Math Tutor Explains: Multiples of 1729

Multiples of 1729 are numbers that can be evenly divided by 1729 without leaving a remainder. A math tutor might explain it as the result of multiplying 1729 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 1729

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 1729, you could just multiply 1729 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 1729, start at 1729 and keep adding 1729 over and over: 1729, 3458, 5187, 6916, and so on. Each of these numbers is a multiple of 1729.

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 1729?

Let’s find the first 10 multiples of 1729 by multiplying:

17291=17291729 * 1 = 1729

17292=34581729 * 2 = 3458

17293=51871729 * 3 = 5187

17294=69161729 * 4 = 6916

17295=86451729 * 5 = 8645

17296=103741729 * 6 = 10374

17297=121031729 * 7 = 12103

17298=138321729 * 8 = 13832

17299=155611729 * 9 = 15561

172910=172901729 * 10 = 17290

So, the first 10 multiples of 1729 are: 1729, 3458, 5187, 6916, 6916, 10374, 12103, 13832, 15561 and 17290.

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 519 - The first five multiples of 519 are 519, 1038, 1557, 2076, 2595

Multiples of 799 - The first five multiples of 799 are 799, 1598, 2397, 3196, 3995

Multiples of 743 - The first five multiples of 743 are 743, 1486, 2229, 2972, 3715

Multiples of 830 - The first five multiples of 830 are 830, 1660, 2490, 3320, 4150

Multiples of 396 - The first five multiples of 396 are 396, 792, 1188, 1584, 1980

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