Math Tutor Explains: Multiples of 2021

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 2021, you could start at 2021, and keep adding 2021 over and over: 2021, 4042, 6063, 8084, and so on. Each of these numbers is a multiple of 2021. 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 2021, you could just multiply 2021 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 2021? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2021 are: 2021, 4042, 6063, 8084, 10105, 12126, 14147, 16168, 18189 and 20210.

There are an endless number of multiples of 2021. You could choose any number to multiply by 2021 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 299 - The first five multiples of 299 are 299, 598, 897, 1196, 1495

Multiples of 464 - The first five multiples of 464 are 464, 928, 1392, 1856, 2320

Multiples of 918 - The first five multiples of 918 are 918, 1836, 2754, 3672, 4590

Multiples of 296 - The first five multiples of 296 are 296, 592, 888, 1184, 1480

Multiples of 21 - The first five multiples of 21 are 21, 42, 63, 84, 105