Math Tutor Explains: Multiples of 3807

Multiples of 3807 are numbers that can be evenly divided by 3807 without leaving a remainder. A math tutor might explain it as the result of multiplying 3807 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 3807

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 3807, you could just multiply 3807 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 3807, start at 3807 and keep adding 3807 over and over: 3807, 7614, 11421, 15228, and so on. Each of these numbers is a multiple of 3807.

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 3807?

Let’s find the first 10 multiples of 3807 by multiplying:

38071=38073807 * 1 = 3807

38072=76143807 * 2 = 7614

38073=114213807 * 3 = 11421

38074=152283807 * 4 = 15228

38075=190353807 * 5 = 19035

38076=228423807 * 6 = 22842

38077=266493807 * 7 = 26649

38078=304563807 * 8 = 30456

38079=342633807 * 9 = 34263

380710=380703807 * 10 = 38070

So, the first 10 multiples of 3807 are: 3807, 7614, 11421, 15228, 15228, 22842, 26649, 30456, 34263 and 38070.

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

Multiples of 649 - The first five multiples of 649 are 649, 1298, 1947, 2596, 3245

Multiples of 425 - The first five multiples of 425 are 425, 850, 1275, 1700, 2125

Multiples of 831 - The first five multiples of 831 are 831, 1662, 2493, 3324, 4155

Multiples of 117 - The first five multiples of 117 are 117, 234, 351, 468, 585

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