Math Tutor Explains: Multiples of 137

Multiples of 137 are numbers that can be evenly divided by 137 without leaving a remainder. A math tutor might explain it as the result of multiplying 137 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 137

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 137, you could just multiply 137 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 137, start at 137 and keep adding 137 over and over: 137, 274, 411, 548, and so on. Each of these numbers is a multiple of 137.

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 137?

Let’s find the first 10 multiples of 137 by multiplying:

1371=137137 * 1 = 137

1372=274137 * 2 = 274

1373=411137 * 3 = 411

1374=548137 * 4 = 548

1375=685137 * 5 = 685

1376=822137 * 6 = 822

1377=959137 * 7 = 959

1378=1096137 * 8 = 1096

1379=1233137 * 9 = 1233

13710=1370137 * 10 = 1370

So, the first 10 multiples of 137 are: 137, 274, 411, 548, 548, 822, 959, 1096, 1233 and 1370.

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 747 - The first five multiples of 747 are 747, 1494, 2241, 2988, 3735

Multiples of 711 - The first five multiples of 711 are 711, 1422, 2133, 2844, 3555

Multiples of 656 - The first five multiples of 656 are 656, 1312, 1968, 2624, 3280

Multiples of 156 - The first five multiples of 156 are 156, 312, 468, 624, 780

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

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