Math Tutor Explains: Multiples of 4005

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 4005, you could start at 4005, and keep adding 4005 over and over: 4005, 8010, 12015, 16020, and so on. Each of these numbers is a multiple of 4005. 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 4005, you could just multiply 4005 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 4005? Let’s write it out using the multiplication method:

So, the first 10 multiples of 4005 are: 4005, 8010, 12015, 16020, 20025, 24030, 28035, 32040, 36045 and 40050.

There are an endless number of multiples of 4005. You could choose any number to multiply by 4005 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 602 - The first five multiples of 602 are 602, 1204, 1806, 2408, 3010

Multiples of 347 - The first five multiples of 347 are 347, 694, 1041, 1388, 1735

Multiples of 28 - The first five multiples of 28 are 28, 56, 84, 112, 140

Multiples of 224 - The first five multiples of 224 are 224, 448, 672, 896, 1120

Multiples of 688 - The first five multiples of 688 are 688, 1376, 2064, 2752, 3440