Math Tutor Explains: Multiples of 513

Multiples of 513 are numbers that can be evenly divided by 513 without leaving a remainder. A math tutor might explain it as the result of multiplying 513 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 513

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 513, you could just multiply 513 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 513, start at 513 and keep adding 513 over and over: 513, 1026, 1539, 2052, and so on. Each of these numbers is a multiple of 513.

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 513?

Let’s find the first 10 multiples of 513 by multiplying:

5131=513513 * 1 = 513

5132=1026513 * 2 = 1026

5133=1539513 * 3 = 1539

5134=2052513 * 4 = 2052

5135=2565513 * 5 = 2565

5136=3078513 * 6 = 3078

5137=3591513 * 7 = 3591

5138=4104513 * 8 = 4104

5139=4617513 * 9 = 4617

51310=5130513 * 10 = 5130

So, the first 10 multiples of 513 are: 513, 1026, 1539, 2052, 2052, 3078, 3591, 4104, 4617 and 5130.

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 239 - The first five multiples of 239 are 239, 478, 717, 956, 1195

Multiples of 937 - The first five multiples of 937 are 937, 1874, 2811, 3748, 4685

Multiples of 110 - The first five multiples of 110 are 110, 220, 330, 440, 550

Multiples of 718 - The first five multiples of 718 are 718, 1436, 2154, 2872, 3590

Multiples of 489 - The first five multiples of 489 are 489, 978, 1467, 1956, 2445

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