Math Tutor Explains: Multiples of 107

Multiples of 107 are numbers that can be evenly divided by 107 without leaving a remainder. A math tutor might explain it as the result of multiplying 107 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 107

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 107, you could just multiply 107 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 107, start at 107 and keep adding 107 over and over: 107, 214, 321, 428, and so on. Each of these numbers is a multiple of 107.

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 107?

Let’s find the first 10 multiples of 107 by multiplying:

1071=107107 * 1 = 107

1072=214107 * 2 = 214

1073=321107 * 3 = 321

1074=428107 * 4 = 428

1075=535107 * 5 = 535

1076=642107 * 6 = 642

1077=749107 * 7 = 749

1078=856107 * 8 = 856

1079=963107 * 9 = 963

10710=1070107 * 10 = 1070

So, the first 10 multiples of 107 are: 107, 214, 321, 428, 428, 642, 749, 856, 963 and 1070.

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 829 - The first five multiples of 829 are 829, 1658, 2487, 3316, 4145

Multiples of 631 - The first five multiples of 631 are 631, 1262, 1893, 2524, 3155

Multiples of 151 - The first five multiples of 151 are 151, 302, 453, 604, 755

Multiples of 995 - The first five multiples of 995 are 995, 1990, 2985, 3980, 4975

Multiples of 1 - The first five multiples of 1 are 1, 2, 3, 4, 5

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