Math Tutor Explains: Multiples of 2004

For a beginner, a math tutor suggests that you can find the multiples of a number by skip-counting to the next number. For Instance, if you want to find the multiples of 2004, you could 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. Typically, this works best only for smaller numbers, as adding larger numbers together over and over can be difficult.

Another way to do this is to use multiplication. To find the first few multiples of 2004, you could just multiply 2004 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

So, what are the multiples of 2004? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2004 are: 2004, 4008, 6012, 8016, 10020, 12024, 14028, 16032, 18036 and 20040.

There are an endless number of multiples of 2004. You could choose any number to multiply by 2004 to find a new multiple!

• Every number is considered the smallest multiple of itself.

• A multiple of a number is very often also the multiple of another number. This is because if you multiply two numbers together, the result is a multiple of both numbers.

• All multiples of even numbers are 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 508 - The first five multiples of 508 are 508, 1016, 1524, 2032, 2540

Multiples of 534 - The first five multiples of 534 are 534, 1068, 1602, 2136, 2670

Multiples of 431 - The first five multiples of 431 are 431, 862, 1293, 1724, 2155

Multiples of 440 - The first five multiples of 440 are 440, 880, 1320, 1760, 2200

Multiples of 34 - The first five multiples of 34 are 34, 68, 102, 136, 170