DIVISIBILITY EQUIVALENCES

The following four sentences are equivalent:
that is, they are true at the same time, and false at the same time:

The number [beautiful math coming... please be patient] $\,n\,$ is divisible by $\,k\,$.
The number [beautiful math coming... please be patient] $\,n\,$ is a multiple of $\,k\,$.
The number [beautiful math coming... please be patient] $\,k\,$ is a factor of $\,n\,$.
The number [beautiful math coming... please be patient] $\,k\,$ goes into $\,n\,$ evenly.

EXAMPLES:
Question: Compare the two sentences, and decide if they are equivalent, or not equivalent:
“$\,\,m\,$ is divisible by $\,j\,\,$”
“$\,\,j\,$ goes into $\,m\,$ evenly ”
Answer: equivalent
Question: Compare the two sentences, and decide if they are equivalent, or not equivalent:
“$\,\,n\,$ is a multiple of $\,k\,\,$”
“$\,\,n\,$ is a factor of $\,k\,\,$”
Answer: not equivalent
Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Identifying Inequalities as True or False

 
 
Compare the two sentences:
equivalent
not equivalent
    
(an even number, please)