BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1367

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 1367, how they are used in real life, and tips to learn them quickly.

Factors of 1367 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 1367?

The numbers that divide 1367 evenly are known as factors of 1367.

 

A factor of 1367 is a number that divides the number without remainder.

 

The factors of 1367 are 1, 29, 47, and 1367.

 

Negative factors of 1367: -1, -29, -47, and -1367.

 

Prime factors of 1367: 29 and 47.

 

Prime factorization of 1367: 29 × 47.

 

The sum of factors of 1367: 1 + 29 + 47 + 1367 = 1444

Professor Greenline from BrightChamps

How to Find Factors of 1367?

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

 

  • Finding factors using multiplication
     
  • Finding factors using 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 1367. Identifying the numbers which are multiplied to get the number 1367 is the multiplication method.

 

Step 1: Multiply 1367 by 1, 1367 × 1 = 1367.

 

Step 2: Check for other numbers that give 1367 after multiplying 29 × 47 = 1367

 

Therefore, the positive factor pairs of 1367 are: (1, 1367) and (29, 47).

 

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 1367 by 1, 1367 ÷ 1 = 1367.

 

Step 2: Continue dividing 1367 by the numbers until the remainder becomes 0.

 

1367 ÷ 1 = 1367

1367 ÷ 29 = 47

1367 ÷ 47 = 29

 

Therefore, the factors of 1367 are: 1, 29, 47, 1367.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. 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 1367 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

1367 ÷ 29 = 47

47 ÷ 47 = 1

 

The prime factors of 1367 are 29 and 47.

 

The prime factorization of 1367 is: 29 × 47.

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, 1367 is divided by 29 to get 47.

 

Step 2: Now divide 47 by 47 to get 1. Here, 47 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1367 is: 29 × 47.

 

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 1367: (1, 1367) and (29, 47).

 

Negative factor pairs of 1367: (-1, -1367) and (-29, -47).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1367

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

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

 

For example, in factors of 1367, 1 and 1367 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1367 Examples

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

Problem 1

A group of 29 people wants to buy 1367 tickets. How many tickets does each person get if divided equally?

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

Each person will get 47 tickets.

Explanation

To divide the tickets equally, we need to divide the total tickets by the number of people.

 

1367/29 = 47

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

Problem 2

A gardener has 1367 flowers and wants to plant them in 47 rows. How many flowers will be in each row?

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

29 flowers.

Explanation

To find the number of flowers in each row, we use the formula,

 

Total Flowers = Rows × Flowers per row

 

1367 = 47 × Flowers per row

 

To find the value of flowers per row, divide 1367 by 47.

 

1367/47 = 29

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

Problem 3

A baker makes 1367 cookies and wants to pack them into 47 packs. How many cookies will be in each pack?

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

Each pack will have 29 cookies.

Explanation

To find the cookies in each pack, divide the total cookies by the packs.

 

1367/47 = 29

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

Problem 4

A printing press prints 1367 pages and wants to bind them into 29 books. How many pages will be in each book?

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

There will be 47 pages in each book.

Explanation

Dividing the total pages by the number of books gives the number of pages in each book.

 

1367/29 = 47

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

Problem 5

A librarian has 1367 books and wants to arrange them on 29 shelves. How many books will go on each shelf?

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

Each shelf will have 47 books.

Explanation

Divide the total books by the shelves.

 

1367/29 = 47

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

FAQs on Factors of 1367

1.What are the factors of 1367?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1367.

Math FAQ Answers Dropdown Arrow

3.Is 1367 a multiple of 29?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1367?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1367?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 1367

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1367 are 1, 29, 47, and 1367.
     
  • Prime factors: The factors which are prime numbers. For example, 29 and 47 are prime factors of 1367.
     
  • 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 1367 are (1, 1367) and (29, 47).
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1367 is 29 × 47.
     
  • Multiple: A multiple of a number is the product of that number and an integer. For example, 1367 is a multiple of 29 and 47.
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