Math Tutor Explains: Multiples of 167

Multiples of 167 are numbers that can be evenly divided by 167 without leaving a remainder. A math tutor might explain it as the result of multiplying 167 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 167

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 167, you could just multiply 167 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 167, start at 167 and keep adding 167 over and over: 167, 334, 501, 668, and so on. Each of these numbers is a multiple of 167.

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 167?

Let’s find the first 10 multiples of 167 by multiplying:

1671=167167 * 1 = 167

1672=334167 * 2 = 334

1673=501167 * 3 = 501

1674=668167 * 4 = 668

1675=835167 * 5 = 835

1676=1002167 * 6 = 1002

1677=1169167 * 7 = 1169

1678=1336167 * 8 = 1336

1679=1503167 * 9 = 1503

16710=1670167 * 10 = 1670

So, the first 10 multiples of 167 are: 167, 334, 501, 668, 668, 1002, 1169, 1336, 1503 and 1670.

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 914 - The first five multiples of 914 are 914, 1828, 2742, 3656, 4570

Multiples of 407 - The first five multiples of 407 are 407, 814, 1221, 1628, 2035

Multiples of 676 - The first five multiples of 676 are 676, 1352, 2028, 2704, 3380

Multiples of 343 - The first five multiples of 343 are 343, 686, 1029, 1372, 1715

Multiples of 491 - The first five multiples of 491 are 491, 982, 1473, 1964, 2455

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