What is the difference between a factor and multiple?

Answer 1

A factor is a number that you multiply to get a product.

2 x 3 = 6 In this example, 2 and 3 are factors and 6 is a multiple of 2 and 3. Factors go into numbers, numbers go into multiples.
A factor of an integer n is an integer that divides n without remainder. For example, the positive factors of 6 are 1, 2, 3, and 6.

A multiple of an integer n is the product of another integer and n. Using the example above, some positive multiples of 6 are: 6, 12, 18, 24, 30, . . .

(6 is a multiple of 6 since 1*6 = 6, 12 is a multiple of 6 since 2*6 = 12, 18 is a multiple of 6 since 3*6 = 18, etc.)

Answer 2

A factor is a number or algebraic expression by which another is exactly divisible.

A multiple is a number that can be divided by another number without a remainder.

Factors go into numbers, numbers go into multiples.

Answer 3

Factors go into numbers, numbers go into multiples. In the sentence 3 x 4 = 12, 12 is a multiple of the factors 3 and 4.

Answer 4

In any multiplication sum, such as 6 x 2 = 12, the numbers 6 and 2 are factors of 12, but the number 12 is a multiple of 6 and 2.