Math Tutor Explains: Multiples of 1214

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 1214, you could start at 1214, and keep adding 1214 over and over: 1214, 2428, 3642, 4856, and so on. Each of these numbers is a multiple of 1214. 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 1214, you could just multiply 1214 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 1214? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1214 are: 1214, 2428, 3642, 4856, 6070, 7284, 8498, 9712, 10926 and 12140.

There are an endless number of multiples of 1214. You could choose any number to multiply by 1214 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 506 - The first five multiples of 506 are 506, 1012, 1518, 2024, 2530

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

Multiples of 339 - The first five multiples of 339 are 339, 678, 1017, 1356, 1695

Multiples of 529 - The first five multiples of 529 are 529, 1058, 1587, 2116, 2645

Multiples of 812 - The first five multiples of 812 are 812, 1624, 2436, 3248, 4060