# 6 Mathematical Ways to Say the Same Thing

In math, factors and multiples are two important connected concepts. Multiplication and division are inverse operations. You may have noticed that, in math, you tend to run into the same ideas over and over again. For example, mathematicians have six different ways to talk about this relationship.

For example, the following equation is true:

So this equation using the inverse operation is also true:

The following three statements all focus on the relationship between 5 and 20 from the perspective of multiplication:

5

*multiplied*by some number is 20.5 is a

*factor*of 20.20 is a

*multiple*of 5.

In two of the examples, you can see this relationship reflected in the words *multiplied* and *multiple*. For the remaining example, keep in mind that two factors are multiplied to equal a product.

Similarly, the following three statements all focus on the relationship between 5 and 20 from the perspective of division:

20

*divided*by some number is 5.20 is

*divisible by*5.5 is a

*divisor*of 20.

Why do mathematicians need all these words for the same thing? Maybe for the same reason that Eskimos need a bunch of words for snow. When you understand the concepts behind the words *factor* and *multiple*, which word you choose doesn't matter a whole lot.