Math Tutor Explains: Multiples of 1305

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 1305, you could start at 1305, and keep adding 1305 over and over: 1305, 2610, 3915, 5220, and so on. Each of these numbers is a multiple of 1305. 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 1305, you could just multiply 1305 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 1305? Let’s write it out using the multiplication method:

So, the first 10 multiples of 1305 are: 1305, 2610, 3915, 5220, 6525, 7830, 9135, 10440, 11745 and 13050.

There are an endless number of multiples of 1305. You could choose any number to multiply by 1305 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 332 - The first five multiples of 332 are 332, 664, 996, 1328, 1660

Multiples of 111 - The first five multiples of 111 are 111, 222, 333, 444, 555

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

Multiples of 141 - The first five multiples of 141 are 141, 282, 423, 564, 705

Multiples of 307 - The first five multiples of 307 are 307, 614, 921, 1228, 1535