Factors of a number are the numbers that exactly divide that number, leaving no remainders. Let’s look at how to find the factors of a given number.
For example, the factors of are and . The factors of are and , since the division of by either or results in whole numbers.
With larger numbers, we have to be careful when finding the factors, as we can easily make mistakes like missing a factor or including numbers which are not factors. Let’s look at an example.
Find the factors of .
To find the factors of , we can create a table like the one below:
1. Start with the smallest factor, which is always . Write in the left column and in the right column, since .
2. Check each integer in ascending order to see if it is a factor. If it is, write the factor in the left column and the result of the division in the right column.
3. Continue this process until a factor repeats itself. In this case, we stop after writing and , since is already in the right column.
Now, we can list down the factors of :
Start from the left-hand column, starting from , and make your way down: and . After this, move to the right-hand column, and make your way up: and .
Therefore, the factors of are: