Math Tutor Explains: Multiples of 1714

Multiples of 1714 are any numbers that result from multiplying 1714 by a whole number. In reverse, any number that can be divided by 1714 and results in a whole number is also a multiple of 1714. A math tutor can help explain these concepts in detail and provide strategies to quickly identify multiples.

Multiples of 1714

Methods

Methods for Finding Multiples: from a Math Tutor

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 1714 using this method, you could start at 1714, and keep adding 1714 over and over: 1714, 3428, 5142, 6856, and so on. Each of these numbers is a multiple of 1714. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 1714. To find the first few multiples of 1714, you could just multiply the 1714 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

What are the Multiples of 1714?

To find the first 10 multiples of 1714, let’s multiply in sequence from 1 to 10:

17141=17141714 * 1 = 1714

17142=34281714 * 2 = 3428

17143=51421714 * 3 = 5142

17144=68561714 * 4 = 6856

17145=85701714 * 5 = 8570

17146=102841714 * 6 = 10284

17147=119981714 * 7 = 11998

17148=137121714 * 8 = 13712

17149=154261714 * 9 = 15426

171410=171401714 * 10 = 17140

So, the first 10 multiples of 1714 are: 1714, 3428, 5142, 6856, 8570, 10284, 11998, 13712, 15426 and 17140.

Interesting Facts Shared by a Math Tutor about Multiples

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be 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: Want to Find Other Multiples?

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 673 - The first five multiples of 673 are 673, 1346, 2019, 2692, 3365

Multiples of 895 - The first five multiples of 895 are 895, 1790, 2685, 3580, 4475

Multiples of 359 - The first five multiples of 359 are 359, 718, 1077, 1436, 1795

Multiples of 528 - The first five multiples of 528 are 528, 1056, 1584, 2112, 2640

Multiples of 269 - The first five multiples of 269 are 269, 538, 807, 1076, 1345

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