Math Tutor Explains: Multiples of 1563

Multiples of 1563 are numbers that can be evenly divided by 1563 without leaving a remainder. A math tutor might explain it as the result of multiplying 1563 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 1563

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 1563, you could just multiply 1563 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 1563, start at 1563 and keep adding 1563 over and over: 1563, 3126, 4689, 6252, and so on. Each of these numbers is a multiple of 1563.

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 1563?

Let’s find the first 10 multiples of 1563 by multiplying:

15631=15631563 * 1 = 1563

15632=31261563 * 2 = 3126

15633=46891563 * 3 = 4689

15634=62521563 * 4 = 6252

15635=78151563 * 5 = 7815

15636=93781563 * 6 = 9378

15637=109411563 * 7 = 10941

15638=125041563 * 8 = 12504

15639=140671563 * 9 = 14067

156310=156301563 * 10 = 15630

So, the first 10 multiples of 1563 are: 1563, 3126, 4689, 6252, 6252, 9378, 10941, 12504, 14067 and 15630.

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

Multiples of 122 - The first five multiples of 122 are 122, 244, 366, 488, 610

Multiples of 1000 - The first five multiples of 1000 are 1000, 2000, 3000, 4000, 5000

Multiples of 827 - The first five multiples of 827 are 827, 1654, 2481, 3308, 4135

Multiples of 984 - The first five multiples of 984 are 984, 1968, 2952, 3936, 4920

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