Math Tutor Explains: Multiples of 2354

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 2354, you could start at 2354, and keep adding 2354 over and over: 2354, 4708, 7062, 9416, and so on. Each of these numbers is a multiple of 2354. 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 2354, you could just multiply 2354 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 2354? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2354 are: 2354, 4708, 7062, 9416, 11770, 14124, 16478, 18832, 21186 and 23540.

There are an endless number of multiples of 2354. You could choose any number to multiply by 2354 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 920 - The first five multiples of 920 are 920, 1840, 2760, 3680, 4600

Multiples of 546 - The first five multiples of 546 are 546, 1092, 1638, 2184, 2730

Multiples of 367 - The first five multiples of 367 are 367, 734, 1101, 1468, 1835

Multiples of 663 - The first five multiples of 663 are 663, 1326, 1989, 2652, 3315

Multiples of 124 - The first five multiples of 124 are 124, 248, 372, 496, 620