Math Tutor Explains: Multiples of 1642

Multiples of 1642 are numbers that can be evenly divided by 1642 without leaving a remainder. A math tutor might explain it as the result of multiplying 1642 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 1642

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 1642, you could just multiply 1642 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 1642, start at 1642 and keep adding 1642 over and over: 1642, 3284, 4926, 6568, and so on. Each of these numbers is a multiple of 1642.

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 1642?

Let’s find the first 10 multiples of 1642 by multiplying:

16421=16421642 * 1 = 1642

16422=32841642 * 2 = 3284

16423=49261642 * 3 = 4926

16424=65681642 * 4 = 6568

16425=82101642 * 5 = 8210

16426=98521642 * 6 = 9852

16427=114941642 * 7 = 11494

16428=131361642 * 8 = 13136

16429=147781642 * 9 = 14778

164210=164201642 * 10 = 16420

So, the first 10 multiples of 1642 are: 1642, 3284, 4926, 6568, 6568, 9852, 11494, 13136, 14778 and 16420.

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 493 - The first five multiples of 493 are 493, 986, 1479, 1972, 2465

Multiples of 360 - The first five multiples of 360 are 360, 720, 1080, 1440, 1800

Multiples of 478 - The first five multiples of 478 are 478, 956, 1434, 1912, 2390

Multiples of 412 - The first five multiples of 412 are 412, 824, 1236, 1648, 2060

Multiples of 401 - The first five multiples of 401 are 401, 802, 1203, 1604, 2005

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