example, the multiples of 3 are 3, 6, 9, 12, and so on. The factors or divisors of a number are the positive numbers that it divides into evenly. For example, the factors of 6 are 1, 2, 3, and 6.
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The multiples of a number n are all the positive numbers m such that m/n is a whole number. For example, the multiples of 3 are 3, 6, 9, 12, and so on. The factors or divisors of a number n all the positive numbers f such that n/f is a whole number. For example, the factors of 6 are 1, 2, 3, and 6.