Math Tutor Explains: Multiples of 1267

Multiples of 1267 are numbers that can be evenly divided by 1267 without leaving a remainder. A math tutor might explain it as the result of multiplying 1267 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 1267

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 1267, you could just multiply 1267 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 1267, start at 1267 and keep adding 1267 over and over: 1267, 2534, 3801, 5068, and so on. Each of these numbers is a multiple of 1267.

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 1267?

Let’s find the first 10 multiples of 1267 by multiplying:

12671=12671267 * 1 = 1267

12672=25341267 * 2 = 2534

12673=38011267 * 3 = 3801

12674=50681267 * 4 = 5068

12675=63351267 * 5 = 6335

12676=76021267 * 6 = 7602

12677=88691267 * 7 = 8869

12678=101361267 * 8 = 10136

12679=114031267 * 9 = 11403

126710=126701267 * 10 = 12670

So, the first 10 multiples of 1267 are: 1267, 2534, 3801, 5068, 5068, 7602, 8869, 10136, 11403 and 12670.

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 813 - The first five multiples of 813 are 813, 1626, 2439, 3252, 4065

Multiples of 390 - The first five multiples of 390 are 390, 780, 1170, 1560, 1950

Multiples of 109 - The first five multiples of 109 are 109, 218, 327, 436, 545

Multiples of 218 - The first five multiples of 218 are 218, 436, 654, 872, 1090

Multiples of 749 - The first five multiples of 749 are 749, 1498, 2247, 2996, 3745

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