Multiples of 30

Multiples of 30 are any number that can be divided by 30 without any remainder. In other words, any number that can be split into multiple 30s, 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 30

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 30, you could just multiply 30 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 30, 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.

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?

Let’s find the first 10 multiples of 30 by multiplying:

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, 120, 180, 210, 240, 270 and 300.

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 266 - The first five multiples of 266 are 266, 532, 798, 1064, 1330

Multiples of 326 - The first five multiples of 326 are 326, 652, 978, 1304, 1630

Multiples of 583 - The first five multiples of 583 are 583, 1166, 1749, 2332, 2915

Multiples of 77 - The first five multiples of 77 are 77, 154, 231, 308, 385

Multiples of 491 - The first five multiples of 491 are 491, 982, 1473, 1964, 2455

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