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 128 - The first five multiples of 128 are 128, 256, 384, 512, 640

Multiples of 708 - The first five multiples of 708 are 708, 1416, 2124, 2832, 3540

Multiples of 160 - The first five multiples of 160 are 160, 320, 480, 640, 800

Multiples of 398 - The first five multiples of 398 are 398, 796, 1194, 1592, 1990

Multiples of 328 - The first five multiples of 328 are 328, 656, 984, 1312, 1640