Math Tutor Explains: Multiples of 1698

Multiples of 1698 can be defined as any number that results from multiplying 1698 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1698s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1698

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 1698, you could start at 1698, and keep adding 1698 over and over: 1698, 3396, 5094, 6792, and so on. Each of these numbers is a multiple of 1698. 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 1698, you could just multiply 1698 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 1698?

So, what are the multiples of 1698? Let’s write it out using the multiplication method:

1698×1=16981698 × 1 = 1698

1698×2=33961698 × 2 = 3396

1698×3=50941698 × 3 = 5094

1698×4=67921698 × 4 = 6792

1698×5=84901698 × 5 = 8490

1698×6=101881698 × 6 = 10188

1698×7=118861698 × 7 = 11886

1698×8=135841698 × 8 = 13584

1698×9=152821698 × 9 = 15282

1698×10=169801698 × 10 = 16980

So, the first 10 multiples of 1698 are: 1698, 3396, 5094, 6792, 8490, 10188, 11886, 13584, 15282 and 16980.

There are an endless number of multiples of 1698. You could choose any number to multiply by 1698 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 523 - The first five multiples of 523 are 523, 1046, 1569, 2092, 2615

Multiples of 719 - The first five multiples of 719 are 719, 1438, 2157, 2876, 3595

Multiples of 643 - The first five multiples of 643 are 643, 1286, 1929, 2572, 3215

Multiples of 347 - The first five multiples of 347 are 347, 694, 1041, 1388, 1735

Multiples of 40 - The first five multiples of 40 are 40, 80, 120, 160, 200

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