Math Tutor Explains: Multiples of 164

Multiples of 164 are numbers that can be evenly divided by 164 without leaving a remainder. A math tutor might explain it as the result of multiplying 164 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 164

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 164, you could just multiply 164 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 164, start at 164 and keep adding 164 over and over: 164, 328, 492, 656, and so on. Each of these numbers is a multiple of 164.

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 164?

Let’s find the first 10 multiples of 164 by multiplying:

1641=164164 * 1 = 164

1642=328164 * 2 = 328

1643=492164 * 3 = 492

1644=656164 * 4 = 656

1645=820164 * 5 = 820

1646=984164 * 6 = 984

1647=1148164 * 7 = 1148

1648=1312164 * 8 = 1312

1649=1476164 * 9 = 1476

16410=1640164 * 10 = 1640

So, the first 10 multiples of 164 are: 164, 328, 492, 656, 656, 984, 1148, 1312, 1476 and 1640.

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 394 - The first five multiples of 394 are 394, 788, 1182, 1576, 1970

Multiples of 201 - The first five multiples of 201 are 201, 402, 603, 804, 1005

Multiples of 798 - The first five multiples of 798 are 798, 1596, 2394, 3192, 3990

Multiples of 233 - The first five multiples of 233 are 233, 466, 699, 932, 1165

Multiples of 931 - The first five multiples of 931 are 931, 1862, 2793, 3724, 4655

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