If, for and
integers, the ratio
is itself an integer, then
is said to divide
. This relationship is written
, read "
divides
." In this case,
is also said to be divisible by
and
is called a divisor of
.
Clearly, and
. By convention,
for every
except 0 (Hardy and Wright 1979, p. 1).
The function can be implemented in the Wolfram Language as
Divides[a_, b_] := Mod[b, a] == 0
The function Divisible[n, d] returns True if an integer is divisible by an integer
.