Math Tutor Explains: Multiples of 3693

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 3693, you could start at 3693, and keep adding 3693 over and over: 3693, 7386, 11079, 14772, and so on. Each of these numbers is a multiple of 3693. 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 3693, you could just multiply 3693 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 3693? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3693 are: 3693, 7386, 11079, 14772, 18465, 22158, 25851, 29544, 33237 and 36930.

There are an endless number of multiples of 3693. You could choose any number to multiply by 3693 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 216 - The first five multiples of 216 are 216, 432, 648, 864, 1080

Multiples of 632 - The first five multiples of 632 are 632, 1264, 1896, 2528, 3160

Multiples of 113 - The first five multiples of 113 are 113, 226, 339, 452, 565

Multiples of 236 - The first five multiples of 236 are 236, 472, 708, 944, 1180

Multiples of 587 - The first five multiples of 587 are 587, 1174, 1761, 2348, 2935