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Numbers – Factors, Multiples & Prime Factors

Getting confused with Factors, Multiples and Prime factors ??? Well! here are some examples that will hopefully shed some light on the meaning of these terms. Let’s starts with Factors:

Factors

Fators are numbers that divide exactly into another number, e.g. a factor of 28 is 4 because 28/4 gives you 7.

Divide exactly means when you do the division, you get a whole number.

There is a method which, when followed, would give you all the factors of your given number. As an example, this short video shows how to obtain factors of 48.

Below are some more examples of factors.

Examples: Factors of 8, 12 and 18

Multiples

A multiple of a number – say n – is a number that is obtained by multiplying our number n by an integer (whole number) .


Prime factors

Prime factors are factors of a number that are also prime numbers. The best way to obtain prime factors of a given number is to draw a factor tree for that number.

In the example below, the circled numbers are the prime factors of 48 as they are all prime numbers.