Math Tutor Explains: Multiples of 3172

Multiples of 3172 are numbers that can be evenly divided by 3172 without leaving a remainder. A math tutor might explain it as the result of multiplying 3172 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 3172

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 3172, you could just multiply 3172 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 3172, start at 3172 and keep adding 3172 over and over: 3172, 6344, 9516, 12688, and so on. Each of these numbers is a multiple of 3172.

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 3172?

Let’s find the first 10 multiples of 3172 by multiplying:

31721=31723172 * 1 = 3172

31722=63443172 * 2 = 6344

31723=95163172 * 3 = 9516

31724=126883172 * 4 = 12688

31725=158603172 * 5 = 15860

31726=190323172 * 6 = 19032

31727=222043172 * 7 = 22204

31728=253763172 * 8 = 25376

31729=285483172 * 9 = 28548

317210=317203172 * 10 = 31720

So, the first 10 multiples of 3172 are: 3172, 6344, 9516, 12688, 12688, 19032, 22204, 25376, 28548 and 31720.

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 932 - The first five multiples of 932 are 932, 1864, 2796, 3728, 4660

Multiples of 688 - The first five multiples of 688 are 688, 1376, 2064, 2752, 3440

Multiples of 770 - The first five multiples of 770 are 770, 1540, 2310, 3080, 3850

Multiples of 563 - The first five multiples of 563 are 563, 1126, 1689, 2252, 2815

Multiples of 505 - The first five multiples of 505 are 505, 1010, 1515, 2020, 2525

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