Math Tutor Explains: Multiples of 1009

Multiples of 1009 are any numbers that result from multiplying 1009 by a whole number. In reverse, any number that can be divided by 1009 and results in a whole number is also a multiple of 1009. A math tutor can help explain these concepts in detail and provide strategies to quickly identify multiples.

Multiples of 1009

Methods

Methods for Finding Multiples: from a Math Tutor

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 1009 using this method, you could start at 1009, and keep adding 1009 over and over: 1009, 2018, 3027, 4036, and so on. Each of these numbers is a multiple of 1009. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 1009. To find the first few multiples of 1009, you could just multiply the 1009 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

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 1009?

To find the first 10 multiples of 1009, let’s multiply in sequence from 1 to 10:

10091=10091009 * 1 = 1009

10092=20181009 * 2 = 2018

10093=30271009 * 3 = 3027

10094=40361009 * 4 = 4036

10095=50451009 * 5 = 5045

10096=60541009 * 6 = 6054

10097=70631009 * 7 = 7063

10098=80721009 * 8 = 8072

10099=90811009 * 9 = 9081

100910=100901009 * 10 = 10090

So, the first 10 multiples of 1009 are: 1009, 2018, 3027, 4036, 5045, 6054, 7063, 8072, 9081 and 10090.

Interesting Facts Shared by a Math Tutor about Multiples

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be 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: Want to Find Other Multiples?

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 662 - The first five multiples of 662 are 662, 1324, 1986, 2648, 3310

Multiples of 197 - The first five multiples of 197 are 197, 394, 591, 788, 985

Multiples of 475 - The first five multiples of 475 are 475, 950, 1425, 1900, 2375

Multiples of 277 - The first five multiples of 277 are 277, 554, 831, 1108, 1385

Multiples of 699 - The first five multiples of 699 are 699, 1398, 2097, 2796, 3495

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