Math Tutor Explains: Multiples of 28

Multiples of 28 are numbers that can be evenly divided by 28 without leaving a remainder. A math tutor might explain it as the result of multiplying 28 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 28

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 28, you could just multiply 28 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 28, start at 28 and keep adding 28 over and over: 28, 56, 84, 112, and so on. Each of these numbers is a multiple of 28.

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 28?

Let’s find the first 10 multiples of 28 by multiplying:

281=2828 * 1 = 28

282=5628 * 2 = 56

283=8428 * 3 = 84

284=11228 * 4 = 112

285=14028 * 5 = 140

286=16828 * 6 = 168

287=19628 * 7 = 196

288=22428 * 8 = 224

289=25228 * 9 = 252

2810=28028 * 10 = 280

So, the first 10 multiples of 28 are: 28, 56, 84, 112, 112, 168, 196, 224, 252 and 280.

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 24 - The first five multiples of 24 are 24, 48, 72, 96, 120

Multiples of 510 - The first five multiples of 510 are 510, 1020, 1530, 2040, 2550

Multiples of 340 - The first five multiples of 340 are 340, 680, 1020, 1360, 1700

Multiples of 669 - The first five multiples of 669 are 669, 1338, 2007, 2676, 3345

Multiples of 235 - The first five multiples of 235 are 235, 470, 705, 940, 1175

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