Multiples of 30

In mathematics, writing multiples of a given number involves multiplying the given number by natural numbers. For example, to write the multiples of 30, we can simply add 0s in the unit’s place of the multiples of 3 since ten times of 3 is 30. Thus, if we know the multiples for 3, we can quickly write the multiples of 30.

It is interesting to recall that every number is a factor and the multiple of itself. Thus, 30 is a factor of 30, and 30 is a multiple of 30. Also, 30 is the largest factor of 30 and is the least multiple of 30. However, we can mark some differences between factors and multiples of the given number, which you can learn here. In this article, you will get the list of multiples of 30, along with examples.

Learn: Multiples

What are the Multiples of 30?

The multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, etc. These multiples are obtained when we multiply 30 by natural numbers, i.e. 1, 2, 3, …, 10, respectively.

Facts about Multiples of 30

• The difference between consecutive multiples of 30 is always equal to 30
• 30 × m = Multiple of 30; where m is an integer
• pth multiple of 30 = 30 × p
• Multiples of 30 are exactly divisible by 30 without leaving any remainder

For example, 120, 330, 420, 570 are all multiples of 30 for the following reasons.

We can get the multiples through the repeated addition of a number as many times as required. Let’s see the first ten multiples of 30 by multiplication and adding the number repeatedly, which are tabulated below.

Multiples of 30 Table

Go through the table given below to learn the first 20 multiples of 30 along with the multiplication notation for each multiple.

The above table is quite similar to the multiplication table of 3 as the results are 10 times that table.

Difference between multiples and factors of 30

Some of the differences between multiples and factors of 30 are given in the below table.

Click here to learn more about factors.

Get the Multiples of More Numbers Here

Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, etc.

Multiples of 36 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, etc.

Multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, etc.

Multiples of 42 are 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, etc.

Multiples of 45 are 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, etc.

Multiples of 50 are 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, etc.

Multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, etc.

Video Lesson on Common Multiples

Examples on Multiple of 30

Example 1:

What are the multiples of 30 between 55 and 105?

Solution:

We know that the first five multiples of 30 are 30, 60, 90, 120, and 150.

Therefore, the multiples of 30 between 55 and 105 are 60 and 90.

Example 2:

Write the multiples of 30 and 48.

Solution:

The multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240,…

The multiples of 48 are 48, 96, 144, 192, 240, 288, 336, 384, 432,…

Example 3:

What are the common multiples of 30 and 40?

Solution:

Multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, etc.

Multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, etc

Therefore, the common multiples of 30 and 40 are 120, 240, 360, etc.

To understand more about multiples of a number, visit byjus.com and get practice with more Maths concepts.