Math Tutor Explains: Multiples of 1010

Multiples of 1010 are numbers that can be evenly divided by 1010 without leaving a remainder. A math tutor might explain it as the result of multiplying 1010 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 1010

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 1010, you could just multiply 1010 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 1010, start at 1010 and keep adding 1010 over and over: 1010, 2020, 3030, 4040, and so on. Each of these numbers is a multiple of 1010.

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 1010?

Let’s find the first 10 multiples of 1010 by multiplying:

10101=10101010 * 1 = 1010

10102=20201010 * 2 = 2020

10103=30301010 * 3 = 3030

10104=40401010 * 4 = 4040

10105=50501010 * 5 = 5050

10106=60601010 * 6 = 6060

10107=70701010 * 7 = 7070

10108=80801010 * 8 = 8080

10109=90901010 * 9 = 9090

101010=101001010 * 10 = 10100

So, the first 10 multiples of 1010 are: 1010, 2020, 3030, 4040, 4040, 6060, 7070, 8080, 9090 and 10100.

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 547 - The first five multiples of 547 are 547, 1094, 1641, 2188, 2735

Multiples of 833 - The first five multiples of 833 are 833, 1666, 2499, 3332, 4165

Multiples of 273 - The first five multiples of 273 are 273, 546, 819, 1092, 1365

Multiples of 97 - The first five multiples of 97 are 97, 194, 291, 388, 485

Multiples of 512 - The first five multiples of 512 are 512, 1024, 1536, 2048, 2560

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