Math Tutor Explains: Multiples of 683

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 683, you could just multiply 683 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 683, start at 683 and keep adding 683 over and over: 683, 1366, 2049, 2732, and so on. Each of these numbers is a multiple of 683.

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 683 by multiplying:

So, the first 10 multiples of 683 are: 683, 1366, 2049, 2732, 2732, 4098, 4781, 5464, 6147 and 6830.

• 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 666 - The first five multiples of 666 are 666, 1332, 1998, 2664, 3330

Multiples of 482 - The first five multiples of 482 are 482, 964, 1446, 1928, 2410

Multiples of 32 - The first five multiples of 32 are 32, 64, 96, 128, 160

Multiples of 840 - The first five multiples of 840 are 840, 1680, 2520, 3360, 4200

Multiples of 93 - The first five multiples of 93 are 93, 186, 279, 372, 465