Math Tutor Explains: Multiples of 165

Multiples of 165 are numbers that can be evenly divided by 165 without leaving a remainder. A math tutor might explain it as the result of multiplying 165 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 165

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 165, you could just multiply 165 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 165, start at 165 and keep adding 165 over and over: 165, 330, 495, 660, and so on. Each of these numbers is a multiple of 165.

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 165?

Let’s find the first 10 multiples of 165 by multiplying:

1651=165165 * 1 = 165

1652=330165 * 2 = 330

1653=495165 * 3 = 495

1654=660165 * 4 = 660

1655=825165 * 5 = 825

1656=990165 * 6 = 990

1657=1155165 * 7 = 1155

1658=1320165 * 8 = 1320

1659=1485165 * 9 = 1485

16510=1650165 * 10 = 1650

So, the first 10 multiples of 165 are: 165, 330, 495, 660, 660, 990, 1155, 1320, 1485 and 1650.

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 253 - The first five multiples of 253 are 253, 506, 759, 1012, 1265

Multiples of 356 - The first five multiples of 356 are 356, 712, 1068, 1424, 1780

Multiples of 637 - The first five multiples of 637 are 637, 1274, 1911, 2548, 3185

Multiples of 358 - The first five multiples of 358 are 358, 716, 1074, 1432, 1790

Multiples of 212 - The first five multiples of 212 are 212, 424, 636, 848, 1060

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