Divisors

A nonzero natural number (d≠0) is said to be a divisor of another natural number (n) if the division of n by d leaves no remainder, that is, if the division is exact. $$ n:d = q \ \text{with zero remainder} $$

Every natural number has a finite number of divisors and an infinite number of multiples.

For example, the divisors of 24 are

$$ 1, 2, 3, 4, 6, 8, 12, 24 $$

because

$$ 24:1 = 24 \ \text{with zero remainder} $$

$$ 24:2 = 12 \ \text{with zero remainder} $$

$$ 24:3 = 8 \ \text{with zero remainder} $$

$$ 24:4 = 6 \ \text{with zero remainder} $$

$$ 24:6 = 4 \ \text{with zero remainder} $$

$$ 24:8 = 3 \ \text{with zero remainder} $$

$$ 24:12 = 2 \ \text{with zero remainder} $$

$$ 24:24 = 1 \ \text{with zero remainder} $$

And so on.