Math Tutor Explains: Multiples of 3538

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 3538, you could start at 3538, and keep adding 3538 over and over: 3538, 7076, 10614, 14152, and so on. Each of these numbers is a multiple of 3538. 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 3538, you could just multiply 3538 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 3538? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3538 are: 3538, 7076, 10614, 14152, 17690, 21228, 24766, 28304, 31842 and 35380.

There are an endless number of multiples of 3538. You could choose any number to multiply by 3538 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 31 - The first five multiples of 31 are 31, 62, 93, 124, 155

Multiples of 758 - The first five multiples of 758 are 758, 1516, 2274, 3032, 3790

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

Multiples of 205 - The first five multiples of 205 are 205, 410, 615, 820, 1025

Multiples of 490 - The first five multiples of 490 are 490, 980, 1470, 1960, 2450