Math Tutor Explains: Multiples of 3012

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 3012, you could start at 3012, and keep adding 3012 over and over: 3012, 6024, 9036, 12048, and so on. Each of these numbers is a multiple of 3012. 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 3012, you could just multiply 3012 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 3012? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3012 are: 3012, 6024, 9036, 12048, 15060, 18072, 21084, 24096, 27108 and 30120.

There are an endless number of multiples of 3012. You could choose any number to multiply by 3012 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 921 - The first five multiples of 921 are 921, 1842, 2763, 3684, 4605

Multiples of 407 - The first five multiples of 407 are 407, 814, 1221, 1628, 2035

Multiples of 578 - The first five multiples of 578 are 578, 1156, 1734, 2312, 2890

Multiples of 601 - The first five multiples of 601 are 601, 1202, 1803, 2404, 3005

Multiples of 696 - The first five multiples of 696 are 696, 1392, 2088, 2784, 3480