Math Tutor Explains: Multiples of 3002

Multiples of 3002 can be defined as any number that results from multiplying 3002 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3002s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3002

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 3002, you could start at 3002, and keep adding 3002 over and over: 3002, 6004, 9006, 12008, and so on. Each of these numbers is a multiple of 3002. 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 3002, you could just multiply 3002 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 3002?

So, what are the multiples of 3002? Let’s write it out using the multiplication method:

3002×1=30023002 × 1 = 3002

3002×2=60043002 × 2 = 6004

3002×3=90063002 × 3 = 9006

3002×4=120083002 × 4 = 12008

3002×5=150103002 × 5 = 15010

3002×6=180123002 × 6 = 18012

3002×7=210143002 × 7 = 21014

3002×8=240163002 × 8 = 24016

3002×9=270183002 × 9 = 27018

3002×10=300203002 × 10 = 30020

So, the first 10 multiples of 3002 are: 3002, 6004, 9006, 12008, 15010, 18012, 21014, 24016, 27018 and 30020.

There are an endless number of multiples of 3002. You could choose any number to multiply by 3002 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 660 - The first five multiples of 660 are 660, 1320, 1980, 2640, 3300

Multiples of 116 - The first five multiples of 116 are 116, 232, 348, 464, 580

Multiples of 335 - The first five multiples of 335 are 335, 670, 1005, 1340, 1675

Multiples of 123 - The first five multiples of 123 are 123, 246, 369, 492, 615

Multiples of 562 - The first five multiples of 562 are 562, 1124, 1686, 2248, 2810

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