DIVISIBILITY EQUIVALENCES

by Dr. Carol JVF Burns (website creator)
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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 ”
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 $\,k\,\,$”
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