Math Tutor Explains: Multiples of 3668

Multiples of 3668 can be defined as any number that results from multiplying 3668 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3668s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3668

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 3668, you could start at 3668, and keep adding 3668 over and over: 3668, 7336, 11004, 14672, and so on. Each of these numbers is a multiple of 3668. 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 3668, you could just multiply 3668 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 3668?

So, what are the multiples of 3668? Let’s write it out using the multiplication method:

3668×1=36683668 × 1 = 3668

3668×2=73363668 × 2 = 7336

3668×3=110043668 × 3 = 11004

3668×4=146723668 × 4 = 14672

3668×5=183403668 × 5 = 18340

3668×6=220083668 × 6 = 22008

3668×7=256763668 × 7 = 25676

3668×8=293443668 × 8 = 29344

3668×9=330123668 × 9 = 33012

3668×10=366803668 × 10 = 36680

So, the first 10 multiples of 3668 are: 3668, 7336, 11004, 14672, 18340, 22008, 25676, 29344, 33012 and 36680.

There are an endless number of multiples of 3668. You could choose any number to multiply by 3668 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 945 - The first five multiples of 945 are 945, 1890, 2835, 3780, 4725

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

Multiples of 252 - The first five multiples of 252 are 252, 504, 756, 1008, 1260

Multiples of 162 - The first five multiples of 162 are 162, 324, 486, 648, 810

Multiples of 299 - The first five multiples of 299 are 299, 598, 897, 1196, 1495

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