Math Tutor Explains: Multiples of 3657

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 3657, you could start at 3657, and keep adding 3657 over and over: 3657, 7314, 10971, 14628, and so on. Each of these numbers is a multiple of 3657. 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 3657, you could just multiply 3657 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 3657? Let’s write it out using the multiplication method:

So, the first 10 multiples of 3657 are: 3657, 7314, 10971, 14628, 18285, 21942, 25599, 29256, 32913 and 36570.

There are an endless number of multiples of 3657. You could choose any number to multiply by 3657 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 689 - The first five multiples of 689 are 689, 1378, 2067, 2756, 3445

Multiples of 120 - The first five multiples of 120 are 120, 240, 360, 480, 600

Multiples of 839 - The first five multiples of 839 are 839, 1678, 2517, 3356, 4195

Multiples of 793 - The first five multiples of 793 are 793, 1586, 2379, 3172, 3965

Multiples of 921 - The first five multiples of 921 are 921, 1842, 2763, 3684, 4605