Math Tutor Explains: Multiples of 36

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 36, you could just multiply 36 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 36, start at 36 and keep adding 36 over and over: 36, 72, 108, 144, and so on. Each of these numbers is a multiple of 36.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 36 by multiplying:

So, the first 10 multiples of 36 are: 36, 72, 108, 144, 144, 216, 252, 288, 324 and 360.

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find 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 793 - The first five multiples of 793 are 793, 1586, 2379, 3172, 3965

Multiples of 854 - The first five multiples of 854 are 854, 1708, 2562, 3416, 4270

Multiples of 696 - The first five multiples of 696 are 696, 1392, 2088, 2784, 3480

Multiples of 599 - The first five multiples of 599 are 599, 1198, 1797, 2396, 2995

Multiples of 517 - The first five multiples of 517 are 517, 1034, 1551, 2068, 2585