Math Tutor Explains: Multiples of 1909

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 1909, you could start at 1909, and keep adding 1909 over and over: 1909, 3818, 5727, 7636, and so on. Each of these numbers is a multiple of 1909. 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 1909, you could just multiply 1909 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 1909? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1909 are: 1909, 3818, 5727, 7636, 9545, 11454, 13363, 15272, 17181 and 19090.

There are an endless number of multiples of 1909. You could choose any number to multiply by 1909 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 495 - The first five multiples of 495 are 495, 990, 1485, 1980, 2475

Multiples of 583 - The first five multiples of 583 are 583, 1166, 1749, 2332, 2915

Multiples of 297 - The first five multiples of 297 are 297, 594, 891, 1188, 1485

Multiples of 284 - The first five multiples of 284 are 284, 568, 852, 1136, 1420

Multiples of 298 - The first five multiples of 298 are 298, 596, 894, 1192, 1490