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What are factors and multiples?
Factor (or divisor):

Definition: The quotient (b≠0) of an integer A divided by an integer B is exactly an integer with no remainder, so we say that B is a factor of A .. 0 is not a factor of 0.

Multiply:

Definition: An integer can be divisible by another integer, so this integer is a multiple of another integer.

Example:

2X6= 12, and the product of 2 and 6 is 12, so 2 and 6 are factors of 12. 12 is a multiple of 2 and also a multiple of 6.

3X(-9)=-27, 3 and -9 are all factors of -27. -27 is a multiple of 3 and -9.

Generally speaking, the integer A is multiplied by the integer B to get the integer C. Both the integer A and the integer B are called factors of the integer C. Conversely, the integer C is a multiple of the integer A and also a multiple of the integer B. ..

Extended data:

Common multiple:

Definition: The common multiple of two or more integers is called their common multiple.

The least common multiple of two or more integers is called their least common multiple.

References:

Encyclopedia of multiplication, encyclopedia of factors