Math Tutor Explains: Multiples of 2314

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 2314, you could start at 2314, and keep adding 2314 over and over: 2314, 4628, 6942, 9256, and so on. Each of these numbers is a multiple of 2314. 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 2314, you could just multiply 2314 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 2314? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2314 are: 2314, 4628, 6942, 9256, 11570, 13884, 16198, 18512, 20826 and 23140.

There are an endless number of multiples of 2314. You could choose any number to multiply by 2314 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 423 - The first five multiples of 423 are 423, 846, 1269, 1692, 2115

Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100

Multiples of 649 - The first five multiples of 649 are 649, 1298, 1947, 2596, 3245

Multiples of 498 - The first five multiples of 498 are 498, 996, 1494, 1992, 2490

Multiples of 853 - The first five multiples of 853 are 853, 1706, 2559, 3412, 4265