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Last updated on December 24th, 2024

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Factors Of 163

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Foundation
Intermediate
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A number that can divide another number evenly without leaving any remainder is called a factor. Factors are useful in many real-life situations, such as construction, where it is used to determine the dimensions of materials to avoid waste. Next, let's discuss the factors of 163.

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What are the Factors of 163?

Prime numbers can have just two factors, which are 1 and the number itself. Composite numbers have more than two factors. Now, let us learn more about the factors of 163.


Negative factors of 163: -1 and -163


Prime factor of 163: 163 


Prime factorization of 163: 163


The sum of factors of 163: 1 + 163 = 164
 

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How to Find the Factors of 163?

For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:

 

 

  1. Use of Multiplication Method
  2. Use of Division Method
  3. Use of Prime Factors and Prime Factorization.

 

So, here we discuss a detailed explanation of the following methods:
 

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Finding Factors Using Multiplication Method

So in the multiplication method, we will try to find out what numbers will multiply together, and give us the value 163. We will check the factors step by step:


Step 1: Start to multiply with numbers, which gives the value of 163.


Start with 1, and continue to multiply with other numbers.

 1 × 163= 163


Step 2: After the calculation, we get these numbers, the factors of 163.


Step 3: The positive factor pairs of 163 found through multiplication are (-1, -163) Step 4: The negative factor pairs of 163 are (-1, -163) 
 

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Finding Factors Using Division Method

Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 163:


Step 1: Divide 163 by smaller numbers and see if there is any remainder. E.g., 163/1 = 163. 


Step 2: We will continue in the same way and check for other numbers as well. For 163, the factors are 1 and 163. Because 163 can be divided evenly by 1 and 163.
 

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Prime Factors and Prime Factorization

The prime factors of 163 are 1 and 163. The prime factors can be found using the methods given below:
Prime Factorization
Factor Tree
By Using Prime Factorization: When using this method, the number is divided by its prime numbers until it is factored completely by l


163 has a prime number, which can be divisible by 1 and the number itself.


163 ÷ 1 =163

 

The prime factorization of 163 is : 163.


Finally, using the prime factorization method, the prime factor of 163 is 163.
 

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Using Factor Tree:

A factor tree is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.


Step 1: 163 divided by 1 gives us the answer 163.


Step 2: Since 163 is a prime number, it cannot be divided further.


 The prime factorization of 163 is written below : 


163 = 1 × 163.
 

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Factor Pairs Of 163

Every number has either a positive or negative factor. Let us look at those sets of factors.


Positive pair Factors: (1, 163)


Negative pair Factors: (-1, -163)
 

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Common Mistakes and How to Avoid Them While Solving Factors Of 163

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Factors Of 163 Examples

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Problem 1

You have a pack of 160 pencils and want to share them equally among your two friends. How many pencils will each friend get?

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Explanation

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Problem 2

Liam has 163 pens and wants to distribute them equally among friends, without any leftovers. What are his options?

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Explanation

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Problem 3

What is the GCF of 163 and 165?

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Explanation

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FAQs for factors of 163

1.Is 163 divisible by 7?

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2.Is 163 even or odd?

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3.What are the factors of 163?

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4.What are the multiples of 163?

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5.What numbers is 163 divisible by?

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Important Glossaries For Factors Of 163

  • Factors: The factors of numbers are complete numbers, that can be divided into another number evenly without remainder. Like 6 is divisible by 1, 2, 3, and 6, therefore, 1, 2, 3, and 6 are the factors of 6.

 

  • Prime Factors: Prime numbers that multiply together to give a certain product. For 163, the prime factor is 163 itself as it is a prime number.

 

  • Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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