Math Tutor Explains: Multiples of 103

Multiples of 103 are numbers that can be evenly divided by 103 without leaving a remainder. A math tutor might explain it as the result of multiplying 103 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 103

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 103, you could just multiply 103 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 103, start at 103 and keep adding 103 over and over: 103, 206, 309, 412, and so on. Each of these numbers is a multiple of 103.

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 103?

Let’s find the first 10 multiples of 103 by multiplying:

1031=103103 * 1 = 103

1032=206103 * 2 = 206

1033=309103 * 3 = 309

1034=412103 * 4 = 412

1035=515103 * 5 = 515

1036=618103 * 6 = 618

1037=721103 * 7 = 721

1038=824103 * 8 = 824

1039=927103 * 9 = 927

10310=1030103 * 10 = 1030

So, the first 10 multiples of 103 are: 103, 206, 309, 412, 412, 618, 721, 824, 927 and 1030.

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 756 - The first five multiples of 756 are 756, 1512, 2268, 3024, 3780

Multiples of 283 - The first five multiples of 283 are 283, 566, 849, 1132, 1415

Multiples of 688 - The first five multiples of 688 are 688, 1376, 2064, 2752, 3440

Multiples of 251 - The first five multiples of 251 are 251, 502, 753, 1004, 1255

Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100

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