Math Tutor Explains: Multiples of 30

Multiples of 30 are any numbers that result from multiplying 30 by a whole number. In reverse, any number that can be divided by 30 and results in a whole number is also a multiple of 30. A math tutor can help explain these concepts in detail and provide strategies to quickly identify multiples.

Multiples of 30

Methods

Methods for Finding Multiples: from a Math Tutor

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.

What are the Multiples of 30?

To find the first 10 multiples of 30, let’s multiply in sequence from 1 to 10:

301=3030 * 1 = 30

302=6030 * 2 = 60

303=9030 * 3 = 90

304=12030 * 4 = 120

305=15030 * 5 = 150

306=18030 * 6 = 180

307=21030 * 7 = 210

308=24030 * 8 = 240

309=27030 * 9 = 270

3010=30030 * 10 = 300

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

Interesting Facts Shared by a Math Tutor about Multiples

• 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.

Math Tutor Suggests Exploring: Want to Find Other Multiples?

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 255 - The first five multiples of 255 are 255, 510, 765, 1020, 1275

Multiples of 658 - The first five multiples of 658 are 658, 1316, 1974, 2632, 3290

Multiples of 557 - The first five multiples of 557 are 557, 1114, 1671, 2228, 2785

Multiples of 518 - The first five multiples of 518 are 518, 1036, 1554, 2072, 2590

Multiples of 736 - The first five multiples of 736 are 736, 1472, 2208, 2944, 3680

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