Math Tutor Explains: Multiples of 4009

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 4009, you could start at 4009, and keep adding 4009 over and over: 4009, 8018, 12027, 16036, and so on. Each of these numbers is a multiple of 4009. 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 4009, you could just multiply 4009 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 4009? Let’s write it out using the multiplication method:

So, the first 10 multiples of 4009 are: 4009, 8018, 12027, 16036, 20045, 24054, 28063, 32072, 36081 and 40090.

There are an endless number of multiples of 4009. You could choose any number to multiply by 4009 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 770 - The first five multiples of 770 are 770, 1540, 2310, 3080, 3850

Multiples of 75 - The first five multiples of 75 are 75, 150, 225, 300, 375

Multiples of 560 - The first five multiples of 560 are 560, 1120, 1680, 2240, 2800

Multiples of 94 - The first five multiples of 94 are 94, 188, 282, 376, 470

Multiples of 336 - The first five multiples of 336 are 336, 672, 1008, 1344, 1680