Math Tutor Explains: Multiples of 306

The most common way to find multiples shared by a math tutor is to use multiplication. Multiplication of whole numbers always results in multiples of the numbers being multiplied. To find the first few multiples of 306, you could just multiply 306 by 1, then 2, then 3, and so on, until you have as many multiples as you would like. This is shown in the next section.

For younger students that don’t know how to multiply yet, the same result can be found just by counting, or skip-counting. To find multiples of any number, just add the number to itself multiple times. For instance, if you want to find the multiples of 306, start at 306 and keep adding 306 over and over: 306, 612, 918, 1224, and so on. Each of these numbers is a multiple of 306.

There are an endless number of multiples! You can keep using either of these methods to find as many multiples as you would like.

Let’s find the first 10 multiples of 306 by multiplying:

So, the first 10 multiples of 306 are: 306, 612, 918, 1224, 1224, 1836, 2142, 2448, 2754 and 3060.

• The primary multiple of any number is itself.

• The result of any multiplication of whole numbers is a multiple of all the numbers being multiplied together. As such, every multiple is also a multiple of another number.

• Every multiple of even numbers will also be even.

• The successive multiples of odd numbers alternate between odd and even numbers.

• You can also find 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 226 - The first five multiples of 226 are 226, 452, 678, 904, 1130

Multiples of 79 - The first five multiples of 79 are 79, 158, 237, 316, 395

Multiples of 511 - The first five multiples of 511 are 511, 1022, 1533, 2044, 2555

Multiples of 278 - The first five multiples of 278 are 278, 556, 834, 1112, 1390

Multiples of 487 - The first five multiples of 487 are 487, 974, 1461, 1948, 2435