Math Tutor Explains: Multiples of 1692

Multiples of 1692 are numbers that can be evenly divided by 1692 without leaving a remainder. A math tutor might explain it as the result of multiplying 1692 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 1692

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 1692, you could just multiply 1692 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 1692, start at 1692 and keep adding 1692 over and over: 1692, 3384, 5076, 6768, and so on. Each of these numbers is a multiple of 1692.

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 1692?

Let’s find the first 10 multiples of 1692 by multiplying:

16921=16921692 * 1 = 1692

16922=33841692 * 2 = 3384

16923=50761692 * 3 = 5076

16924=67681692 * 4 = 6768

16925=84601692 * 5 = 8460

16926=101521692 * 6 = 10152

16927=118441692 * 7 = 11844

16928=135361692 * 8 = 13536

16929=152281692 * 9 = 15228

169210=169201692 * 10 = 16920

So, the first 10 multiples of 1692 are: 1692, 3384, 5076, 6768, 6768, 10152, 11844, 13536, 15228 and 16920.

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 92 - The first five multiples of 92 are 92, 184, 276, 368, 460

Multiples of 166 - The first five multiples of 166 are 166, 332, 498, 664, 830

Multiples of 522 - The first five multiples of 522 are 522, 1044, 1566, 2088, 2610

Multiples of 775 - The first five multiples of 775 are 775, 1550, 2325, 3100, 3875

Multiples of 897 - The first five multiples of 897 are 897, 1794, 2691, 3588, 4485

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