Multiple (mathematics)

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A multiple of a number is the product of that number with any integer.

a is a multiple of b iff a/b is an integer.

The set of all multiples of x can be defined as xN where N is the set of all integers.

[edit] Examples

• 14, 49, and -21 are multiples of 7 whereas -3, 15, and 20 are not multiples of 7
• The multiples of 3 form the infinite set: {...,-9, -6, -3, 0, 3, 6, 9,...}.

eg

multiples of 6 are 6,12,18,24 and 30

[edit] Properties

• Every number is a multiple of itself (n * 1 = n).
• 0 is a multiple of every number (n * 0 = 0).
• If a and b are multiples of x, then a + b, a − b and a * b are multiples of x.
• 2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50

[edit] See also

• Ideal (ring theory)
• Decimal and SI prefix