Math Tutor Explains: Multiples of 1678

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 1678, you could start at 1678, and keep adding 1678 over and over: 1678, 3356, 5034, 6712, and so on. Each of these numbers is a multiple of 1678. 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 1678, you could just multiply 1678 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 1678? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1678 are: 1678, 3356, 5034, 6712, 8390, 10068, 11746, 13424, 15102 and 16780.

There are an endless number of multiples of 1678. You could choose any number to multiply by 1678 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 306 - The first five multiples of 306 are 306, 612, 918, 1224, 1530

Multiples of 503 - The first five multiples of 503 are 503, 1006, 1509, 2012, 2515

Multiples of 962 - The first five multiples of 962 are 962, 1924, 2886, 3848, 4810

Multiples of 408 - The first five multiples of 408 are 408, 816, 1224, 1632, 2040

Multiples of 799 - The first five multiples of 799 are 799, 1598, 2397, 3196, 3995