Math Tutor Explains: Multiples of 2074

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 2074, you could start at 2074, and keep adding 2074 over and over: 2074, 4148, 6222, 8296, and so on. Each of these numbers is a multiple of 2074. 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 2074, you could just multiply 2074 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 2074? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2074 are: 2074, 4148, 6222, 8296, 10370, 12444, 14518, 16592, 18666 and 20740.

There are an endless number of multiples of 2074. You could choose any number to multiply by 2074 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 568 - The first five multiples of 568 are 568, 1136, 1704, 2272, 2840

Multiples of 91 - The first five multiples of 91 are 91, 182, 273, 364, 455

Multiples of 278 - The first five multiples of 278 are 278, 556, 834, 1112, 1390

Multiples of 754 - The first five multiples of 754 are 754, 1508, 2262, 3016, 3770

Multiples of 698 - The first five multiples of 698 are 698, 1396, 2094, 2792, 3490