Math Tutor Explains: Multiples of 4123

Multiples of 4123 are numbers that can be evenly divided by 4123 without leaving a remainder. A math tutor might explain it as the result of multiplying 4123 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 4123

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 4123, you could just multiply 4123 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 4123, start at 4123 and keep adding 4123 over and over: 4123, 8246, 12369, 16492, and so on. Each of these numbers is a multiple of 4123.

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 4123?

Let’s find the first 10 multiples of 4123 by multiplying:

41231=41234123 * 1 = 4123

41232=82464123 * 2 = 8246

41233=123694123 * 3 = 12369

41234=164924123 * 4 = 16492

41235=206154123 * 5 = 20615

41236=247384123 * 6 = 24738

41237=288614123 * 7 = 28861

41238=329844123 * 8 = 32984

41239=371074123 * 9 = 37107

412310=412304123 * 10 = 41230

So, the first 10 multiples of 4123 are: 4123, 8246, 12369, 16492, 16492, 24738, 28861, 32984, 37107 and 41230.

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 805 - The first five multiples of 805 are 805, 1610, 2415, 3220, 4025

Multiples of 156 - The first five multiples of 156 are 156, 312, 468, 624, 780

Multiples of 386 - The first five multiples of 386 are 386, 772, 1158, 1544, 1930

Multiples of 918 - The first five multiples of 918 are 918, 1836, 2754, 3672, 4590

Multiples of 456 - The first five multiples of 456 are 456, 912, 1368, 1824, 2280

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