Math Tutor Explains: Multiples of 1749

Multiples of 1749 are numbers that can be evenly divided by 1749 without leaving a remainder. A math tutor might explain it as the result of multiplying 1749 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 1749

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 1749, you could just multiply 1749 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 1749, start at 1749 and keep adding 1749 over and over: 1749, 3498, 5247, 6996, and so on. Each of these numbers is a multiple of 1749.

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 1749?

Let’s find the first 10 multiples of 1749 by multiplying:

17491=17491749 * 1 = 1749

17492=34981749 * 2 = 3498

17493=52471749 * 3 = 5247

17494=69961749 * 4 = 6996

17495=87451749 * 5 = 8745

17496=104941749 * 6 = 10494

17497=122431749 * 7 = 12243

17498=139921749 * 8 = 13992

17499=157411749 * 9 = 15741

174910=174901749 * 10 = 17490

So, the first 10 multiples of 1749 are: 1749, 3498, 5247, 6996, 6996, 10494, 12243, 13992, 15741 and 17490.

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 243 - The first five multiples of 243 are 243, 486, 729, 972, 1215

Multiples of 608 - The first five multiples of 608 are 608, 1216, 1824, 2432, 3040

Multiples of 494 - The first five multiples of 494 are 494, 988, 1482, 1976, 2470

Multiples of 433 - The first five multiples of 433 are 433, 866, 1299, 1732, 2165

Multiples of 106 - The first five multiples of 106 are 106, 212, 318, 424, 530

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