Math Tutor Explains: Multiples of 1837

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 1837, you could start at 1837, and keep adding 1837 over and over: 1837, 3674, 5511, 7348, and so on. Each of these numbers is a multiple of 1837. 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 1837, you could just multiply 1837 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 1837? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1837 are: 1837, 3674, 5511, 7348, 9185, 11022, 12859, 14696, 16533 and 18370.

There are an endless number of multiples of 1837. You could choose any number to multiply by 1837 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 338 - The first five multiples of 338 are 338, 676, 1014, 1352, 1690

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

Multiples of 52 - The first five multiples of 52 are 52, 104, 156, 208, 260

Multiples of 63 - The first five multiples of 63 are 63, 126, 189, 252, 315

Multiples of 223 - The first five multiples of 223 are 223, 446, 669, 892, 1115