Math Tutor Explains: Multiples of 1767

Multiples of 1767 are numbers that can be evenly divided by 1767 without leaving a remainder. A math tutor might explain it as the result of multiplying 1767 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 1767

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 1767, you could just multiply 1767 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 1767, start at 1767 and keep adding 1767 over and over: 1767, 3534, 5301, 7068, and so on. Each of these numbers is a multiple of 1767.

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 1767?

Let’s find the first 10 multiples of 1767 by multiplying:

17671=17671767 * 1 = 1767

17672=35341767 * 2 = 3534

17673=53011767 * 3 = 5301

17674=70681767 * 4 = 7068

17675=88351767 * 5 = 8835

17676=106021767 * 6 = 10602

17677=123691767 * 7 = 12369

17678=141361767 * 8 = 14136

17679=159031767 * 9 = 15903

176710=176701767 * 10 = 17670

So, the first 10 multiples of 1767 are: 1767, 3534, 5301, 7068, 7068, 10602, 12369, 14136, 15903 and 17670.

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 515 - The first five multiples of 515 are 515, 1030, 1545, 2060, 2575

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

Multiples of 759 - The first five multiples of 759 are 759, 1518, 2277, 3036, 3795

Multiples of 461 - The first five multiples of 461 are 461, 922, 1383, 1844, 2305

Multiples of 543 - The first five multiples of 543 are 543, 1086, 1629, 2172, 2715

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