Math Tutor Explains: Multiples of 1069

Multiples of 1069 are numbers that can be evenly divided by 1069 without leaving a remainder. A math tutor might explain it as the result of multiplying 1069 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 1069

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 1069, you could just multiply 1069 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 1069, start at 1069 and keep adding 1069 over and over: 1069, 2138, 3207, 4276, and so on. Each of these numbers is a multiple of 1069.

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 1069?

Let’s find the first 10 multiples of 1069 by multiplying:

10691=10691069 * 1 = 1069

10692=21381069 * 2 = 2138

10693=32071069 * 3 = 3207

10694=42761069 * 4 = 4276

10695=53451069 * 5 = 5345

10696=64141069 * 6 = 6414

10697=74831069 * 7 = 7483

10698=85521069 * 8 = 8552

10699=96211069 * 9 = 9621

106910=106901069 * 10 = 10690

So, the first 10 multiples of 1069 are: 1069, 2138, 3207, 4276, 4276, 6414, 7483, 8552, 9621 and 10690.

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 107 - The first five multiples of 107 are 107, 214, 321, 428, 535

Multiples of 598 - The first five multiples of 598 are 598, 1196, 1794, 2392, 2990

Multiples of 988 - The first five multiples of 988 are 988, 1976, 2964, 3952, 4940

Multiples of 140 - The first five multiples of 140 are 140, 280, 420, 560, 700

Multiples of 559 - The first five multiples of 559 are 559, 1118, 1677, 2236, 2795

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