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
$\,n\,$ 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
‘$\,\,m\,$ is divisible by $\,j\,\,$’
‘$\,\,j\,$ goes into $\,m\,$ evenly ’
‘$\,\,n\,$ is a multiple of $\,k\,\,$’
‘$\,\,n\,$ is a factor of $\,k\,\,$’