DIVISIBILITY EQUIVALENCES

LESSON READ-THROUGH
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
 

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

The number $\,n\,$ is divisible by $\,k\,$.
The number $\,n\,$ is a multiple of $\,k\,$.
The number $\,k\,$ is a factor of $\,n\,$.
The number $\,k\,$ 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:
Prime Numbers

 
 
Compare the two sentences:


    
(an even number, please)