Math Tutor Explains: Multiples of 4010

Multiples of 4010 are numbers that can be evenly divided by 4010 without leaving a remainder. A math tutor might explain it as the result of multiplying 4010 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 4010

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 4010, you could just multiply 4010 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 4010, start at 4010 and keep adding 4010 over and over: 4010, 8020, 12030, 16040, and so on. Each of these numbers is a multiple of 4010.

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 4010?

Let’s find the first 10 multiples of 4010 by multiplying:

40101=40104010 * 1 = 4010

40102=80204010 * 2 = 8020

40103=120304010 * 3 = 12030

40104=160404010 * 4 = 16040

40105=200504010 * 5 = 20050

40106=240604010 * 6 = 24060

40107=280704010 * 7 = 28070

40108=320804010 * 8 = 32080

40109=360904010 * 9 = 36090

401010=401004010 * 10 = 40100

So, the first 10 multiples of 4010 are: 4010, 8020, 12030, 16040, 16040, 24060, 28070, 32080, 36090 and 40100.

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 33 - The first five multiples of 33 are 33, 66, 99, 132, 165

Multiples of 952 - The first five multiples of 952 are 952, 1904, 2856, 3808, 4760

Multiples of 898 - The first five multiples of 898 are 898, 1796, 2694, 3592, 4490

Multiples of 361 - The first five multiples of 361 are 361, 722, 1083, 1444, 1805

Multiples of 939 - The first five multiples of 939 are 939, 1878, 2817, 3756, 4695

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