Math Tutor Explains: Multiples of 3897

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 3897, you could start at 3897, and keep adding 3897 over and over: 3897, 7794, 11691, 15588, and so on. Each of these numbers is a multiple of 3897. 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 3897, you could just multiply 3897 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 3897? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3897 are: 3897, 7794, 11691, 15588, 19485, 23382, 27279, 31176, 35073 and 38970.

There are an endless number of multiples of 3897. You could choose any number to multiply by 3897 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 727 - The first five multiples of 727 are 727, 1454, 2181, 2908, 3635

Multiples of 37 - The first five multiples of 37 are 37, 74, 111, 148, 185

Multiples of 684 - The first five multiples of 684 are 684, 1368, 2052, 2736, 3420

Multiples of 693 - The first five multiples of 693 are 693, 1386, 2079, 2772, 3465

Multiples of 475 - The first five multiples of 475 are 475, 950, 1425, 1900, 2375