Math Tutor Explains: Multiples of 3654

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 3654, you could start at 3654, and keep adding 3654 over and over: 3654, 7308, 10962, 14616, and so on. Each of these numbers is a multiple of 3654. 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 3654, you could just multiply 3654 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 3654? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3654 are: 3654, 7308, 10962, 14616, 18270, 21924, 25578, 29232, 32886 and 36540.

There are an endless number of multiples of 3654. You could choose any number to multiply by 3654 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 237 - The first five multiples of 237 are 237, 474, 711, 948, 1185

Multiples of 618 - The first five multiples of 618 are 618, 1236, 1854, 2472, 3090

Multiples of 678 - The first five multiples of 678 are 678, 1356, 2034, 2712, 3390

Multiples of 613 - The first five multiples of 613 are 613, 1226, 1839, 2452, 3065

Multiples of 788 - The first five multiples of 788 are 788, 1576, 2364, 3152, 3940