Math Tutor Explains: Multiples of 3612

Multiples of 3612 are numbers that can be evenly divided by 3612 without leaving a remainder. A math tutor might explain it as the result of multiplying 3612 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 3612

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 3612, you could just multiply 3612 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 3612, start at 3612 and keep adding 3612 over and over: 3612, 7224, 10836, 14448, and so on. Each of these numbers is a multiple of 3612.

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 3612?

Let’s find the first 10 multiples of 3612 by multiplying:

36121=36123612 * 1 = 3612

36122=72243612 * 2 = 7224

36123=108363612 * 3 = 10836

36124=144483612 * 4 = 14448

36125=180603612 * 5 = 18060

36126=216723612 * 6 = 21672

36127=252843612 * 7 = 25284

36128=288963612 * 8 = 28896

36129=325083612 * 9 = 32508

361210=361203612 * 10 = 36120

So, the first 10 multiples of 3612 are: 3612, 7224, 10836, 14448, 14448, 21672, 25284, 28896, 32508 and 36120.

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 937 - The first five multiples of 937 are 937, 1874, 2811, 3748, 4685

Multiples of 103 - The first five multiples of 103 are 103, 206, 309, 412, 515

Multiples of 732 - The first five multiples of 732 are 732, 1464, 2196, 2928, 3660

Multiples of 250 - The first five multiples of 250 are 250, 500, 750, 1000, 1250

Multiples of 34 - The first five multiples of 34 are 34, 68, 102, 136, 170

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