Math Tutor Explains: Multiples of 4601

Multiples of 4601 are numbers that can be evenly divided by 4601 without leaving a remainder. A math tutor might explain it as the result of multiplying 4601 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 4601

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 4601, you could just multiply 4601 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 4601, start at 4601 and keep adding 4601 over and over: 4601, 9202, 13803, 18404, and so on. Each of these numbers is a multiple of 4601.

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 4601?

Let’s find the first 10 multiples of 4601 by multiplying:

46011=46014601 * 1 = 4601

46012=92024601 * 2 = 9202

46013=138034601 * 3 = 13803

46014=184044601 * 4 = 18404

46015=230054601 * 5 = 23005

46016=276064601 * 6 = 27606

46017=322074601 * 7 = 32207

46018=368084601 * 8 = 36808

46019=414094601 * 9 = 41409

460110=460104601 * 10 = 46010

So, the first 10 multiples of 4601 are: 4601, 9202, 13803, 18404, 18404, 27606, 32207, 36808, 41409 and 46010.

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 201 - The first five multiples of 201 are 201, 402, 603, 804, 1005

Multiples of 530 - The first five multiples of 530 are 530, 1060, 1590, 2120, 2650

Multiples of 384 - The first five multiples of 384 are 384, 768, 1152, 1536, 1920

Multiples of 614 - The first five multiples of 614 are 614, 1228, 1842, 2456, 3070

Multiples of 23 - The first five multiples of 23 are 23, 46, 69, 92, 115

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