Math Tutor Explains: Multiples of 1806

Multiples of 1806 can be defined as any number that results from multiplying 1806 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1806s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1806

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 1806, you could start at 1806, and keep adding 1806 over and over: 1806, 3612, 5418, 7224, and so on. Each of these numbers is a multiple of 1806. 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 1806, you could just multiply 1806 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 1806?

So, what are the multiples of 1806? Let’s write it out using the multiplication method:

1806×1=18061806 × 1 = 1806

1806×2=36121806 × 2 = 3612

1806×3=54181806 × 3 = 5418

1806×4=72241806 × 4 = 7224

1806×5=90301806 × 5 = 9030

1806×6=108361806 × 6 = 10836

1806×7=126421806 × 7 = 12642

1806×8=144481806 × 8 = 14448

1806×9=162541806 × 9 = 16254

1806×10=180601806 × 10 = 18060

So, the first 10 multiples of 1806 are: 1806, 3612, 5418, 7224, 9030, 10836, 12642, 14448, 16254 and 18060.

There are an endless number of multiples of 1806. You could choose any number to multiply by 1806 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 700 - The first five multiples of 700 are 700, 1400, 2100, 2800, 3500

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

Multiples of 391 - The first five multiples of 391 are 391, 782, 1173, 1564, 1955

Multiples of 641 - The first five multiples of 641 are 641, 1282, 1923, 2564, 3205

Multiples of 819 - The first five multiples of 819 are 819, 1638, 2457, 3276, 4095

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