Math Tutor Explains: Multiples of 78

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 78, you could just multiply 78 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 78, start at 78 and keep adding 78 over and over: 78, 156, 234, 312, and so on. Each of these numbers is a multiple of 78.

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 78 by multiplying:

So, the first 10 multiples of 78 are: 78, 156, 234, 312, 312, 468, 546, 624, 702 and 780.

• 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 264 - The first five multiples of 264 are 264, 528, 792, 1056, 1320

Multiples of 483 - The first five multiples of 483 are 483, 966, 1449, 1932, 2415

Multiples of 436 - The first five multiples of 436 are 436, 872, 1308, 1744, 2180

Multiples of 916 - The first five multiples of 916 are 916, 1832, 2748, 3664, 4580

Multiples of 663 - The first five multiples of 663 are 663, 1326, 1989, 2652, 3315