Math Tutor Explains: Multiples of 17

Multiples of 17 can be defined as any number that results from multiplying 17 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 17s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 17

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 17, you could start at 17, and keep adding 17 over and over: 17, 34, 51, 68, and so on. Each of these numbers is a multiple of 17. 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 17, you could just multiply 17 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 17?

So, what are the multiples of 17? Let’s write it out using the multiplication method:

17×1=1717 × 1 = 17

17×2=3417 × 2 = 34

17×3=5117 × 3 = 51

17×4=6817 × 4 = 68

17×5=8517 × 5 = 85

17×6=10217 × 6 = 102

17×7=11917 × 7 = 119

17×8=13617 × 8 = 136

17×9=15317 × 9 = 153

17×10=17017 × 10 = 170

So, the first 10 multiples of 17 are: 17, 34, 51, 68, 85, 102, 119, 136, 153 and 170.

There are an endless number of multiples of 17. You could choose any number to multiply by 17 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 583 - The first five multiples of 583 are 583, 1166, 1749, 2332, 2915

Multiples of 200 - The first five multiples of 200 are 200, 400, 600, 800, 1000

Multiples of 599 - The first five multiples of 599 are 599, 1198, 1797, 2396, 2995

Multiples of 699 - The first five multiples of 699 are 699, 1398, 2097, 2796, 3495

Multiples of 614 - The first five multiples of 614 are 614, 1228, 1842, 2456, 3070

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