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:
Prime Numbers