Factors and Products
Lesson
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Factors and Products      

An array is data arranged in rows or columns. They can be used to represent factors. You can use chips, cubes, blocks, etc. to make an array. Stars are used in the example below to represent the factors and product for the number 12.

Number 12

************ 1 by 12
******
******
2 by 6
****
****
****
3 by 4

Consider the following pairs of arrays the same:
 1 by 12 and 12 by 1, 2 by 6 and 6 by 2, 3 by 4 and 4 by 3.
Therefore, the number 12 has 3 different arrays.

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The array represents the product.

 

Number line

You can skip count using a number line to find the product.

3 x 4 = 12

Read: 3 times 4 equal to 12.


The numbers 3 and 4 are the factors and the number 12 is the product.

 
Example:

The model below is an array that represents
 2 x 4 = 8

There are 2 rows and 4 columns.

The factors are 2 and 4.

The product is 8.

The number line below also represents the multiplication sentence 2 x 4 = 8.

 

Remember: If each array represents a product, look at the sides of the arrays, and you will get all the factors for that number.
 

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Created by Carol Carroll
Updated by Nicole Freebern

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