Math Tutor Explains: Multiples of 228

Multiples of 228 can be defined as any number that results from multiplying 228 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 228s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 228

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 228, you could start at 228, and keep adding 228 over and over: 228, 456, 684, 912, and so on. Each of these numbers is a multiple of 228. 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 228, you could just multiply 228 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 228?

So, what are the multiples of 228? Let’s write it out using the multiplication method:

228×1=228228 × 1 = 228

228×2=456228 × 2 = 456

228×3=684228 × 3 = 684

228×4=912228 × 4 = 912

228×5=1140228 × 5 = 1140

228×6=1368228 × 6 = 1368

228×7=1596228 × 7 = 1596

228×8=1824228 × 8 = 1824

228×9=2052228 × 9 = 2052

228×10=2280228 × 10 = 2280

So, the first 10 multiples of 228 are: 228, 456, 684, 912, 1140, 1368, 1596, 1824, 2052 and 2280.

There are an endless number of multiples of 228. You could choose any number to multiply by 228 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 676 - The first five multiples of 676 are 676, 1352, 2028, 2704, 3380

Multiples of 64 - The first five multiples of 64 are 64, 128, 192, 256, 320

Multiples of 403 - The first five multiples of 403 are 403, 806, 1209, 1612, 2015

Multiples of 832 - The first five multiples of 832 are 832, 1664, 2496, 3328, 4160

Multiples of 741 - The first five multiples of 741 are 741, 1482, 2223, 2964, 3705

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