Math Tutor Explains: Multiples of 3683

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 3683, you could start at 3683, and keep adding 3683 over and over: 3683, 7366, 11049, 14732, and so on. Each of these numbers is a multiple of 3683. 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 3683, you could just multiply 3683 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 3683? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3683 are: 3683, 7366, 11049, 14732, 18415, 22098, 25781, 29464, 33147 and 36830.

There are an endless number of multiples of 3683. You could choose any number to multiply by 3683 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 403 - The first five multiples of 403 are 403, 806, 1209, 1612, 2015

Multiples of 256 - The first five multiples of 256 are 256, 512, 768, 1024, 1280

Multiples of 992 - The first five multiples of 992 are 992, 1984, 2976, 3968, 4960

Multiples of 767 - The first five multiples of 767 are 767, 1534, 2301, 3068, 3835

Multiples of 64 - The first five multiples of 64 are 64, 128, 192, 256, 320