What is Divisibility: Definition and 170 Discussions

In mathematics, a divisor of an integer



n


{\displaystyle n}
, also called a factor of



n


{\displaystyle n}
, is an integer



m


{\displaystyle m}
that may be multiplied by some integer to produce



n


{\displaystyle n}
. In this case, one also says that



n


{\displaystyle n}
is a multiple of



m
.


{\displaystyle m.}
An integer



n


{\displaystyle n}
is divisible or evenly divisible by another integer



m


{\displaystyle m}
if



m


{\displaystyle m}
is a divisor of



n


{\displaystyle n}
; this implies dividing



n


{\displaystyle n}
by



m


{\displaystyle m}
leaves no remainder.

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