Math Tutor Explains: Multiples of 1638

Multiples of 1638 can be defined as any number that results from multiplying 1638 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1638s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1638

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 1638, you could start at 1638, and keep adding 1638 over and over: 1638, 3276, 4914, 6552, and so on. Each of these numbers is a multiple of 1638. 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 1638, you could just multiply 1638 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 1638?

So, what are the multiples of 1638? Let’s write it out using the multiplication method:

1638×1=16381638 × 1 = 1638

1638×2=32761638 × 2 = 3276

1638×3=49141638 × 3 = 4914

1638×4=65521638 × 4 = 6552

1638×5=81901638 × 5 = 8190

1638×6=98281638 × 6 = 9828

1638×7=114661638 × 7 = 11466

1638×8=131041638 × 8 = 13104

1638×9=147421638 × 9 = 14742

1638×10=163801638 × 10 = 16380

So, the first 10 multiples of 1638 are: 1638, 3276, 4914, 6552, 8190, 9828, 11466, 13104, 14742 and 16380.

There are an endless number of multiples of 1638. You could choose any number to multiply by 1638 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 777 - The first five multiples of 777 are 777, 1554, 2331, 3108, 3885

Multiples of 68 - The first five multiples of 68 are 68, 136, 204, 272, 340

Multiples of 203 - The first five multiples of 203 are 203, 406, 609, 812, 1015

Multiples of 179 - The first five multiples of 179 are 179, 358, 537, 716, 895

Multiples of 983 - The first five multiples of 983 are 983, 1966, 2949, 3932, 4915

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