Math Tutor Explains: Multiples of 1683

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 1683, you could start at 1683, and keep adding 1683 over and over: 1683, 3366, 5049, 6732, and so on. Each of these numbers is a multiple of 1683. 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 1683, you could just multiply 1683 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 1683? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1683 are: 1683, 3366, 5049, 6732, 8415, 10098, 11781, 13464, 15147 and 16830.

There are an endless number of multiples of 1683. You could choose any number to multiply by 1683 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 512 - The first five multiples of 512 are 512, 1024, 1536, 2048, 2560

Multiples of 85 - The first five multiples of 85 are 85, 170, 255, 340, 425

Multiples of 412 - The first five multiples of 412 are 412, 824, 1236, 1648, 2060

Multiples of 144 - The first five multiples of 144 are 144, 288, 432, 576, 720

Multiples of 237 - The first five multiples of 237 are 237, 474, 711, 948, 1185