Math Tutor Explains: Multiples of 2738

Multiples of 2738 are numbers that can be evenly divided by 2738 without leaving a remainder. A math tutor might explain it as the result of multiplying 2738 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 2738

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 2738, you could just multiply 2738 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 2738, start at 2738 and keep adding 2738 over and over: 2738, 5476, 8214, 10952, and so on. Each of these numbers is a multiple of 2738.

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 2738?

Let’s find the first 10 multiples of 2738 by multiplying:

27381=27382738 * 1 = 2738

27382=54762738 * 2 = 5476

27383=82142738 * 3 = 8214

27384=109522738 * 4 = 10952

27385=136902738 * 5 = 13690

27386=164282738 * 6 = 16428

27387=191662738 * 7 = 19166

27388=219042738 * 8 = 21904

27389=246422738 * 9 = 24642

273810=273802738 * 10 = 27380

So, the first 10 multiples of 2738 are: 2738, 5476, 8214, 10952, 10952, 16428, 19166, 21904, 24642 and 27380.

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 781 - The first five multiples of 781 are 781, 1562, 2343, 3124, 3905

Multiples of 326 - The first five multiples of 326 are 326, 652, 978, 1304, 1630

Multiples of 168 - The first five multiples of 168 are 168, 336, 504, 672, 840

Multiples of 318 - The first five multiples of 318 are 318, 636, 954, 1272, 1590

Multiples of 674 - The first five multiples of 674 are 674, 1348, 2022, 2696, 3370

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