The following set of definitions comes from Discrete Mathematics with Applications by Epp S. (second edition) p. 132
If n and d are integers and d <> 0, then
n is divisible by d, if and only if, n = d * k for some integer k.
Alternatively, we can say that
n is a multiple of d, or
d is a factor of n, or
d is a divisor of n, or
d divides n.