Math Tutor Explains: Multiples of 2067

Multiples of 2067 are numbers that can be evenly divided by 2067 without leaving a remainder. A math tutor might explain it as the result of multiplying 2067 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 2067

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 2067, you could just multiply 2067 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 2067, start at 2067 and keep adding 2067 over and over: 2067, 4134, 6201, 8268, and so on. Each of these numbers is a multiple of 2067.

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 2067?

Let’s find the first 10 multiples of 2067 by multiplying:

20671=20672067 * 1 = 2067

20672=41342067 * 2 = 4134

20673=62012067 * 3 = 6201

20674=82682067 * 4 = 8268

20675=103352067 * 5 = 10335

20676=124022067 * 6 = 12402

20677=144692067 * 7 = 14469

20678=165362067 * 8 = 16536

20679=186032067 * 9 = 18603

206710=206702067 * 10 = 20670

So, the first 10 multiples of 2067 are: 2067, 4134, 6201, 8268, 8268, 12402, 14469, 16536, 18603 and 20670.

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 58 - The first five multiples of 58 are 58, 116, 174, 232, 290

Multiples of 247 - The first five multiples of 247 are 247, 494, 741, 988, 1235

Multiples of 738 - The first five multiples of 738 are 738, 1476, 2214, 2952, 3690

Multiples of 829 - The first five multiples of 829 are 829, 1658, 2487, 3316, 4145

Multiples of 885 - The first five multiples of 885 are 885, 1770, 2655, 3540, 4425

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