Math Tutor Explains: Multiples of 4001

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 4001 using this method, you could start at 4001, and keep adding 4001 over and over: 4001, 8002, 12003, 16004, and so on. Each of these numbers is a multiple of 4001. 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 4001. To find the first few multiples of 4001, you could just multiply the 4001 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 4001, let’s multiply in sequence from 1 to 10:

So, the first 10 multiples of 4001 are: 4001, 8002, 12003, 16004, 20005, 24006, 28007, 32008, 36009 and 40010.

• 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 242 - The first five multiples of 242 are 242, 484, 726, 968, 1210

Multiples of 958 - The first five multiples of 958 are 958, 1916, 2874, 3832, 4790

Multiples of 741 - The first five multiples of 741 are 741, 1482, 2223, 2964, 3705

Multiples of 119 - The first five multiples of 119 are 119, 238, 357, 476, 595

Multiples of 47 - The first five multiples of 47 are 47, 94, 141, 188, 235