Math Tutor Explains: Multiples of 23

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 23 using this method, you could start at 23, and keep adding 23 over and over: 23, 46, 69, 92, and so on. Each of these numbers is a multiple of 23. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 23. To find the first few multiples of 23, you could just multiply the 23 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

To find the first 10 multiples of 23, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 23 are: 23, 46, 69, 92, 115, 138, 161, 184, 207 and 230.

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be 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 417 - The first five multiples of 417 are 417, 834, 1251, 1668, 2085

Multiples of 313 - The first five multiples of 313 are 313, 626, 939, 1252, 1565

Multiples of 45 - The first five multiples of 45 are 45, 90, 135, 180, 225

Multiples of 162 - The first five multiples of 162 are 162, 324, 486, 648, 810

Multiples of 391 - The first five multiples of 391 are 391, 782, 1173, 1564, 1955