Math Tutor Explains: Multiples of 1009

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 1009, you could start at 1009, and keep adding 1009 over and over: 1009, 2018, 3027, 4036, and so on. Each of these numbers is a multiple of 1009. 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 1009, you could just multiply 1009 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 1009? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1009 are: 1009, 2018, 3027, 4036, 5045, 6054, 7063, 8072, 9081 and 10090.

There are an endless number of multiples of 1009. You could choose any number to multiply by 1009 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 377 - The first five multiples of 377 are 377, 754, 1131, 1508, 1885

Multiples of 673 - The first five multiples of 673 are 673, 1346, 2019, 2692, 3365

Multiples of 418 - The first five multiples of 418 are 418, 836, 1254, 1672, 2090

Multiples of 563 - The first five multiples of 563 are 563, 1126, 1689, 2252, 2815

Multiples of 283 - The first five multiples of 283 are 283, 566, 849, 1132, 1415