Math Tutor Explains: Multiples of 3672

Multiples of 3672 are numbers that can be evenly divided by 3672 without leaving a remainder. A math tutor might explain it as the result of multiplying 3672 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 3672

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 3672, you could just multiply 3672 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 3672, start at 3672 and keep adding 3672 over and over: 3672, 7344, 11016, 14688, and so on. Each of these numbers is a multiple of 3672.

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 3672?

Let’s find the first 10 multiples of 3672 by multiplying:

36721=36723672 * 1 = 3672

36722=73443672 * 2 = 7344

36723=110163672 * 3 = 11016

36724=146883672 * 4 = 14688

36725=183603672 * 5 = 18360

36726=220323672 * 6 = 22032

36727=257043672 * 7 = 25704

36728=293763672 * 8 = 29376

36729=330483672 * 9 = 33048

367210=367203672 * 10 = 36720

So, the first 10 multiples of 3672 are: 3672, 7344, 11016, 14688, 14688, 22032, 25704, 29376, 33048 and 36720.

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 471 - The first five multiples of 471 are 471, 942, 1413, 1884, 2355

Multiples of 939 - The first five multiples of 939 are 939, 1878, 2817, 3756, 4695

Multiples of 876 - The first five multiples of 876 are 876, 1752, 2628, 3504, 4380

Multiples of 241 - The first five multiples of 241 are 241, 482, 723, 964, 1205

Multiples of 439 - The first five multiples of 439 are 439, 878, 1317, 1756, 2195

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