Math Tutor Explains: Multiples of 315

Multiples of 315 can be defined as any number that results from multiplying 315 by a whole number. Another way to think about it is as 'the numbers you get when you have multiple 315s.' A math tutor can help break this down further and provide tips for quickly identifying multiples.

Multiples of 315

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 315, you could start at 315, and keep adding 315 over and over: 315, 630, 945, 1260, and so on. Each of these numbers is a multiple of 315. 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 315, you could just multiply 315 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 315?

So, what are the multiples of 315? Let’s write it out using the multiplication method:

315×1=315315 × 1 = 315

315×2=630315 × 2 = 630

315×3=945315 × 3 = 945

315×4=1260315 × 4 = 1260

315×5=1575315 × 5 = 1575

315×6=1890315 × 6 = 1890

315×7=2205315 × 7 = 2205

315×8=2520315 × 8 = 2520

315×9=2835315 × 9 = 2835

315×10=3150315 × 10 = 3150

So, the first 10 multiples of 315 are: 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835 and 3150.

There are an endless number of multiples of 315. You could choose any number to multiply by 315 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 251 - The first five multiples of 251 are 251, 502, 753, 1004, 1255

Multiples of 926 - The first five multiples of 926 are 926, 1852, 2778, 3704, 4630

Multiples of 343 - The first five multiples of 343 are 343, 686, 1029, 1372, 1715

Multiples of 326 - The first five multiples of 326 are 326, 652, 978, 1304, 1630

Multiples of 61 - The first five multiples of 61 are 61, 122, 183, 244, 305

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