Math Tutor Explains: Multiples of 471

Multiples of 471 are numbers that can be evenly divided by 471 without leaving a remainder. A math tutor might explain it as the result of multiplying 471 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 471

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 471, you could just multiply 471 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 471, start at 471 and keep adding 471 over and over: 471, 942, 1413, 1884, and so on. Each of these numbers is a multiple of 471.

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 471?

Let’s find the first 10 multiples of 471 by multiplying:

4711=471471 * 1 = 471

4712=942471 * 2 = 942

4713=1413471 * 3 = 1413

4714=1884471 * 4 = 1884

4715=2355471 * 5 = 2355

4716=2826471 * 6 = 2826

4717=3297471 * 7 = 3297

4718=3768471 * 8 = 3768

4719=4239471 * 9 = 4239

47110=4710471 * 10 = 4710

So, the first 10 multiples of 471 are: 471, 942, 1413, 1884, 1884, 2826, 3297, 3768, 4239 and 4710.

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 783 - The first five multiples of 783 are 783, 1566, 2349, 3132, 3915

Multiples of 670 - The first five multiples of 670 are 670, 1340, 2010, 2680, 3350

Multiples of 857 - The first five multiples of 857 are 857, 1714, 2571, 3428, 4285

Multiples of 296 - The first five multiples of 296 are 296, 592, 888, 1184, 1480

Multiples of 163 - The first five multiples of 163 are 163, 326, 489, 652, 815

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