Math Tutor Explains: Multiples of 2013

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 2013, you could just multiply 2013 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 2013, start at 2013 and keep adding 2013 over and over: 2013, 4026, 6039, 8052, and so on. Each of these numbers is a multiple of 2013.

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 2013 by multiplying:

So, the first 10 multiples of 2013 are: 2013, 4026, 6039, 8052, 8052, 12078, 14091, 16104, 18117 and 20130.

• 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 19 - The first five multiples of 19 are 19, 38, 57, 76, 95

Multiples of 937 - The first five multiples of 937 are 937, 1874, 2811, 3748, 4685

Multiples of 819 - The first five multiples of 819 are 819, 1638, 2457, 3276, 4095

Multiples of 305 - The first five multiples of 305 are 305, 610, 915, 1220, 1525

Multiples of 420 - The first five multiples of 420 are 420, 840, 1260, 1680, 2100