# User Contributed Dictionary

#### Translations

submultiple

- Italian: sottomultiplo

# Extensive Definition

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, and 21 are multiples of 7 whereas 3, 15, and 20 are not.

## Properties

- Every number is a multiple of itself (b=1\cdot b ).
- 0 is a multiple of every integer (0=0\cdot b ).
- A multiple of a number is obtained by multiplying the number 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

submultiple in Bulgarian: Кратно

submultiple in Spanish: Múltiplo

submultiple in Hungarian: Szorzás

submultiple in Korean: 배수

submultiple in Japanese: 倍数

submultiple in Polish: Wielokrotność

submultiple in Swedish:
Multipel