Math Tutor Explains: Multiples of 3114

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 3114, you could start at 3114, and keep adding 3114 over and over: 3114, 6228, 9342, 12456, and so on. Each of these numbers is a multiple of 3114. 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 3114, you could just multiply 3114 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 3114? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3114 are: 3114, 6228, 9342, 12456, 15570, 18684, 21798, 24912, 28026 and 31140.

There are an endless number of multiples of 3114. You could choose any number to multiply by 3114 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 947 - The first five multiples of 947 are 947, 1894, 2841, 3788, 4735

Multiples of 137 - The first five multiples of 137 are 137, 274, 411, 548, 685

Multiples of 825 - The first five multiples of 825 are 825, 1650, 2475, 3300, 4125

Multiples of 106 - The first five multiples of 106 are 106, 212, 318, 424, 530

Multiples of 368 - The first five multiples of 368 are 368, 736, 1104, 1472, 1840