Math Tutor Explains: Multiples of 3412

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 3412, you could start at 3412, and keep adding 3412 over and over: 3412, 6824, 10236, 13648, and so on. Each of these numbers is a multiple of 3412. 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 3412, you could just multiply 3412 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 3412? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3412 are: 3412, 6824, 10236, 13648, 17060, 20472, 23884, 27296, 30708 and 34120.

There are an endless number of multiples of 3412. You could choose any number to multiply by 3412 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 480 - The first five multiples of 480 are 480, 960, 1440, 1920, 2400

Multiples of 600 - The first five multiples of 600 are 600, 1200, 1800, 2400, 3000

Multiples of 977 - The first five multiples of 977 are 977, 1954, 2931, 3908, 4885

Multiples of 104 - The first five multiples of 104 are 104, 208, 312, 416, 520

Multiples of 175 - The first five multiples of 175 are 175, 350, 525, 700, 875