PRACTICE WITH FACTORS

In this discussion, number refers to a counting number: [beautiful math coming... please be patient] $\,1\,$, $\,2\,$, $\,3\,$, and so on.

The factors of a number are the numbers that go into it evenly.
For example, the factors of [beautiful math coming... please be patient] $\,10\,$ are $\,1\,$, $\,2\,$, $\,5\,$, and $\,10\,$.
The factors of [beautiful math coming... please be patient] $\,42\,$ are $\,1\,$, $\,2\,$, $\,3\,$, $\,6\,$, $\,7\,$, $\,14\,$, $\,21\,$, and $\,42\,$.

Notice that factors occur in pairs:

[beautiful math coming... please be patient] $1\times 42 = 42$

[beautiful math coming... please be patient] $2\times 21 = 42$

[beautiful math coming... please be patient] $3\times 14 = 42$

[beautiful math coming... please be patient] $6\times 7 = 42$

Every number has a factor of [beautiful math coming... please be patient] $\,1\,$, because $\,1\,$ goes into everything evenly.
Also, every number has itself as a factor.
Thus, the number [beautiful math coming... please be patient] $\,1\,$ has only one factor—itself.
Every other number has at least two factors—itself and $\,1\,$.

EXAMPLES:
Question:   Is $\,6\,$ a factor of $\,42\,$?
Answer:   YES; $\,6\,$ goes into $\,42\,$ evenly
Question:   Is $\,7\,$ a factor of $\,30\,$?
Answer:   NO; $\,7\,$ does not go into $\,30\,$ evenly
Question:   Is $\,12\,$ a factor of $\,3\,$?
Answer:   NO; $\,12\,$ does not go into $\,3\,$ evenly
The factors of a number cannot be bigger than the number.
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Adding and Subtracting Fractions

 
 


    
(an even number, please)