Math Tutor Explains: Multiples of 2982

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 2982, you could start at 2982, and keep adding 2982 over and over: 2982, 5964, 8946, 11928, and so on. Each of these numbers is a multiple of 2982. 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 2982, you could just multiply 2982 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 2982? Let’s write it out using the multiplication method:

So, the first 10 multiples of 2982 are: 2982, 5964, 8946, 11928, 14910, 17892, 20874, 23856, 26838 and 29820.

There are an endless number of multiples of 2982. You could choose any number to multiply by 2982 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 530 - The first five multiples of 530 are 530, 1060, 1590, 2120, 2650

Multiples of 357 - The first five multiples of 357 are 357, 714, 1071, 1428, 1785

Multiples of 498 - The first five multiples of 498 are 498, 996, 1494, 1992, 2490

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

Multiples of 874 - The first five multiples of 874 are 874, 1748, 2622, 3496, 4370