What Are The First 7 Multiples Of 12 - CoolConversion

What is a multiple in math?

The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...).

Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative.

For example, 36 can be divided by 3 without a reminder. Like this, 36 is a multiple of 12 because 3 times 12 equals 36. In other words, we can say that 36 is a multiple of 3 because there is a natural - 3 - which multiplied by 12 equals 36. The statement '36 is a multiple of 3' is equivalent to '36 is divisible by 3', or that 3 is a divider of 36.

So, to find the multiples of 12, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 12:

• 12 x 0 = 0, so 0 is a multiple of 12.
• 12 x 1 = 12, so 12 is a multiple of 12.
• 12 x 2 = 24, so 24 is a multiple of 12.
• 12 x 3 = 36, so 36 is a multiple of 12.
• 12 x 4 = 48, so 48 is a multiple of 12.
• 12 x 5 = 60, so 60 is a multiple of 12.
• 12 x 6 = 72, so 72 is a multiple of 12.

The first 7 multiples of 12 are: 0, 12, 24, 36, 48, 60, 72.

Facts About Multiples

• Any number is a multiple of itself (n x 1 = n).
• Any number is a multiple of 1 (1 x n = n).
• Zero is a multiple of any number (0 x n = 0).
• The set of multiples of a number is an infinite set since we can get this by multiplying the number given by all the natural numbers.
The set of multiples of n can be represented by M n = {0 x n, 1 x n, 2 x n, 3 x n, 4 x n, ...} (where n is any natural). For example, the set of multiples of 12 is represented as M 12 = {0, 12,24,36,48, ...}.

Common Multiples

If two numbers are multiplied, then the product is a common multiple of these two numbers.

Example: if two numbers, 12 and 3, are multiplied, then the result, 36, is a common multiple of 12 and 3.

Note: The product of these two numbers is not necessarily the least common multiple-LCM of these numbers.