Math Tutor Explains: Multiples of 422

Multiples of 422 are numbers that can be evenly divided by 422 without leaving a remainder. A math tutor might explain it as the result of multiplying 422 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 422

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 422, you could just multiply 422 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 422, start at 422 and keep adding 422 over and over: 422, 844, 1266, 1688, and so on. Each of these numbers is a multiple of 422.

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 422?

Let’s find the first 10 multiples of 422 by multiplying:

4221=422422 * 1 = 422

4222=844422 * 2 = 844

4223=1266422 * 3 = 1266

4224=1688422 * 4 = 1688

4225=2110422 * 5 = 2110

4226=2532422 * 6 = 2532

4227=2954422 * 7 = 2954

4228=3376422 * 8 = 3376

4229=3798422 * 9 = 3798

42210=4220422 * 10 = 4220

So, the first 10 multiples of 422 are: 422, 844, 1266, 1688, 1688, 2532, 2954, 3376, 3798 and 4220.

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 585 - The first five multiples of 585 are 585, 1170, 1755, 2340, 2925

Multiples of 165 - The first five multiples of 165 are 165, 330, 495, 660, 825

Multiples of 514 - The first five multiples of 514 are 514, 1028, 1542, 2056, 2570

Multiples of 401 - The first five multiples of 401 are 401, 802, 1203, 1604, 2005

Multiples of 848 - The first five multiples of 848 are 848, 1696, 2544, 3392, 4240

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