Math Tutor Explains: Multiples of 144

Multiples of 144 are numbers that can be evenly divided by 144 without leaving a remainder. A math tutor might explain it as the result of multiplying 144 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 144

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 144, you could just multiply 144 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 144, start at 144 and keep adding 144 over and over: 144, 288, 432, 576, and so on. Each of these numbers is a multiple of 144.

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 144?

Let’s find the first 10 multiples of 144 by multiplying:

1441=144144 * 1 = 144

1442=288144 * 2 = 288

1443=432144 * 3 = 432

1444=576144 * 4 = 576

1445=720144 * 5 = 720

1446=864144 * 6 = 864

1447=1008144 * 7 = 1008

1448=1152144 * 8 = 1152

1449=1296144 * 9 = 1296

14410=1440144 * 10 = 1440

So, the first 10 multiples of 144 are: 144, 288, 432, 576, 576, 864, 1008, 1152, 1296 and 1440.

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 407 - The first five multiples of 407 are 407, 814, 1221, 1628, 2035

Multiples of 11 - The first five multiples of 11 are 11, 22, 33, 44, 55

Multiples of 892 - The first five multiples of 892 are 892, 1784, 2676, 3568, 4460

Multiples of 304 - The first five multiples of 304 are 304, 608, 912, 1216, 1520

Multiples of 139 - The first five multiples of 139 are 139, 278, 417, 556, 695

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