Math Tutor Explains: Multiples of 4000

Multiples of 4000 can be defined as any number that results from multiplying 4000 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 4000s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 4000

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 4000, you could start at 4000, and keep adding 4000 over and over: 4000, 8000, 12000, 16000, and so on. Each of these numbers is a multiple of 4000. 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 4000, you could just multiply 4000 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 4000?

So, what are the multiples of 4000? Let’s write it out using the multiplication method:

4000×1=40004000 × 1 = 4000

4000×2=80004000 × 2 = 8000

4000×3=120004000 × 3 = 12000

4000×4=160004000 × 4 = 16000

4000×5=200004000 × 5 = 20000

4000×6=240004000 × 6 = 24000

4000×7=280004000 × 7 = 28000

4000×8=320004000 × 8 = 32000

4000×9=360004000 × 9 = 36000

4000×10=400004000 × 10 = 40000

So, the first 10 multiples of 4000 are: 4000, 8000, 12000, 16000, 20000, 24000, 28000, 32000, 36000 and 40000.

There are an endless number of multiples of 4000. You could choose any number to multiply by 4000 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 860 - The first five multiples of 860 are 860, 1720, 2580, 3440, 4300

Multiples of 734 - The first five multiples of 734 are 734, 1468, 2202, 2936, 3670

Multiples of 910 - The first five multiples of 910 are 910, 1820, 2730, 3640, 4550

Multiples of 802 - The first five multiples of 802 are 802, 1604, 2406, 3208, 4010

Multiples of 251 - The first five multiples of 251 are 251, 502, 753, 1004, 1255

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