Math Tutor Explains: Multiples of 4321

Multiples of 4321 are numbers that can be evenly divided by 4321 without leaving a remainder. A math tutor might explain it as the result of multiplying 4321 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 4321

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 4321, you could just multiply 4321 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 4321, start at 4321 and keep adding 4321 over and over: 4321, 8642, 12963, 17284, and so on. Each of these numbers is a multiple of 4321.

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 4321?

Let’s find the first 10 multiples of 4321 by multiplying:

43211=43214321 * 1 = 4321

43212=86424321 * 2 = 8642

43213=129634321 * 3 = 12963

43214=172844321 * 4 = 17284

43215=216054321 * 5 = 21605

43216=259264321 * 6 = 25926

43217=302474321 * 7 = 30247

43218=345684321 * 8 = 34568

43219=388894321 * 9 = 38889

432110=432104321 * 10 = 43210

So, the first 10 multiples of 4321 are: 4321, 8642, 12963, 17284, 17284, 25926, 30247, 34568, 38889 and 43210.

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 318 - The first five multiples of 318 are 318, 636, 954, 1272, 1590

Multiples of 110 - The first five multiples of 110 are 110, 220, 330, 440, 550

Multiples of 229 - The first five multiples of 229 are 229, 458, 687, 916, 1145

Multiples of 283 - The first five multiples of 283 are 283, 566, 849, 1132, 1415

Multiples of 279 - The first five multiples of 279 are 279, 558, 837, 1116, 1395

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