Math Tutor Explains: Multiples of 1009

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 1009, you could just multiply 1009 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 1009, 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.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 1009 by multiplying:

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

• 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.

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 877 - The first five multiples of 877 are 877, 1754, 2631, 3508, 4385

Multiples of 509 - The first five multiples of 509 are 509, 1018, 1527, 2036, 2545

Multiples of 568 - The first five multiples of 568 are 568, 1136, 1704, 2272, 2840

Multiples of 54 - The first five multiples of 54 are 54, 108, 162, 216, 270

Multiples of 295 - The first five multiples of 295 are 295, 590, 885, 1180, 1475