Math Tutor Explains: Multiples of 4095

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 4095, you could start at 4095, and keep adding 4095 over and over: 4095, 8190, 12285, 16380, and so on. Each of these numbers is a multiple of 4095. 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 4095, you could just multiply 4095 by each number in sequence, first multiplying by 1, then 2, then 3, and so on, which we will outline below.

So, what are the multiples of 4095? Let’s write it out using the multiplication method:

So, the first 10 multiples of 4095 are: 4095, 8190, 12285, 16380, 20475, 24570, 28665, 32760, 36855 and 40950.

There are an endless number of multiples of 4095. You could choose any number to multiply by 4095 to find a new multiple!

• 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.

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 533 - The first five multiples of 533 are 533, 1066, 1599, 2132, 2665

Multiples of 95 - The first five multiples of 95 are 95, 190, 285, 380, 475

Multiples of 249 - The first five multiples of 249 are 249, 498, 747, 996, 1245

Multiples of 804 - The first five multiples of 804 are 804, 1608, 2412, 3216, 4020

Multiples of 824 - The first five multiples of 824 are 824, 1648, 2472, 3296, 4120