Math Tutor Explains: Multiples of 1747

Multiples of 1747 are numbers that can be evenly divided by 1747 without leaving a remainder. A math tutor might explain it as the result of multiplying 1747 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 1747

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 1747, you could just multiply 1747 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 1747, start at 1747 and keep adding 1747 over and over: 1747, 3494, 5241, 6988, and so on. Each of these numbers is a multiple of 1747.

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 1747?

Let’s find the first 10 multiples of 1747 by multiplying:

17471=17471747 * 1 = 1747

17472=34941747 * 2 = 3494

17473=52411747 * 3 = 5241

17474=69881747 * 4 = 6988

17475=87351747 * 5 = 8735

17476=104821747 * 6 = 10482

17477=122291747 * 7 = 12229

17478=139761747 * 8 = 13976

17479=157231747 * 9 = 15723

174710=174701747 * 10 = 17470

So, the first 10 multiples of 1747 are: 1747, 3494, 5241, 6988, 6988, 10482, 12229, 13976, 15723 and 17470.

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 453 - The first five multiples of 453 are 453, 906, 1359, 1812, 2265

Multiples of 170 - The first five multiples of 170 are 170, 340, 510, 680, 850

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

Multiples of 546 - The first five multiples of 546 are 546, 1092, 1638, 2184, 2730

Multiples of 308 - The first five multiples of 308 are 308, 616, 924, 1232, 1540

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