Math Tutor Explains: Multiples of 1003

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 1003, you could start at 1003, and keep adding 1003 over and over: 1003, 2006, 3009, 4012, and so on. Each of these numbers is a multiple of 1003. 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 1003, you could just multiply 1003 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 1003? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1003 are: 1003, 2006, 3009, 4012, 5015, 6018, 7021, 8024, 9027 and 10030.

There are an endless number of multiples of 1003. You could choose any number to multiply by 1003 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 573 - The first five multiples of 573 are 573, 1146, 1719, 2292, 2865

Multiples of 662 - The first five multiples of 662 are 662, 1324, 1986, 2648, 3310

Multiples of 585 - The first five multiples of 585 are 585, 1170, 1755, 2340, 2925

Multiples of 127 - The first five multiples of 127 are 127, 254, 381, 508, 635

Multiples of 215 - The first five multiples of 215 are 215, 430, 645, 860, 1075