Math Tutor Explains: Multiples of 3504

Multiples of 3504 can be defined as any number that results from multiplying 3504 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 3504s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 3504

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 3504, you could start at 3504, and keep adding 3504 over and over: 3504, 7008, 10512, 14016, and so on. Each of these numbers is a multiple of 3504. 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 3504, you could just multiply 3504 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 3504?

So, what are the multiples of 3504? Let’s write it out using the multiplication method:

3504×1=35043504 × 1 = 3504

3504×2=70083504 × 2 = 7008

3504×3=105123504 × 3 = 10512

3504×4=140163504 × 4 = 14016

3504×5=175203504 × 5 = 17520

3504×6=210243504 × 6 = 21024

3504×7=245283504 × 7 = 24528

3504×8=280323504 × 8 = 28032

3504×9=315363504 × 9 = 31536

3504×10=350403504 × 10 = 35040

So, the first 10 multiples of 3504 are: 3504, 7008, 10512, 14016, 17520, 21024, 24528, 28032, 31536 and 35040.

There are an endless number of multiples of 3504. You could choose any number to multiply by 3504 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 373 - The first five multiples of 373 are 373, 746, 1119, 1492, 1865

Multiples of 519 - The first five multiples of 519 are 519, 1038, 1557, 2076, 2595

Multiples of 482 - The first five multiples of 482 are 482, 964, 1446, 1928, 2410

Multiples of 985 - The first five multiples of 985 are 985, 1970, 2955, 3940, 4925

Multiples of 410 - The first five multiples of 410 are 410, 820, 1230, 1640, 2050

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