125 LearnersLast updated on May 26th, 2025
Factors of 1367
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1367 consist of -1, -29, -47, etc.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly considered as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 1367/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all factors of 1367 are prime numbers. For instance, 29 and 47 are the prime factors of 1367, but it also has other factors like 1 and 1367.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1367 as 29 × 47 and missing key factors.
Factors of 1367 Examples
Problem 1
A group of 29 people wants to buy 1367 tickets. How many tickets does each person get if divided equally?
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
Problem 2
A gardener has 1367 flowers and wants to plant them in 47 rows. How many flowers will be in each row?
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
Problem 3
A baker makes 1367 cookies and wants to pack them into 47 packs. How many cookies will be in each pack?
Each pack will have 29 cookies.
Explanation
To find the cookies in each pack, divide the total cookies by the packs.
1367/47 = 29
Problem 4
A printing press prints 1367 pages and wants to bind them into 29 books. How many pages will be in each book?
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
Problem 5
A librarian has 1367 books and wants to arrange them on 29 shelves. How many books will go on each shelf?
Each shelf will have 47 books.
Explanation
Divide the total books by the shelves.
1367/29 = 47
FAQs on Factors of 1367
1.What are the factors of 1367?
2.Mention the prime factors of 1367.
3.Is 1367 a multiple of 29?
4.Mention the factor pairs of 1367?
5.What is the square of 1367?
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.
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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.
Fun Fact
: She loves to read number jokes and games.
