Math Tutor Explains: Multiples of 2015

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 2015, you could just multiply 2015 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 2015, start at 2015 and keep adding 2015 over and over: 2015, 4030, 6045, 8060, and so on. Each of these numbers is a multiple of 2015.

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 2015 by multiplying:

So, the first 10 multiples of 2015 are: 2015, 4030, 6045, 8060, 8060, 12090, 14105, 16120, 18135 and 20150.

• 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 50 - The first five multiples of 50 are 50, 100, 150, 200, 250

Multiples of 692 - The first five multiples of 692 are 692, 1384, 2076, 2768, 3460

Multiples of 310 - The first five multiples of 310 are 310, 620, 930, 1240, 1550

Multiples of 344 - The first five multiples of 344 are 344, 688, 1032, 1376, 1720

Multiples of 631 - The first five multiples of 631 are 631, 1262, 1893, 2524, 3155