Math Tutor Explains: Multiples of 1166

Multiples of 1166 are numbers that can be evenly divided by 1166 without leaving a remainder. A math tutor might explain it as the result of multiplying 1166 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 1166

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 1166, you could just multiply 1166 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 1166, start at 1166 and keep adding 1166 over and over: 1166, 2332, 3498, 4664, and so on. Each of these numbers is a multiple of 1166.

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 1166?

Let’s find the first 10 multiples of 1166 by multiplying:

11661=11661166 * 1 = 1166

11662=23321166 * 2 = 2332

11663=34981166 * 3 = 3498

11664=46641166 * 4 = 4664

11665=58301166 * 5 = 5830

11666=69961166 * 6 = 6996

11667=81621166 * 7 = 8162

11668=93281166 * 8 = 9328

11669=104941166 * 9 = 10494

116610=116601166 * 10 = 11660

So, the first 10 multiples of 1166 are: 1166, 2332, 3498, 4664, 4664, 6996, 8162, 9328, 10494 and 11660.

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 856 - The first five multiples of 856 are 856, 1712, 2568, 3424, 4280

Multiples of 749 - The first five multiples of 749 are 749, 1498, 2247, 2996, 3745

Multiples of 145 - The first five multiples of 145 are 145, 290, 435, 580, 725

Multiples of 842 - The first five multiples of 842 are 842, 1684, 2526, 3368, 4210

Multiples of 823 - The first five multiples of 823 are 823, 1646, 2469, 3292, 4115

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