Math Tutor Explains: Multiples of 68

Multiples of 68 can be defined as any number that results from multiplying 68 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 68s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 68

Methods

Methods for Finding Multiples: from a Math Tutor

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 68, you could start at 68, and keep adding 68 over and over: 68, 136, 204, 272, and so on. Each of these numbers is a multiple of 68. 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 68, you could just multiply 68 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

What are the Multiples of 68?

So, what are the multiples of 68? Let’s write it out using the multiplication method:

68×1=6868 × 1 = 68

68×2=13668 × 2 = 136

68×3=20468 × 3 = 204

68×4=27268 × 4 = 272

68×5=34068 × 5 = 340

68×6=40868 × 6 = 408

68×7=47668 × 7 = 476

68×8=54468 × 8 = 544

68×9=61268 × 9 = 612

68×10=68068 × 10 = 680

So, the first 10 multiples of 68 are: 68, 136, 204, 272, 340, 408, 476, 544, 612 and 680.

There are an endless number of multiples of 68. You could choose any number to multiply by 68 to find a new multiple!

Interesting Facts Shared by a Math Tutor about Multiples

• 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.

Math Tutor Suggests Exploring: Practice Finding Multiples of Other 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 451 - The first five multiples of 451 are 451, 902, 1353, 1804, 2255

Multiples of 851 - The first five multiples of 851 are 851, 1702, 2553, 3404, 4255

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

Multiples of 336 - The first five multiples of 336 are 336, 672, 1008, 1344, 1680

Multiples of 803 - The first five multiples of 803 are 803, 1606, 2409, 3212, 4015

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