Math Tutor Explains: Multiples of 1716

Multiples of 1716 are numbers that can be evenly divided by 1716 without leaving a remainder. A math tutor might explain it as the result of multiplying 1716 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 1716

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 1716, you could just multiply 1716 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 1716, start at 1716 and keep adding 1716 over and over: 1716, 3432, 5148, 6864, and so on. Each of these numbers is a multiple of 1716.

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 1716?

Let’s find the first 10 multiples of 1716 by multiplying:

17161=17161716 * 1 = 1716

17162=34321716 * 2 = 3432

17163=51481716 * 3 = 5148

17164=68641716 * 4 = 6864

17165=85801716 * 5 = 8580

17166=102961716 * 6 = 10296

17167=120121716 * 7 = 12012

17168=137281716 * 8 = 13728

17169=154441716 * 9 = 15444

171610=171601716 * 10 = 17160

So, the first 10 multiples of 1716 are: 1716, 3432, 5148, 6864, 6864, 10296, 12012, 13728, 15444 and 17160.

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 137 - The first five multiples of 137 are 137, 274, 411, 548, 685

Multiples of 83 - The first five multiples of 83 are 83, 166, 249, 332, 415

Multiples of 936 - The first five multiples of 936 are 936, 1872, 2808, 3744, 4680

Multiples of 468 - The first five multiples of 468 are 468, 936, 1404, 1872, 2340

Multiples of 242 - The first five multiples of 242 are 242, 484, 726, 968, 1210

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