Math Tutor Explains: Multiples of 4202

Multiples of 4202 are numbers that can be evenly divided by 4202 without leaving a remainder. A math tutor might explain it as the result of multiplying 4202 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 4202

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 4202, you could just multiply 4202 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 4202, start at 4202 and keep adding 4202 over and over: 4202, 8404, 12606, 16808, and so on. Each of these numbers is a multiple of 4202.

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 4202?

Let’s find the first 10 multiples of 4202 by multiplying:

42021=42024202 * 1 = 4202

42022=84044202 * 2 = 8404

42023=126064202 * 3 = 12606

42024=168084202 * 4 = 16808

42025=210104202 * 5 = 21010

42026=252124202 * 6 = 25212

42027=294144202 * 7 = 29414

42028=336164202 * 8 = 33616

42029=378184202 * 9 = 37818

420210=420204202 * 10 = 42020

So, the first 10 multiples of 4202 are: 4202, 8404, 12606, 16808, 16808, 25212, 29414, 33616, 37818 and 42020.

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 142 - The first five multiples of 142 are 142, 284, 426, 568, 710

Multiples of 563 - The first five multiples of 563 are 563, 1126, 1689, 2252, 2815

Multiples of 913 - The first five multiples of 913 are 913, 1826, 2739, 3652, 4565

Multiples of 29 - The first five multiples of 29 are 29, 58, 87, 116, 145

Multiples of 171 - The first five multiples of 171 are 171, 342, 513, 684, 855

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