Math Tutor Explains: Multiples of 30

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 30 using this method, you could start at 30, and keep adding 30 over and over: 30, 60, 90, 120, and so on. Each of these numbers is a multiple of 30. 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 30. To find the first few multiples of 30, you could just multiply the 30 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 30, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 30 are: 30, 60, 90, 120, 150, 180, 210, 240, 270 and 300.

• 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 64 - The first five multiples of 64 are 64, 128, 192, 256, 320

Multiples of 957 - The first five multiples of 957 are 957, 1914, 2871, 3828, 4785

Multiples of 37 - The first five multiples of 37 are 37, 74, 111, 148, 185

Multiples of 411 - The first five multiples of 411 are 411, 822, 1233, 1644, 2055

Multiples of 489 - The first five multiples of 489 are 489, 978, 1467, 1956, 2445