Math Tutor Explains: Multiples of 723

Multiples of 723 are numbers that can be evenly divided by 723 without leaving a remainder. A math tutor might explain it as the result of multiplying 723 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 723

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 723, you could just multiply 723 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 723, start at 723 and keep adding 723 over and over: 723, 1446, 2169, 2892, and so on. Each of these numbers is a multiple of 723.

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 723?

Let’s find the first 10 multiples of 723 by multiplying:

7231=723723 * 1 = 723

7232=1446723 * 2 = 1446

7233=2169723 * 3 = 2169

7234=2892723 * 4 = 2892

7235=3615723 * 5 = 3615

7236=4338723 * 6 = 4338

7237=5061723 * 7 = 5061

7238=5784723 * 8 = 5784

7239=6507723 * 9 = 6507

72310=7230723 * 10 = 7230

So, the first 10 multiples of 723 are: 723, 1446, 2169, 2892, 2892, 4338, 5061, 5784, 6507 and 7230.

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

Multiples of 70 - The first five multiples of 70 are 70, 140, 210, 280, 350

Multiples of 183 - The first five multiples of 183 are 183, 366, 549, 732, 915

Multiples of 575 - The first five multiples of 575 are 575, 1150, 1725, 2300, 2875

Multiples of 564 - The first five multiples of 564 are 564, 1128, 1692, 2256, 2820

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