Math Tutor Explains: Multiples of 3708

Multiples of 3708 are numbers that can be evenly divided by 3708 without leaving a remainder. A math tutor might explain it as the result of multiplying 3708 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 3708

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 3708, you could just multiply 3708 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 3708, start at 3708 and keep adding 3708 over and over: 3708, 7416, 11124, 14832, and so on. Each of these numbers is a multiple of 3708.

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 3708?

Let’s find the first 10 multiples of 3708 by multiplying:

37081=37083708 * 1 = 3708

37082=74163708 * 2 = 7416

37083=111243708 * 3 = 11124

37084=148323708 * 4 = 14832

37085=185403708 * 5 = 18540

37086=222483708 * 6 = 22248

37087=259563708 * 7 = 25956

37088=296643708 * 8 = 29664

37089=333723708 * 9 = 33372

370810=370803708 * 10 = 37080

So, the first 10 multiples of 3708 are: 3708, 7416, 11124, 14832, 14832, 22248, 25956, 29664, 33372 and 37080.

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 689 - The first five multiples of 689 are 689, 1378, 2067, 2756, 3445

Multiples of 924 - The first five multiples of 924 are 924, 1848, 2772, 3696, 4620

Multiples of 340 - The first five multiples of 340 are 340, 680, 1020, 1360, 1700

Multiples of 99 - The first five multiples of 99 are 99, 198, 297, 396, 495

Multiples of 665 - The first five multiples of 665 are 665, 1330, 1995, 2660, 3325

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