Math Tutor Explains: Multiples of 409

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 409, you could start at 409, and keep adding 409 over and over: 409, 818, 1227, 1636, and so on. Each of these numbers is a multiple of 409. 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 409, you could just multiply 409 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 409? Let’s write it out using the multiplication method:

So, the first 10 multiples of 409 are: 409, 818, 1227, 1636, 2045, 2454, 2863, 3272, 3681 and 4090.

There are an endless number of multiples of 409. You could choose any number to multiply by 409 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 476 - The first five multiples of 476 are 476, 952, 1428, 1904, 2380

Multiples of 726 - The first five multiples of 726 are 726, 1452, 2178, 2904, 3630

Multiples of 999 - The first five multiples of 999 are 999, 1998, 2997, 3996, 4995

Multiples of 238 - The first five multiples of 238 are 238, 476, 714, 952, 1190

Multiples of 567 - The first five multiples of 567 are 567, 1134, 1701, 2268, 2835