Math Tutor Explains: Multiples of 2004

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 2004, you could just multiply 2004 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 2004, start at 2004 and keep adding 2004 over and over: 2004, 4008, 6012, 8016, and so on. Each of these numbers is a multiple of 2004.

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 2004 by multiplying:

So, the first 10 multiples of 2004 are: 2004, 4008, 6012, 8016, 8016, 12024, 14028, 16032, 18036 and 20040.

• 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 882 - The first five multiples of 882 are 882, 1764, 2646, 3528, 4410

Multiples of 955 - The first five multiples of 955 are 955, 1910, 2865, 3820, 4775

Multiples of 510 - The first five multiples of 510 are 510, 1020, 1530, 2040, 2550

Multiples of 658 - The first five multiples of 658 are 658, 1316, 1974, 2632, 3290

Multiples of 323 - The first five multiples of 323 are 323, 646, 969, 1292, 1615