Math Tutor Explains: Multiples of 4016

Multiples of 4016 are numbers that can be evenly divided by 4016 without leaving a remainder. A math tutor might explain it as the result of multiplying 4016 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 4016

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 4016, you could just multiply 4016 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 4016, start at 4016 and keep adding 4016 over and over: 4016, 8032, 12048, 16064, and so on. Each of these numbers is a multiple of 4016.

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 4016?

Let’s find the first 10 multiples of 4016 by multiplying:

40161=40164016 * 1 = 4016

40162=80324016 * 2 = 8032

40163=120484016 * 3 = 12048

40164=160644016 * 4 = 16064

40165=200804016 * 5 = 20080

40166=240964016 * 6 = 24096

40167=281124016 * 7 = 28112

40168=321284016 * 8 = 32128

40169=361444016 * 9 = 36144

401610=401604016 * 10 = 40160

So, the first 10 multiples of 4016 are: 4016, 8032, 12048, 16064, 16064, 24096, 28112, 32128, 36144 and 40160.

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 312 - The first five multiples of 312 are 312, 624, 936, 1248, 1560

Multiples of 864 - The first five multiples of 864 are 864, 1728, 2592, 3456, 4320

Multiples of 49 - The first five multiples of 49 are 49, 98, 147, 196, 245

Multiples of 443 - The first five multiples of 443 are 443, 886, 1329, 1772, 2215

Multiples of 925 - The first five multiples of 925 are 925, 1850, 2775, 3700, 4625

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