Math Tutor Explains: Multiples of 109

Multiples of 109 can be defined as any number that results from multiplying 109 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 109s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 109

Methods

Methods for Finding Multiples: from a Math Tutor

For a beginner, a math tutor suggests that you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 109, you could start at 109, and keep adding 109 over and over: 109, 218, 327, 436, and so on. Each of these numbers is a multiple of 109. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.

Another way to do this is to use multiplication. To find the first few multiples of 109, you could just multiply 109 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

What are the Multiples of 109?

So, what are the multiples of 109? Let’s write it out using the multiplication method:

109×1=109109 × 1 = 109

109×2=218109 × 2 = 218

109×3=327109 × 3 = 327

109×4=436109 × 4 = 436

109×5=545109 × 5 = 545

109×6=654109 × 6 = 654

109×7=763109 × 7 = 763

109×8=872109 × 8 = 872

109×9=981109 × 9 = 981

109×10=1090109 × 10 = 1090

So, the first 10 multiples of 109 are: 109, 218, 327, 436, 545, 654, 763, 872, 981 and 1090.

There are an endless number of multiples of 109. You could choose any number to multiply by 109 to find a new multiple!

Interesting Facts Shared by a Math Tutor about Multiples

• Every number is considered the smallest multiple of itself.

• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.

• All multiples of even numbers are 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: Practice Finding 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 520 - The first five multiples of 520 are 520, 1040, 1560, 2080, 2600

Multiples of 533 - The first five multiples of 533 are 533, 1066, 1599, 2132, 2665

Multiples of 895 - The first five multiples of 895 are 895, 1790, 2685, 3580, 4475

Multiples of 675 - The first five multiples of 675 are 675, 1350, 2025, 2700, 3375

Multiples of 470 - The first five multiples of 470 are 470, 940, 1410, 1880, 2350

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