Math Tutor Explains: Multiples of 509

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 509, you could start at 509, and keep adding 509 over and over: 509, 1018, 1527, 2036, and so on. Each of these numbers is a multiple of 509. 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 509, you could just multiply 509 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 509? Let’s write it out using the multiplication method:

So, the first 10 multiples of 509 are: 509, 1018, 1527, 2036, 2545, 3054, 3563, 4072, 4581 and 5090.

There are an endless number of multiples of 509. You could choose any number to multiply by 509 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 748 - The first five multiples of 748 are 748, 1496, 2244, 2992, 3740

Multiples of 779 - The first five multiples of 779 are 779, 1558, 2337, 3116, 3895

Multiples of 516 - The first five multiples of 516 are 516, 1032, 1548, 2064, 2580

Multiples of 316 - The first five multiples of 316 are 316, 632, 948, 1264, 1580

Multiples of 790 - The first five multiples of 790 are 790, 1580, 2370, 3160, 3950