Math Tutor Explains: Multiples of 3109

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 3109, you could start at 3109, and keep adding 3109 over and over: 3109, 6218, 9327, 12436, and so on. Each of these numbers is a multiple of 3109. 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 3109, you could just multiply 3109 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

So, what are the multiples of 3109? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3109 are: 3109, 6218, 9327, 12436, 15545, 18654, 21763, 24872, 27981 and 31090.

There are an endless number of multiples of 3109. You could choose any number to multiply by 3109 to find a new multiple!

• 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.

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 252 - The first five multiples of 252 are 252, 504, 756, 1008, 1260

Multiples of 906 - The first five multiples of 906 are 906, 1812, 2718, 3624, 4530

Multiples of 349 - The first five multiples of 349 are 349, 698, 1047, 1396, 1745

Multiples of 821 - The first five multiples of 821 are 821, 1642, 2463, 3284, 4105

Multiples of 121 - The first five multiples of 121 are 121, 242, 363, 484, 605