Math Tutor Explains: Multiples of 2397

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 2397, you could start at 2397, and keep adding 2397 over and over: 2397, 4794, 7191, 9588, and so on. Each of these numbers is a multiple of 2397. 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 2397, you could just multiply 2397 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 2397? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2397 are: 2397, 4794, 7191, 9588, 11985, 14382, 16779, 19176, 21573 and 23970.

There are an endless number of multiples of 2397. You could choose any number to multiply by 2397 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 560 - The first five multiples of 560 are 560, 1120, 1680, 2240, 2800

Multiples of 714 - The first five multiples of 714 are 714, 1428, 2142, 2856, 3570

Multiples of 116 - The first five multiples of 116 are 116, 232, 348, 464, 580

Multiples of 363 - The first five multiples of 363 are 363, 726, 1089, 1452, 1815

Multiples of 468 - The first five multiples of 468 are 468, 936, 1404, 1872, 2340