Math Tutor Explains: Multiples of 3

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 3 using this method, you could start at 3, and keep adding 3 over and over: 3, 6, 9, 12, and so on. Each of these numbers is a multiple of 3. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 3. To find the first few multiples of 3, you could just multiply the 3 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

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

To find the first 10 multiples of 3, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30.

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be even.

• The multiples of odd numbers, in sequence, alternate between odd and even numbers.

• You can also find the negative multiples of a number by multiplying by negative 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 685 - The first five multiples of 685 are 685, 1370, 2055, 2740, 3425

Multiples of 974 - The first five multiples of 974 are 974, 1948, 2922, 3896, 4870

Multiples of 775 - The first five multiples of 775 are 775, 1550, 2325, 3100, 3875

Multiples of 889 - The first five multiples of 889 are 889, 1778, 2667, 3556, 4445

Multiples of 575 - The first five multiples of 575 are 575, 1150, 1725, 2300, 2875