Math Tutor Explains: Multiples of 2504

Multiples of 2504 are numbers that can be evenly divided by 2504 without leaving a remainder. A math tutor might explain it as the result of multiplying 2504 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 2504

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 2504, you could just multiply 2504 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 2504, start at 2504 and keep adding 2504 over and over: 2504, 5008, 7512, 10016, and so on. Each of these numbers is a multiple of 2504.

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 2504?

Let’s find the first 10 multiples of 2504 by multiplying:

25041=25042504 * 1 = 2504

25042=50082504 * 2 = 5008

25043=75122504 * 3 = 7512

25044=100162504 * 4 = 10016

25045=125202504 * 5 = 12520

25046=150242504 * 6 = 15024

25047=175282504 * 7 = 17528

25048=200322504 * 8 = 20032

25049=225362504 * 9 = 22536

250410=250402504 * 10 = 25040

So, the first 10 multiples of 2504 are: 2504, 5008, 7512, 10016, 10016, 15024, 17528, 20032, 22536 and 25040.

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 844 - The first five multiples of 844 are 844, 1688, 2532, 3376, 4220

Multiples of 135 - The first five multiples of 135 are 135, 270, 405, 540, 675

Multiples of 26 - The first five multiples of 26 are 26, 52, 78, 104, 130

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

Multiples of 994 - The first five multiples of 994 are 994, 1988, 2982, 3976, 4970

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