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Learning Factors

This lesson will help students who are starting to learn about factors. A factor is a number you use to multiply. In the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since they can be used in a multiplication equation to make 56. (56, the answer, is called the product.)

Work through the examples and explanations in this lesson with your children and then try the worksheet that you will find at the bottom of this page.

A factor is a number you use to multiply. In the math equation:
8 x 7 = 56,
the 8 and the 7 are both factors of 56, since they can be used in a multiplication equation to make 56. (56, the answer, is called the product.)

Factors of 18

In this lesson we will use square tiles to help figure out the factors of a whole number. In the example below we will use 18 to help us figure out the factors of 18.

We will arrange the square tiles into sets with rows and columns. These sets are called arrays.

Find as many different arrays as you can, but follow one important rule: all the rows MUST have the same number of tiles in every row.

As soon as you get factors that are already on your list, you can stop. All the factors you find will now be repeats of factors you already have. However, you might want to prove to yourself that there are no more factors by arranging the tiles in the remaining arrays.

So, I have used my 18 square tiles to find the factors of 18. The arrays that worked were:

– 1 x18 (repeated as 18 x 1)
– 2 x 9 (repeated as 9 x 2)
– 3 x 6 (repeated as 6 x 3)

I write the factors in order from smallest to greatest, so the factors of 18 are:

1, 2, 3, 6, 9, and 18.

Factor Worksheets

Click the link below and get your children to try the worksheets that will help with learning factors and with identifying prime and composite numbers..