Math Tutor Explains: Multiples of 198

Multiples of 198 are numbers that can be evenly divided by 198 without leaving a remainder. A math tutor might explain it as the result of multiplying 198 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 198

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 198, you could just multiply 198 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 198, start at 198 and keep adding 198 over and over: 198, 396, 594, 792, and so on. Each of these numbers is a multiple of 198.

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 198?

Let’s find the first 10 multiples of 198 by multiplying:

1981=198198 * 1 = 198

1982=396198 * 2 = 396

1983=594198 * 3 = 594

1984=792198 * 4 = 792

1985=990198 * 5 = 990

1986=1188198 * 6 = 1188

1987=1386198 * 7 = 1386

1988=1584198 * 8 = 1584

1989=1782198 * 9 = 1782

19810=1980198 * 10 = 1980

So, the first 10 multiples of 198 are: 198, 396, 594, 792, 792, 1188, 1386, 1584, 1782 and 1980.

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 921 - The first five multiples of 921 are 921, 1842, 2763, 3684, 4605

Multiples of 281 - The first five multiples of 281 are 281, 562, 843, 1124, 1405

Multiples of 892 - The first five multiples of 892 are 892, 1784, 2676, 3568, 4460

Multiples of 686 - The first five multiples of 686 are 686, 1372, 2058, 2744, 3430

Multiples of 660 - The first five multiples of 660 are 660, 1320, 1980, 2640, 3300

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