Math Tutor Explains: Multiples of 823

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 823, you could start at 823, and keep adding 823 over and over: 823, 1646, 2469, 3292, and so on. Each of these numbers is a multiple of 823. 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 823, you could just multiply 823 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 823? Let’s write it out using the multiplication method:

So, the first 10 multiples of 823 are: 823, 1646, 2469, 3292, 4115, 4938, 5761, 6584, 7407 and 8230.

There are an endless number of multiples of 823. You could choose any number to multiply by 823 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 215 - The first five multiples of 215 are 215, 430, 645, 860, 1075

Multiples of 837 - The first five multiples of 837 are 837, 1674, 2511, 3348, 4185

Multiples of 381 - The first five multiples of 381 are 381, 762, 1143, 1524, 1905

Multiples of 400 - The first five multiples of 400 are 400, 800, 1200, 1600, 2000

Multiples of 638 - The first five multiples of 638 are 638, 1276, 1914, 2552, 3190