Math Tutor Explains: Multiples of 583

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 583, you could start at 583, and keep adding 583 over and over: 583, 1166, 1749, 2332, and so on. Each of these numbers is a multiple of 583. 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 583, you could just multiply 583 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 583? Let’s write it out using the multiplication method:

So, the first 10 multiples of 583 are: 583, 1166, 1749, 2332, 2915, 3498, 4081, 4664, 5247 and 5830.

There are an endless number of multiples of 583. You could choose any number to multiply by 583 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 686 - The first five multiples of 686 are 686, 1372, 2058, 2744, 3430

Multiples of 548 - The first five multiples of 548 are 548, 1096, 1644, 2192, 2740

Multiples of 862 - The first five multiples of 862 are 862, 1724, 2586, 3448, 4310

Multiples of 375 - The first five multiples of 375 are 375, 750, 1125, 1500, 1875

Multiples of 123 - The first five multiples of 123 are 123, 246, 369, 492, 615