Math Tutor Explains: Multiples of 3222

Multiples of 3222 are numbers that can be evenly divided by 3222 without leaving a remainder. A math tutor might explain it as the result of multiplying 3222 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 3222

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 3222, you could just multiply 3222 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 3222, start at 3222 and keep adding 3222 over and over: 3222, 6444, 9666, 12888, and so on. Each of these numbers is a multiple of 3222.

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 3222?

Let’s find the first 10 multiples of 3222 by multiplying:

32221=32223222 * 1 = 3222

32222=64443222 * 2 = 6444

32223=96663222 * 3 = 9666

32224=128883222 * 4 = 12888

32225=161103222 * 5 = 16110

32226=193323222 * 6 = 19332

32227=225543222 * 7 = 22554

32228=257763222 * 8 = 25776

32229=289983222 * 9 = 28998

322210=322203222 * 10 = 32220

So, the first 10 multiples of 3222 are: 3222, 6444, 9666, 12888, 12888, 19332, 22554, 25776, 28998 and 32220.

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 147 - The first five multiples of 147 are 147, 294, 441, 588, 735

Multiples of 352 - The first five multiples of 352 are 352, 704, 1056, 1408, 1760

Multiples of 62 - The first five multiples of 62 are 62, 124, 186, 248, 310

Multiples of 507 - The first five multiples of 507 are 507, 1014, 1521, 2028, 2535

Multiples of 847 - The first five multiples of 847 are 847, 1694, 2541, 3388, 4235

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