Math Tutor Explains: Multiples of 1713

Multiples of 1713 are numbers that can be evenly divided by 1713 without leaving a remainder. A math tutor might explain it as the result of multiplying 1713 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 1713

Methods

Methods for Finding Multiples from a Math Tutor

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 1713, you could just multiply 1713 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 1713, start at 1713 and keep adding 1713 over and over: 1713, 3426, 5139, 6852, and so on. Each of these numbers is a multiple of 1713.

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 1713?

Let’s find the first 10 multiples of 1713 by multiplying:

17131=17131713 * 1 = 1713

17132=34261713 * 2 = 3426

17133=51391713 * 3 = 5139

17134=68521713 * 4 = 6852

17135=85651713 * 5 = 8565

17136=102781713 * 6 = 10278

17137=119911713 * 7 = 11991

17138=137041713 * 8 = 13704

17139=154171713 * 9 = 15417

171310=171301713 * 10 = 17130

So, the first 10 multiples of 1713 are: 1713, 3426, 5139, 6852, 6852, 10278, 11991, 13704, 15417 and 17130.

Interesting Facts about Multiples from a Math Tutor

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative numbers.

Math Tutor Tip: Try to Find The 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 485 - The first five multiples of 485 are 485, 970, 1455, 1940, 2425

Multiples of 950 - The first five multiples of 950 are 950, 1900, 2850, 3800, 4750

Multiples of 705 - The first five multiples of 705 are 705, 1410, 2115, 2820, 3525

Multiples of 794 - The first five multiples of 794 are 794, 1588, 2382, 3176, 3970

Multiples of 158 - The first five multiples of 158 are 158, 316, 474, 632, 790

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