Math Tutor Explains: Multiples of 84

Multiples of 84 are numbers that can be evenly divided by 84 without leaving a remainder. A math tutor might explain it as the result of multiplying 84 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 84

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 84, you could just multiply 84 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 84, start at 84 and keep adding 84 over and over: 84, 168, 252, 336, and so on. Each of these numbers is a multiple of 84.

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 84?

Let’s find the first 10 multiples of 84 by multiplying:

841=8484 * 1 = 84

842=16884 * 2 = 168

843=25284 * 3 = 252

844=33684 * 4 = 336

845=42084 * 5 = 420

846=50484 * 6 = 504

847=58884 * 7 = 588

848=67284 * 8 = 672

849=75684 * 9 = 756

8410=84084 * 10 = 840

So, the first 10 multiples of 84 are: 84, 168, 252, 336, 336, 504, 588, 672, 756 and 840.

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 751 - The first five multiples of 751 are 751, 1502, 2253, 3004, 3755

Multiples of 253 - The first five multiples of 253 are 253, 506, 759, 1012, 1265

Multiples of 952 - The first five multiples of 952 are 952, 1904, 2856, 3808, 4760

Multiples of 403 - The first five multiples of 403 are 403, 806, 1209, 1612, 2015

Multiples of 853 - The first five multiples of 853 are 853, 1706, 2559, 3412, 4265

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