Math Tutor Explains: Multiples of 3604

Multiples of 3604 can be defined as any number that results from multiplying 3604 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3604s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3604

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 3604, you could start at 3604, and keep adding 3604 over and over: 3604, 7208, 10812, 14416, and so on. Each of these numbers is a multiple of 3604. 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 3604, you could just multiply 3604 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 3604?

So, what are the multiples of 3604? Let’s write it out using the multiplication method:

3604×1=36043604 × 1 = 3604

3604×2=72083604 × 2 = 7208

3604×3=108123604 × 3 = 10812

3604×4=144163604 × 4 = 14416

3604×5=180203604 × 5 = 18020

3604×6=216243604 × 6 = 21624

3604×7=252283604 × 7 = 25228

3604×8=288323604 × 8 = 28832

3604×9=324363604 × 9 = 32436

3604×10=360403604 × 10 = 36040

So, the first 10 multiples of 3604 are: 3604, 7208, 10812, 14416, 18020, 21624, 25228, 28832, 32436 and 36040.

There are an endless number of multiples of 3604. You could choose any number to multiply by 3604 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 977 - The first five multiples of 977 are 977, 1954, 2931, 3908, 4885

Multiples of 238 - The first five multiples of 238 are 238, 476, 714, 952, 1190

Multiples of 308 - The first five multiples of 308 are 308, 616, 924, 1232, 1540

Multiples of 467 - The first five multiples of 467 are 467, 934, 1401, 1868, 2335

Multiples of 177 - The first five multiples of 177 are 177, 354, 531, 708, 885

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