Math Tutor Explains: Multiples of 3631

Multiples of 3631 are numbers that can be evenly divided by 3631 without leaving a remainder. A math tutor might explain it as the result of multiplying 3631 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 3631

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 3631, you could just multiply 3631 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 3631, start at 3631 and keep adding 3631 over and over: 3631, 7262, 10893, 14524, and so on. Each of these numbers is a multiple of 3631.

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 3631?

Let’s find the first 10 multiples of 3631 by multiplying:

36311=36313631 * 1 = 3631

36312=72623631 * 2 = 7262

36313=108933631 * 3 = 10893

36314=145243631 * 4 = 14524

36315=181553631 * 5 = 18155

36316=217863631 * 6 = 21786

36317=254173631 * 7 = 25417

36318=290483631 * 8 = 29048

36319=326793631 * 9 = 32679

363110=363103631 * 10 = 36310

So, the first 10 multiples of 3631 are: 3631, 7262, 10893, 14524, 14524, 21786, 25417, 29048, 32679 and 36310.

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 4 - The first five multiples of 4 are 4, 8, 12, 16, 20

Multiples of 463 - The first five multiples of 463 are 463, 926, 1389, 1852, 2315

Multiples of 206 - The first five multiples of 206 are 206, 412, 618, 824, 1030

Multiples of 755 - The first five multiples of 755 are 755, 1510, 2265, 3020, 3775

Multiples of 725 - The first five multiples of 725 are 725, 1450, 2175, 2900, 3625

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