Math Tutor Explains: Multiples of 3523

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 3523, you could start at 3523, and keep adding 3523 over and over: 3523, 7046, 10569, 14092, and so on. Each of these numbers is a multiple of 3523. 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 3523, you could just multiply 3523 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 3523? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3523 are: 3523, 7046, 10569, 14092, 17615, 21138, 24661, 28184, 31707 and 35230.

There are an endless number of multiples of 3523. You could choose any number to multiply by 3523 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 743 - The first five multiples of 743 are 743, 1486, 2229, 2972, 3715

Multiples of 212 - The first five multiples of 212 are 212, 424, 636, 848, 1060

Multiples of 404 - The first five multiples of 404 are 404, 808, 1212, 1616, 2020

Multiples of 21 - The first five multiples of 21 are 21, 42, 63, 84, 105

Multiples of 81 - The first five multiples of 81 are 81, 162, 243, 324, 405