Math Tutor Explains: Multiples of 2013

Our math tutors suggest that to get started with multiples, the easiest way is just to add a number to itself over and over again. For instance, if you want to find the multiples of 2013 using this method, you could 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. Usually, this method works with numbers that are easily added to itself. As you get into larger numbers, it can become difficult to continue adding.

Another way to do this, as discussed above, is to use choose any number and multiply it by 2013. To find the first few multiples of 2013, you could just multiply the 2013 by 1, then 2, then 3, and so on, until you have as many multiples as you would like.

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

To find the first 10 multiples of 2013, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 2013 are: 2013, 4026, 6039, 8052, 10065, 12078, 14091, 16104, 18117 and 20130.

• The smallest multiple of any number is itself.

• When you multiply two numbers together, the result is a multiple of both numbers.

• Every multiple of even numbers will also be 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 113 - The first five multiples of 113 are 113, 226, 339, 452, 565

Multiples of 448 - The first five multiples of 448 are 448, 896, 1344, 1792, 2240

Multiples of 797 - The first five multiples of 797 are 797, 1594, 2391, 3188, 3985

Multiples of 126 - The first five multiples of 126 are 126, 252, 378, 504, 630

Multiples of 482 - The first five multiples of 482 are 482, 964, 1446, 1928, 2410