Math Tutor Explains: Multiples of 523

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 523, you could start at 523, and keep adding 523 over and over: 523, 1046, 1569, 2092, and so on. Each of these numbers is a multiple of 523. 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 523, you could just multiply 523 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 523? Let’s write it out using the multiplication method:

So, the first 10 multiples of 523 are: 523, 1046, 1569, 2092, 2615, 3138, 3661, 4184, 4707 and 5230.

There are an endless number of multiples of 523. You could choose any number to multiply by 523 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 753 - The first five multiples of 753 are 753, 1506, 2259, 3012, 3765

Multiples of 167 - The first five multiples of 167 are 167, 334, 501, 668, 835

Multiples of 978 - The first five multiples of 978 are 978, 1956, 2934, 3912, 4890

Multiples of 731 - The first five multiples of 731 are 731, 1462, 2193, 2924, 3655

Multiples of 704 - The first five multiples of 704 are 704, 1408, 2112, 2816, 3520