Math Tutor Explains: Multiples of 698

Multiples of 698 are numbers that can be evenly divided by 698 without leaving a remainder. A math tutor might explain it as the result of multiplying 698 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 698

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 698, you could just multiply 698 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 698, start at 698 and keep adding 698 over and over: 698, 1396, 2094, 2792, and so on. Each of these numbers is a multiple of 698.

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 698?

Let’s find the first 10 multiples of 698 by multiplying:

6981=698698 * 1 = 698

6982=1396698 * 2 = 1396

6983=2094698 * 3 = 2094

6984=2792698 * 4 = 2792

6985=3490698 * 5 = 3490

6986=4188698 * 6 = 4188

6987=4886698 * 7 = 4886

6988=5584698 * 8 = 5584

6989=6282698 * 9 = 6282

69810=6980698 * 10 = 6980

So, the first 10 multiples of 698 are: 698, 1396, 2094, 2792, 2792, 4188, 4886, 5584, 6282 and 6980.

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

Multiples of 629 - The first five multiples of 629 are 629, 1258, 1887, 2516, 3145

Multiples of 210 - The first five multiples of 210 are 210, 420, 630, 840, 1050

Multiples of 711 - The first five multiples of 711 are 711, 1422, 2133, 2844, 3555

Multiples of 869 - The first five multiples of 869 are 869, 1738, 2607, 3476, 4345

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