Math Tutor Explains: Multiples of 1667

Multiples of 1667 can be defined as any number that results from multiplying 1667 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1667s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1667

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 1667, you could start at 1667, and keep adding 1667 over and over: 1667, 3334, 5001, 6668, and so on. Each of these numbers is a multiple of 1667. 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 1667, you could just multiply 1667 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 1667?

So, what are the multiples of 1667? Let’s write it out using the multiplication method:

1667×1=16671667 × 1 = 1667

1667×2=33341667 × 2 = 3334

1667×3=50011667 × 3 = 5001

1667×4=66681667 × 4 = 6668

1667×5=83351667 × 5 = 8335

1667×6=100021667 × 6 = 10002

1667×7=116691667 × 7 = 11669

1667×8=133361667 × 8 = 13336

1667×9=150031667 × 9 = 15003

1667×10=166701667 × 10 = 16670

So, the first 10 multiples of 1667 are: 1667, 3334, 5001, 6668, 8335, 10002, 11669, 13336, 15003 and 16670.

There are an endless number of multiples of 1667. You could choose any number to multiply by 1667 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 959 - The first five multiples of 959 are 959, 1918, 2877, 3836, 4795

Multiples of 721 - The first five multiples of 721 are 721, 1442, 2163, 2884, 3605

Multiples of 332 - The first five multiples of 332 are 332, 664, 996, 1328, 1660

Multiples of 837 - The first five multiples of 837 are 837, 1674, 2511, 3348, 4185

Multiples of 200 - The first five multiples of 200 are 200, 400, 600, 800, 1000

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