Math Tutor Explains: Multiples of 4717

Multiples of 4717 are numbers that can be evenly divided by 4717 without leaving a remainder. A math tutor might explain it as the result of multiplying 4717 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 4717

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 4717, you could just multiply 4717 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 4717, start at 4717 and keep adding 4717 over and over: 4717, 9434, 14151, 18868, and so on. Each of these numbers is a multiple of 4717.

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 4717?

Let’s find the first 10 multiples of 4717 by multiplying:

47171=47174717 * 1 = 4717

47172=94344717 * 2 = 9434

47173=141514717 * 3 = 14151

47174=188684717 * 4 = 18868

47175=235854717 * 5 = 23585

47176=283024717 * 6 = 28302

47177=330194717 * 7 = 33019

47178=377364717 * 8 = 37736

47179=424534717 * 9 = 42453

471710=471704717 * 10 = 47170

So, the first 10 multiples of 4717 are: 4717, 9434, 14151, 18868, 18868, 28302, 33019, 37736, 42453 and 47170.

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 948 - The first five multiples of 948 are 948, 1896, 2844, 3792, 4740

Multiples of 152 - The first five multiples of 152 are 152, 304, 456, 608, 760

Multiples of 251 - The first five multiples of 251 are 251, 502, 753, 1004, 1255

Multiples of 408 - The first five multiples of 408 are 408, 816, 1224, 1632, 2040

Multiples of 902 - The first five multiples of 902 are 902, 1804, 2706, 3608, 4510

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