Math Tutor Explains: Multiples of 766

Multiples of 766 are numbers that can be evenly divided by 766 without leaving a remainder. A math tutor might explain it as the result of multiplying 766 by whole numbers. Another way to think about multiples is by comparing them to counting objects—for example, you can have one ball or six balls, but you can’t have three and a half balls.

Multiples of 766

Methods

Methods for Finding Multiples from a Math Tutor

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 766, you could just multiply 766 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 766, start at 766 and keep adding 766 over and over: 766, 1532, 2298, 3064, and so on. Each of these numbers is a multiple of 766.

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

What are the Multiples of 766?

Let’s find the first 10 multiples of 766 by multiplying:

7661=766766 * 1 = 766

7662=1532766 * 2 = 1532

7663=2298766 * 3 = 2298

7664=3064766 * 4 = 3064

7665=3830766 * 5 = 3830

7666=4596766 * 6 = 4596

7667=5362766 * 7 = 5362

7668=6128766 * 8 = 6128

7669=6894766 * 9 = 6894

76610=7660766 * 10 = 7660

So, the first 10 multiples of 766 are: 766, 1532, 2298, 3064, 3064, 4596, 5362, 6128, 6894 and 7660.

Interesting Facts about Multiples from a Math Tutor

• 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.

Math Tutor Tip: Try to Find The Multiples of Other 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 241 - The first five multiples of 241 are 241, 482, 723, 964, 1205

Multiples of 53 - The first five multiples of 53 are 53, 106, 159, 212, 265

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

Multiples of 125 - The first five multiples of 125 are 125, 250, 375, 500, 625

Multiples of 489 - The first five multiples of 489 are 489, 978, 1467, 1956, 2445

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