Multiple (mathematics)

From Wikipedia, the free encyclopedia

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.

[edit] 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

[edit] 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).