Multiples of 12

Multiples of 12 are any number that can be divided by 12 without any remainder. In other words, any number that can be split into multiple 12s, without anything extra. Another way to understand multiples is to compare them to counting an object. For instance, I may have one ball, or I may have six balls, but I can’t have 3 and a half balls.

Multiples of 12

Methods

Methods for Finding Multiples:

The most common way to find multiples is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 12, you could just multiply 12 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 12, start at 12 and keep adding 12 over and over: 12, 24, 36, 48, and so on. Each of these numbers is a multiple of 12.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

What are the Multiples of 12?

Let’s find the first 10 multiples of 12 by multiplying:

121=1212 * 1 = 12

122=2412 * 2 = 24

123=3612 * 3 = 36

124=4812 * 4 = 48

125=6012 * 5 = 60

126=7212 * 6 = 72

127=8412 * 7 = 84

128=9612 * 8 = 96

129=10812 * 9 = 108

1210=12012 * 10 = 120

So, the first 10 multiples of 12 are: 12, 24, 36, 48, 48, 72, 84, 96, 108 and 120.

Interesting Facts about Multiples

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative numbers.

Find The Multiples of Other Numbers

Finding multiples of any number can be done using the same methods as outlined above. You can see how this can be done with specific numbers, like the ones below, by clicking on the any of the links below:

Multiples of 914 - The first five multiples of 914 are 914, 1828, 2742, 3656, 4570

Multiples of 636 - The first five multiples of 636 are 636, 1272, 1908, 2544, 3180

Multiples of 133 - The first five multiples of 133 are 133, 266, 399, 532, 665

Multiples of 240 - The first five multiples of 240 are 240, 480, 720, 960, 1200

Multiples of 520 - The first five multiples of 520 are 520, 1040, 1560, 2080, 2600

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