Math Tutor Explains: Multiples of 2001

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 2001 using this method, you could start at 2001, and keep adding 2001 over and over: 2001, 4002, 6003, 8004, and so on. Each of these numbers is a multiple of 2001. 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 2001. To find the first few multiples of 2001, you could just multiply the 2001 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 2001, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 2001 are: 2001, 4002, 6003, 8004, 10005, 12006, 14007, 16008, 18009 and 20010.

• 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 397 - The first five multiples of 397 are 397, 794, 1191, 1588, 1985

Multiples of 241 - The first five multiples of 241 are 241, 482, 723, 964, 1205

Multiples of 586 - The first five multiples of 586 are 586, 1172, 1758, 2344, 2930

Multiples of 583 - The first five multiples of 583 are 583, 1166, 1749, 2332, 2915

Multiples of 677 - The first five multiples of 677 are 677, 1354, 2031, 2708, 3385