BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon167 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors Of 169

Professor Greenline Explaining Math Concepts

In mathematics, there are lots of numbers that when divided by other numbers leave no remainder, these numbers are called factors. We use it in our vehicles mileage and money handling. Now, we’ll learn what factors are and factors of 169 let us now see.

Factors Of 169 for UK Students
Professor Greenline from BrightChamps

Factors Of 169

We can tell if a number has more than 2 factors just by seeing if a number is a prime number or not. As none of the even numbers except 2 are prime numbers, we can tell that 169 has more than 2 factors. Let us find what the factors are.


Negative factors of 169: -1, -13 and -169.


Prime factors of 169: The prime factors of 169 is 13.


Prime factorization of 169: 13×13


The sum of factors of 169: 1+13+169= 183.
 

Professor Greenline from BrightChamps

How to find the factors of 169

Children use multiple ways to find factors of a number. Let us look at some ways we can use to find the factors of 169.

 

  • Multiplication Method

 

  • Division Method

 

  • Prime Factor and Prime Factorization
     
Professor Greenline from BrightChamps

Finding The Factors Of 169 Using Multiplication

In the multiplication method, we find pairs of numbers where the product will be 169. In this process, possible steps will be - 


Step 1: Find all those numbers whose product will be 169.


Step 2: These numbers will be called the factors of 169.


Step 3: Students have to write these pairs of numbers for this method.


List of numbers whose product is 169


169×1= 169


13×13= 169

Factors of 169 by multiplication method
So the pair of numbers whose product is 169 are (1,169) and (13,13)
 

Professor Greenline from BrightChamps

Finding Factors Using Division Method

For the division method, the process of division will go on until the remainder becomes zero.



Step 1: For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 169÷1 = 169.


Step 2: Then check with the next number to see whether the number is divided completely without any remainder. Both divisor and quotient are the factors. Example: 169÷13 = 13 and so on.
Factors of 169 by the division method

Professor Greenline from BrightChamps

Prime Factorization And Prime Factors

Prime factorization is the process where the number will be a product of prime factors or prime numbers.


Prime Factors Of 169: The prime factors of 169 is 13. We find the prime factors of 169 by two ways.


Prime Factorization:Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 169, the steps are like this:


169/13= 13


13/13= 1


As 13 is a prime number, it is only divisible by 13. Hence, The prime factorization of the number 169 is 13×13.
 

Professor Greenline from BrightChamps

Factor Tree:

This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a factor tree.


Step 1: 169 divided by 13 gives us the answer being 13.


Step 2: 13 divided by 13 gives us 1.


Step 4: This we can’t divide further.

Factors of 169 using factor tree
 

Professor Greenline from BrightChamps

Factor Pairs For 169

There are positive and negative factor pairs for a given number. Let us look at these factor pairs.


Positive Factor Pairs: (1,169) and (13,13).


Negative Factor Pairs: (-1,-169) and (-13,-13).
 

Max Pointing Out Common Math Mistakes

Common mistakes and how to avoid them in the factors of 169

It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing!
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Assuming 169 is prime,
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

One may wrongly assume that the number 169 is prime and stop looking for factors.

Max from BrightChamps Saying "Hey"

Factors Of 169 Examples

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

Problem 1

Let us look at some of the examples that are related to factors and how to solve them.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

A rectangular garden has an area of 169 square meters. If the length of the garden is 13 meters, what is the width?
 

Explanation

The width is 13 meters, as Area=Length×Width and 169=13×Width, so Width = 13 meters.


Explanation: The area of a rectangle is length times width. So, 169 = 13 × width, and width = 13 meters.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

If a square has a side length of 13 units, what is its area?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 The area of the square is 169 square units, as Area=side2, so 132=169.
 

Explanation

 The area is found by multiplying the side length by itself. Here, 13 × 13 = 169 square units.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A square table has an area of 169 square inches. If its side length is increased by 2 inches, what is the new area?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The new area is 225 square inches, as the new side length is 13+2=15, and 152=225.

Explanation

The side length is 15 inches (13+2). Multiply 15 by 15 to get the new area: 225.
.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A rectangle’s length is 13 meters, and its area is 169 square meters. What is its width?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The width of the rectangle is 13 meters, as Area=Length×Width, so 169=13×Width, so Width = 13 meters.
 

Explanation

 The area of a rectangle is length times width. Since 169 = 13 × width, width = 13 meters.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A book has 169 pages. If a person reads 13 pages per day, how many days will it take to finish the book?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

It will take 13 days to finish the book, as 169÷13=13.
 

Explanation

 If you read 13 pages each day, dividing 169 pages by 13 gives 13 days to complete the book.
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs For Factors Of 169

1.What are the factors of 169?

Math FAQ Answers Dropdown Arrow

2.How many factors does the number 169 have, and what are they?

Math FAQ Answers Dropdown Arrow

3.What are the prime factors of 169, and what is its prime factorization?

Math FAQ Answers Dropdown Arrow

4.Is 169 divisible by other numbers besides 1, 13, and 169?

Math FAQ Answers Dropdown Arrow

5.What two identical numbers multiply together to make 169?

Math FAQ Answers Dropdown Arrow

6.How can children in United Kingdom use numbers in everyday life to understand Factors Of 169?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United Kingdom can practice Factors Of 169 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors Of 169 play in helping children in United Kingdom develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United Kingdom create number-rich environments to improve Factors Of 169 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 169

  • Multiplication Method: It is a technique by which factors of a number are located by pairing and verifying the numbers, which product is the original number.

 

  • Perfect Square: A number that is the product of a whole number multiplied by itself. 169 is a perfect square (13 × 13).

 

  • Factor Tree: A diagram that breaks down a number into its prime factors by dividing it progressively, like 169 divided by 13.

 

  • Prime Factors: The numbers that the prime numbers multiply to equals to the actual number. 169 is the prime factor of 13.
     
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 169 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!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom