Math Tutor Explains: Multiples of 360

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 360, you could just multiply 360 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 360, start at 360 and keep adding 360 over and over: 360, 720, 1080, 1440, and so on. Each of these numbers is a multiple of 360.

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 360 by multiplying:

So, the first 10 multiples of 360 are: 360, 720, 1080, 1440, 1440, 2160, 2520, 2880, 3240 and 3600.

• 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 523 - The first five multiples of 523 are 523, 1046, 1569, 2092, 2615

Multiples of 529 - The first five multiples of 529 are 529, 1058, 1587, 2116, 2645

Multiples of 540 - The first five multiples of 540 are 540, 1080, 1620, 2160, 2700

Multiples of 73 - The first five multiples of 73 are 73, 146, 219, 292, 365

Multiples of 686 - The first five multiples of 686 are 686, 1372, 2058, 2744, 3430