Math Tutor Explains: Multiples of 4728

Multiples of 4728 are numbers that can be evenly divided by 4728 without leaving a remainder. A math tutor might explain it as the result of multiplying 4728 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 4728

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 4728, you could just multiply 4728 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 4728, start at 4728 and keep adding 4728 over and over: 4728, 9456, 14184, 18912, and so on. Each of these numbers is a multiple of 4728.

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 4728?

Let’s find the first 10 multiples of 4728 by multiplying:

47281=47284728 * 1 = 4728

47282=94564728 * 2 = 9456

47283=141844728 * 3 = 14184

47284=189124728 * 4 = 18912

47285=236404728 * 5 = 23640

47286=283684728 * 6 = 28368

47287=330964728 * 7 = 33096

47288=378244728 * 8 = 37824

47289=425524728 * 9 = 42552

472810=472804728 * 10 = 47280

So, the first 10 multiples of 4728 are: 4728, 9456, 14184, 18912, 18912, 28368, 33096, 37824, 42552 and 47280.

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 737 - The first five multiples of 737 are 737, 1474, 2211, 2948, 3685

Multiples of 454 - The first five multiples of 454 are 454, 908, 1362, 1816, 2270

Multiples of 478 - The first five multiples of 478 are 478, 956, 1434, 1912, 2390

Multiples of 38 - The first five multiples of 38 are 38, 76, 114, 152, 190

Multiples of 307 - The first five multiples of 307 are 307, 614, 921, 1228, 1535

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