Math Tutor Explains: Multiples of 365

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 365, you could start at 365, and keep adding 365 over and over: 365, 730, 1095, 1460, and so on. Each of these numbers is a multiple of 365. 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 365, you could just multiply 365 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 365? Let’s write it out using the multiplication method:

So, the first 10 multiples of 365 are: 365, 730, 1095, 1460, 1825, 2190, 2555, 2920, 3285 and 3650.

There are an endless number of multiples of 365. You could choose any number to multiply by 365 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 114 - The first five multiples of 114 are 114, 228, 342, 456, 570

Multiples of 725 - The first five multiples of 725 are 725, 1450, 2175, 2900, 3625

Multiples of 379 - The first five multiples of 379 are 379, 758, 1137, 1516, 1895

Multiples of 596 - The first five multiples of 596 are 596, 1192, 1788, 2384, 2980

Multiples of 449 - The first five multiples of 449 are 449, 898, 1347, 1796, 2245