Math Tutor Explains: Multiples of 3972

Multiples of 3972 are numbers that can be evenly divided by 3972 without leaving a remainder. A math tutor might explain it as the result of multiplying 3972 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 3972

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 3972, you could just multiply 3972 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 3972, start at 3972 and keep adding 3972 over and over: 3972, 7944, 11916, 15888, and so on. Each of these numbers is a multiple of 3972.

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 3972?

Let’s find the first 10 multiples of 3972 by multiplying:

39721=39723972 * 1 = 3972

39722=79443972 * 2 = 7944

39723=119163972 * 3 = 11916

39724=158883972 * 4 = 15888

39725=198603972 * 5 = 19860

39726=238323972 * 6 = 23832

39727=278043972 * 7 = 27804

39728=317763972 * 8 = 31776

39729=357483972 * 9 = 35748

397210=397203972 * 10 = 39720

So, the first 10 multiples of 3972 are: 3972, 7944, 11916, 15888, 15888, 23832, 27804, 31776, 35748 and 39720.

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 253 - The first five multiples of 253 are 253, 506, 759, 1012, 1265

Multiples of 199 - The first five multiples of 199 are 199, 398, 597, 796, 995

Multiples of 596 - The first five multiples of 596 are 596, 1192, 1788, 2384, 2980

Multiples of 863 - The first five multiples of 863 are 863, 1726, 2589, 3452, 4315

Multiples of 442 - The first five multiples of 442 are 442, 884, 1326, 1768, 2210

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