Math Tutor Explains: Multiples of 2198

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 2198, you could start at 2198, and keep adding 2198 over and over: 2198, 4396, 6594, 8792, and so on. Each of these numbers is a multiple of 2198. 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 2198, you could just multiply 2198 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 2198? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2198 are: 2198, 4396, 6594, 8792, 10990, 13188, 15386, 17584, 19782 and 21980.

There are an endless number of multiples of 2198. You could choose any number to multiply by 2198 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 53 - The first five multiples of 53 are 53, 106, 159, 212, 265

Multiples of 961 - The first five multiples of 961 are 961, 1922, 2883, 3844, 4805

Multiples of 480 - The first five multiples of 480 are 480, 960, 1440, 1920, 2400

Multiples of 142 - The first five multiples of 142 are 142, 284, 426, 568, 710

Multiples of 958 - The first five multiples of 958 are 958, 1916, 2874, 3832, 4790