Math Tutor Explains: Multiples of 315

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 315, you could just multiply 315 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 315, 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.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 315 by multiplying:

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

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find negative multiples of a number by multiplying by negative 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 13 - The first five multiples of 13 are 13, 26, 39, 52, 65

Multiples of 675 - The first five multiples of 675 are 675, 1350, 2025, 2700, 3375

Multiples of 797 - The first five multiples of 797 are 797, 1594, 2391, 3188, 3985

Multiples of 281 - The first five multiples of 281 are 281, 562, 843, 1124, 1405

Multiples of 484 - The first five multiples of 484 are 484, 968, 1452, 1936, 2420