Math Tutor Explains: Multiples of 4268

Multiples of 4268 are numbers that can be evenly divided by 4268 without leaving a remainder. A math tutor might explain it as the result of multiplying 4268 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 4268

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 4268, you could just multiply 4268 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 4268, start at 4268 and keep adding 4268 over and over: 4268, 8536, 12804, 17072, and so on. Each of these numbers is a multiple of 4268.

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 4268?

Let’s find the first 10 multiples of 4268 by multiplying:

42681=42684268 * 1 = 4268

42682=85364268 * 2 = 8536

42683=128044268 * 3 = 12804

42684=170724268 * 4 = 17072

42685=213404268 * 5 = 21340

42686=256084268 * 6 = 25608

42687=298764268 * 7 = 29876

42688=341444268 * 8 = 34144

42689=384124268 * 9 = 38412

426810=426804268 * 10 = 42680

So, the first 10 multiples of 4268 are: 4268, 8536, 12804, 17072, 17072, 25608, 29876, 34144, 38412 and 42680.

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 788 - The first five multiples of 788 are 788, 1576, 2364, 3152, 3940

Multiples of 338 - The first five multiples of 338 are 338, 676, 1014, 1352, 1690

Multiples of 278 - The first five multiples of 278 are 278, 556, 834, 1112, 1390

Multiples of 741 - The first five multiples of 741 are 741, 1482, 2223, 2964, 3705

Multiples of 978 - The first five multiples of 978 are 978, 1956, 2934, 3912, 4890

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