Math Tutor Explains: Multiples of 3699

Multiples of 3699 can be defined as any number that results from multiplying 3699 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3699s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3699

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 3699, you could start at 3699, and keep adding 3699 over and over: 3699, 7398, 11097, 14796, and so on. Each of these numbers is a multiple of 3699. 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 3699, you could just multiply 3699 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 3699?

So, what are the multiples of 3699? Let’s write it out using the multiplication method:

3699×1=36993699 × 1 = 3699

3699×2=73983699 × 2 = 7398

3699×3=110973699 × 3 = 11097

3699×4=147963699 × 4 = 14796

3699×5=184953699 × 5 = 18495

3699×6=221943699 × 6 = 22194

3699×7=258933699 × 7 = 25893

3699×8=295923699 × 8 = 29592

3699×9=332913699 × 9 = 33291

3699×10=369903699 × 10 = 36990

So, the first 10 multiples of 3699 are: 3699, 7398, 11097, 14796, 18495, 22194, 25893, 29592, 33291 and 36990.

There are an endless number of multiples of 3699. You could choose any number to multiply by 3699 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 721 - The first five multiples of 721 are 721, 1442, 2163, 2884, 3605

Multiples of 493 - The first five multiples of 493 are 493, 986, 1479, 1972, 2465

Multiples of 786 - The first five multiples of 786 are 786, 1572, 2358, 3144, 3930

Multiples of 287 - The first five multiples of 287 are 287, 574, 861, 1148, 1435

Multiples of 702 - The first five multiples of 702 are 702, 1404, 2106, 2808, 3510

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