Math Tutor Explains: Multiples of 1001

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 1001, you could start at 1001, and keep adding 1001 over and over: 1001, 2002, 3003, 4004, and so on. Each of these numbers is a multiple of 1001. 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 1001, you could just multiply 1001 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 1001? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1001 are: 1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009 and 10010.

There are an endless number of multiples of 1001. You could choose any number to multiply by 1001 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 898 - The first five multiples of 898 are 898, 1796, 2694, 3592, 4490

Multiples of 856 - The first five multiples of 856 are 856, 1712, 2568, 3424, 4280

Multiples of 816 - The first five multiples of 816 are 816, 1632, 2448, 3264, 4080

Multiples of 122 - The first five multiples of 122 are 122, 244, 366, 488, 610

Multiples of 498 - The first five multiples of 498 are 498, 996, 1494, 1992, 2490