Math Tutor Explains: Multiples of 1229

Multiples of 1229 are numbers that can be evenly divided by 1229 without leaving a remainder. A math tutor might explain it as the result of multiplying 1229 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 1229

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 1229, you could just multiply 1229 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 1229, start at 1229 and keep adding 1229 over and over: 1229, 2458, 3687, 4916, and so on. Each of these numbers is a multiple of 1229.

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 1229?

Let’s find the first 10 multiples of 1229 by multiplying:

12291=12291229 * 1 = 1229

12292=24581229 * 2 = 2458

12293=36871229 * 3 = 3687

12294=49161229 * 4 = 4916

12295=61451229 * 5 = 6145

12296=73741229 * 6 = 7374

12297=86031229 * 7 = 8603

12298=98321229 * 8 = 9832

12299=110611229 * 9 = 11061

122910=122901229 * 10 = 12290

So, the first 10 multiples of 1229 are: 1229, 2458, 3687, 4916, 4916, 7374, 8603, 9832, 11061 and 12290.

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 21 - The first five multiples of 21 are 21, 42, 63, 84, 105

Multiples of 896 - The first five multiples of 896 are 896, 1792, 2688, 3584, 4480

Multiples of 513 - The first five multiples of 513 are 513, 1026, 1539, 2052, 2565

Multiples of 797 - The first five multiples of 797 are 797, 1594, 2391, 3188, 3985

Multiples of 720 - The first five multiples of 720 are 720, 1440, 2160, 2880, 3600

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