Math Tutor Explains: Multiples of 4975

Multiples of 4975 are numbers that can be evenly divided by 4975 without leaving a remainder. A math tutor might explain it as the result of multiplying 4975 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 4975

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 4975, you could just multiply 4975 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 4975, start at 4975 and keep adding 4975 over and over: 4975, 9950, 14925, 19900, and so on. Each of these numbers is a multiple of 4975.

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 4975?

Let’s find the first 10 multiples of 4975 by multiplying:

49751=49754975 * 1 = 4975

49752=99504975 * 2 = 9950

49753=149254975 * 3 = 14925

49754=199004975 * 4 = 19900

49755=248754975 * 5 = 24875

49756=298504975 * 6 = 29850

49757=348254975 * 7 = 34825

49758=398004975 * 8 = 39800

49759=447754975 * 9 = 44775

497510=497504975 * 10 = 49750

So, the first 10 multiples of 4975 are: 4975, 9950, 14925, 19900, 19900, 29850, 34825, 39800, 44775 and 49750.

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 787 - The first five multiples of 787 are 787, 1574, 2361, 3148, 3935

Multiples of 556 - The first five multiples of 556 are 556, 1112, 1668, 2224, 2780

Multiples of 709 - The first five multiples of 709 are 709, 1418, 2127, 2836, 3545

Multiples of 476 - The first five multiples of 476 are 476, 952, 1428, 1904, 2380

Multiples of 214 - The first five multiples of 214 are 214, 428, 642, 856, 1070

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