Math Tutor Explains: Multiples of 667

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 667, you could start at 667, and keep adding 667 over and over: 667, 1334, 2001, 2668, and so on. Each of these numbers is a multiple of 667. 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 667, you could just multiply 667 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 667? Let’s write it out using the multiplication method:

So, the first 10 multiples of 667 are: 667, 1334, 2001, 2668, 3335, 4002, 4669, 5336, 6003 and 6670.

There are an endless number of multiples of 667. You could choose any number to multiply by 667 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 795 - The first five multiples of 795 are 795, 1590, 2385, 3180, 3975

Multiples of 219 - The first five multiples of 219 are 219, 438, 657, 876, 1095

Multiples of 617 - The first five multiples of 617 are 617, 1234, 1851, 2468, 3085

Multiples of 412 - The first five multiples of 412 are 412, 824, 1236, 1648, 2060

Multiples of 908 - The first five multiples of 908 are 908, 1816, 2724, 3632, 4540