Math Tutor Explains: Multiples of 305

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 305, you could start at 305, and keep adding 305 over and over: 305, 610, 915, 1220, and so on. Each of these numbers is a multiple of 305. 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 305, you could just multiply 305 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 305? Let’s write it out using the multiplication method:

So, the first 10 multiples of 305 are: 305, 610, 915, 1220, 1525, 1830, 2135, 2440, 2745 and 3050.

There are an endless number of multiples of 305. You could choose any number to multiply by 305 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 648 - The first five multiples of 648 are 648, 1296, 1944, 2592, 3240

Multiples of 166 - The first five multiples of 166 are 166, 332, 498, 664, 830

Multiples of 226 - The first five multiples of 226 are 226, 452, 678, 904, 1130

Multiples of 863 - The first five multiples of 863 are 863, 1726, 2589, 3452, 4315

Multiples of 832 - The first five multiples of 832 are 832, 1664, 2496, 3328, 4160