BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1727

Professor Greenline Explaining Math Concepts

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1727, how they are used in real life, and tips to learn them quickly.

Factors of 1727 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 1727?

The numbers that divide 1727 evenly are known as factors of 1727.

 

A factor of 1727 is a number that divides the number without remainder.

 

The factors of 1727 are 1, 19, 91, and 1727.

 

Negative factors of 1727: -1, -19, -91, and -1727.

 

Prime factors of 1727: 19 and 91.

 

Prime factorization of 1727: 19 × 91.

 

The sum of factors of 1727: 1 + 19 + 91 + 1727 = 1838

Professor Greenline from BrightChamps

How to Find Factors of 1727?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
     
  • Finding factors using the division method
     
  • Prime factors and Prime factorization
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1727. Identifying the numbers which are multiplied to get the number 1727 is the multiplication method.

 

Step 1: Multiply 1727 by 1, 1727 × 1 = 1727.

 

Step 2: Check for other numbers that give 1727 after multiplying 19 × 91 = 1727

 

Therefore, the positive factor pairs of 1727 are: (1, 1727) and (19, 91).

 

All these factor pairs result in 1727.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method

 

Step 1: Divide 1727 by 1, 1727 ÷ 1 = 1727.

 

Step 2: Continue dividing 1727 by the numbers until the remainder becomes 0.

 

1727 ÷ 1 = 1727

1727 ÷ 19 = 91

1727 ÷ 91 = 19

 

Therefore, the factors of 1727 are: 1, 19, 91, and 1727.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:

 

  • Using prime factorization
     
  • Using factor tree

 

Using Prime Factorization: In this process, prime factors of 1727 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1727 ÷ 19 = 91

91 ÷ 91 = 1

 

The prime factors of 1727 are 19 and 91.

 

The prime factorization of 1727 is: 19 × 91.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

 

Step 1: Firstly, 1727 is divided by 19 to get 91.

 

Step 2: 91 is a result of multiplying 19 by 91, so we stop here as 19 is a prime number. Thus, the prime factorization of 1727 is: 19 × 91.

 

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

 

Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 1727: (1, 1727) and (19, 91).

 

Negative factor pairs of 1727: (-1, -1727) and (-19, -91).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1727

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 1727, 1 and 1727 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1727 Examples

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

Problem 1

There are 91 people and 1727 chairs. How will they arrange them equally?

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

Each person will have 19 chairs.

Explanation

To divide the chairs equally, we need to divide the total chairs with the number of people.

 

1727/91 = 19

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

Problem 2

A banner is rectangular, the length of the banner is 19 meters and the total area is 1727 square meters. Find the width?

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

91 meters.

Explanation

To find the width of the banner, we use the formula,

 

Area = length × width

 

1727 = 19 × width

 

To find the value of width, we need to shift 19 to the left side.

 

1727/19 = width

 

Width = 91.

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

Problem 3

A shipment contains 1727 packages, and there are 19 containers. How many packages will be in each container?

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

Each container will have 91 packages.

Explanation

To find the packages in each container, divide the total packages with the containers.

 

1727/19 = 91

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

Problem 4

In a competition, there are 1727 participants, and they are divided into 91 groups. How many participants are there in each group?

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

There are 19 participants in each group.

Explanation

Dividing the participants with the total groups, we will get the number of participants in each group.

 

1727/91 = 19

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

Problem 5

1727 tiles need to be arranged in 19 rows. How many tiles will go in each row?

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

Each row has 91 tiles.

Explanation

Divide total tiles by rows.

 

1727/19 = 91

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

FAQs on Factors of 1727

1.What are the factors of 1727?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1727.

Math FAQ Answers Dropdown Arrow

3.Is 1727 a multiple of 19?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1727?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1727?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 1727?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 1727 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1727 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 1727 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 1727

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1727 are 1, 19, 91, and 1727.
     
  • Prime factors: The factors which are prime numbers. For example, 19 is a prime factor of 1727.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1727 are (1, 1727) and (19, 91).
     
  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1727 can be expressed as 19 × 91.
     
  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 1727 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting 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