Math Tutor Explains: Multiples of 3117

Multiples of 3117 are numbers that can be evenly divided by 3117 without leaving a remainder. A math tutor might explain it as the result of multiplying 3117 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 3117

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 3117, you could just multiply 3117 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 3117, start at 3117 and keep adding 3117 over and over: 3117, 6234, 9351, 12468, and so on. Each of these numbers is a multiple of 3117.

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 3117?

Let’s find the first 10 multiples of 3117 by multiplying:

31171=31173117 * 1 = 3117

31172=62343117 * 2 = 6234

31173=93513117 * 3 = 9351

31174=124683117 * 4 = 12468

31175=155853117 * 5 = 15585

31176=187023117 * 6 = 18702

31177=218193117 * 7 = 21819

31178=249363117 * 8 = 24936

31179=280533117 * 9 = 28053

311710=311703117 * 10 = 31170

So, the first 10 multiples of 3117 are: 3117, 6234, 9351, 12468, 12468, 18702, 21819, 24936, 28053 and 31170.

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 701 - The first five multiples of 701 are 701, 1402, 2103, 2804, 3505

Multiples of 219 - The first five multiples of 219 are 219, 438, 657, 876, 1095

Multiples of 382 - The first five multiples of 382 are 382, 764, 1146, 1528, 1910

Multiples of 825 - The first five multiples of 825 are 825, 1650, 2475, 3300, 4125

Multiples of 44 - The first five multiples of 44 are 44, 88, 132, 176, 220

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