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In mathematics, a multiple of an integer is the product of that integer with another integer. In other words, a is a multiple of b if a = nb, where n is an integer. If b is not zero, this is equivalent to saying that a / b is an integer.
Examples
- 14, 49, 0 and -21 are multiples of 7 where as 3 and -6 are not.
Multiples:
6 → 3,2
12 → 4,3,2,6,12
Properties
- Every integer is a multiple of itself (
). - 0 is a multiple of every integer (
). - A multiple of an integer is obtained by multiplying the integer by any natural number.
- If a and b are multiples of x, then a + b, a − b and ab are multiples of x.
- For any integer p > 1, (p − 1)! + 1 is a multiple of p if and only if p is a prime number (Wilson's theorem).
See also
Wikipedia content modification information:
- This page was last modified on 3 December 2008, at 22:44.
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