Math Tutor Explains: Multiples of 4001

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 4001, 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. 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 4001, you could just multiply 4001 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 4001? Let’s write it out using the multiplication method:

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

There are an endless number of multiples of 4001. You could choose any number to multiply by 4001 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 82 - The first five multiples of 82 are 82, 164, 246, 328, 410

Multiples of 322 - The first five multiples of 322 are 322, 644, 966, 1288, 1610

Multiples of 272 - The first five multiples of 272 are 272, 544, 816, 1088, 1360

Multiples of 217 - The first five multiples of 217 are 217, 434, 651, 868, 1085

Multiples of 100 - The first five multiples of 100 are 100, 200, 300, 400, 500