Math Tutor Explains: Multiples of 314

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 314, you could just multiply 314 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 314, start at 314 and keep adding 314 over and over: 314, 628, 942, 1256, and so on. Each of these numbers is a multiple of 314.

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 314 by multiplying:

So, the first 10 multiples of 314 are: 314, 628, 942, 1256, 1256, 1884, 2198, 2512, 2826 and 3140.

• 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 761 - The first five multiples of 761 are 761, 1522, 2283, 3044, 3805

Multiples of 274 - The first five multiples of 274 are 274, 548, 822, 1096, 1370

Multiples of 82 - The first five multiples of 82 are 82, 164, 246, 328, 410

Multiples of 228 - The first five multiples of 228 are 228, 456, 684, 912, 1140

Multiples of 938 - The first five multiples of 938 are 938, 1876, 2814, 3752, 4690