Math Tutor Explains: Multiples of 1002

Multiples of 1002 can be defined as any number that results from multiplying 1002 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 1002s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 1002

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 1002, you could start at 1002, and keep adding 1002 over and over: 1002, 2004, 3006, 4008, and so on. Each of these numbers is a multiple of 1002. 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 1002, you could just multiply 1002 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 1002?

So, what are the multiples of 1002? Let’s write it out using the multiplication method:

1002×1=10021002 × 1 = 1002

1002×2=20041002 × 2 = 2004

1002×3=30061002 × 3 = 3006

1002×4=40081002 × 4 = 4008

1002×5=50101002 × 5 = 5010

1002×6=60121002 × 6 = 6012

1002×7=70141002 × 7 = 7014

1002×8=80161002 × 8 = 8016

1002×9=90181002 × 9 = 9018

1002×10=100201002 × 10 = 10020

So, the first 10 multiples of 1002 are: 1002, 2004, 3006, 4008, 5010, 6012, 7014, 8016, 9018 and 10020.

There are an endless number of multiples of 1002. You could choose any number to multiply by 1002 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 433 - The first five multiples of 433 are 433, 866, 1299, 1732, 2165

Multiples of 520 - The first five multiples of 520 are 520, 1040, 1560, 2080, 2600

Multiples of 763 - The first five multiples of 763 are 763, 1526, 2289, 3052, 3815

Multiples of 408 - The first five multiples of 408 are 408, 816, 1224, 1632, 2040

Multiples of 257 - The first five multiples of 257 are 257, 514, 771, 1028, 1285

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