DIVISIBILITY EQUIVALENCES
• PRACTICE (online exercises and printable worksheets)
Want more details, more exercises? Read the full text!

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 $\,k\,\,$”