Math Tutor Explains: Multiples of 3014

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 3014, you could start at 3014, and keep adding 3014 over and over: 3014, 6028, 9042, 12056, and so on. Each of these numbers is a multiple of 3014. 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 3014, you could just multiply 3014 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 3014? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3014 are: 3014, 6028, 9042, 12056, 15070, 18084, 21098, 24112, 27126 and 30140.

There are an endless number of multiples of 3014. You could choose any number to multiply by 3014 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 228 - The first five multiples of 228 are 228, 456, 684, 912, 1140

Multiples of 38 - The first five multiples of 38 are 38, 76, 114, 152, 190

Multiples of 356 - The first five multiples of 356 are 356, 712, 1068, 1424, 1780

Multiples of 432 - The first five multiples of 432 are 432, 864, 1296, 1728, 2160

Multiples of 542 - The first five multiples of 542 are 542, 1084, 1626, 2168, 2710