Math Tutor Explains: Multiples of 2355

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 2355, you could start at 2355, and keep adding 2355 over and over: 2355, 4710, 7065, 9420, and so on. Each of these numbers is a multiple of 2355. 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 2355, you could just multiply 2355 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 2355? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2355 are: 2355, 4710, 7065, 9420, 11775, 14130, 16485, 18840, 21195 and 23550.

There are an endless number of multiples of 2355. You could choose any number to multiply by 2355 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 57 - The first five multiples of 57 are 57, 114, 171, 228, 285

Multiples of 114 - The first five multiples of 114 are 114, 228, 342, 456, 570

Multiples of 695 - The first five multiples of 695 are 695, 1390, 2085, 2780, 3475

Multiples of 323 - The first five multiples of 323 are 323, 646, 969, 1292, 1615

Multiples of 891 - The first five multiples of 891 are 891, 1782, 2673, 3564, 4455