Math Tutor Explains: Multiples of 1010

Multiples of 1010 can be defined as any number that results from multiplying 1010 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1010s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1010

Methods

Methods for Finding Multiples: from a Math Tutor

For a beginner, a math tutor suggests that you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 1010, you could 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. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.

Another way to do this is to use multiplication. To find the first few multiples of 1010, you could just multiply 1010 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

What are the Multiples of 1010?

So, what are the multiples of 1010? Let’s write it out using the multiplication method:

1010×1=10101010 × 1 = 1010

1010×2=20201010 × 2 = 2020

1010×3=30301010 × 3 = 3030

1010×4=40401010 × 4 = 4040

1010×5=50501010 × 5 = 5050

1010×6=60601010 × 6 = 6060

1010×7=70701010 × 7 = 7070

1010×8=80801010 × 8 = 8080

1010×9=90901010 × 9 = 9090

1010×10=101001010 × 10 = 10100

So, the first 10 multiples of 1010 are: 1010, 2020, 3030, 4040, 5050, 6060, 7070, 8080, 9090 and 10100.

There are an endless number of multiples of 1010. You could choose any number to multiply by 1010 to find a new multiple!

Interesting Facts Shared by a Math Tutor about Multiples

• Every number is considered the smallest multiple of itself.

• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.

• All multiples of even numbers are even.

• The multiples of odd numbers, in sequence, alternate between odd and even numbers.

• You can also find the negative multiples of a number by multiplying by negative numbers.

Math Tutor Suggests Exploring: Practice Finding 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 593 - The first five multiples of 593 are 593, 1186, 1779, 2372, 2965

Multiples of 370 - The first five multiples of 370 are 370, 740, 1110, 1480, 1850

Multiples of 173 - The first five multiples of 173 are 173, 346, 519, 692, 865

Multiples of 573 - The first five multiples of 573 are 573, 1146, 1719, 2292, 2865

Multiples of 187 - The first five multiples of 187 are 187, 374, 561, 748, 935

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