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Last updated on May 26th, 2025

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Factors Of 163

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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.

Factors Of 163 for UK Students
Professor Greenline from BrightChamps

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
 

Professor Greenline from BrightChamps

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:
 

Professor Greenline from BrightChamps

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) 
 

Professor Greenline from BrightChamps

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.
 

Professor Greenline from BrightChamps

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.
 

Professor Greenline from BrightChamps

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.
 

Professor Greenline from BrightChamps

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)
 

Max Pointing Out Common Math Mistakes

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

Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.
 

Mistake 1

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Confusing Factors with Multiples
 

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The factors can divide a number exactly, whereas multiples are the product of multiplying the number by whole numbers. For example for 12, the factors are 1, 2, 3, 4, 6, and 12. And the multiples are 12, 24, and 36, etc… To avoid this confusion, always understand the concept separately. 
 

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Factors Of 163 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

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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Each friend will get 80 pencils.
 

Explanation

To divide 160 pencils equally among two friends, divide the total number of pencils by 2 (total number of friends).


Total number of pencils = 160
Number of friends = 2
160÷ 2 = 80


 Therefore, Each friend will receive 80 pencils.
 

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Max, the Girl Character from BrightChamps

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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The options are 1 and 163.
 

Explanation

Here, Liam has two possible solutions : 


He can give 1 pen to each of his 163 friends.
He can give all 163 pens to a single friend.   
 

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Max, the Girl Character from BrightChamps

Problem 3

What is the GCF of 163 and 165?

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Common factors of 163 and 165 = 1
 

Explanation

The GCF is the greatest common factor of both numbers 163 and 165, which is 1. The following steps help to calculate the GCF; 


Factors of 163 and 165.
Factors of 163 = 1 and 163
Factors of 165 = 1, 3, 5, 11, 15, 33, 55, and 165.
Common factors of 163 and 165 = 1.


 

  

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Ray Thinking Deeply About Math Problems

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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6.How can children in United Kingdom use numbers in everyday life to understand Factors Of 163?

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7.What are some fun ways kids in United Kingdom can practice Factors Of 163 with numbers?

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8.What role do numbers and Factors Of 163 play in helping children in United Kingdom develop problem-solving skills?

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9.How can families in United Kingdom create number-rich environments to improve Factors Of 163 skills?

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Professor Greenline from BrightChamps

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).
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, numbers are more than just figures—they open doors to endless opportunities! Our mission is to help children across the United Kingdom gain essential math skills, focusing today on Factors Of 163 with special attention to understanding factors—in an engaging, enjoyable, and easy-to-follow way. Whether your child is working out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money to buy the latest gadgets, strong number skills give them confidence in daily life. Our interactive lessons make learning simple and fun. Because children in the UK have varied learning styles, we tailor our approach to suit each learner. From London’s busy streets to Cornwall’s beautiful coasts, BrightChamps brings math to life, making it relatable and exciting throughout the UK. Let’s make factors an enjoyable part of every child’s math journey!
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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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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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