102 LearnersLast updated on May 26th, 2025
Factors of 1349
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 1349, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1349?
The numbers that divide 1349 evenly are known as factors of 1349.
A factor of 1349 is a number that divides the number without remainder.
The factors of 1349 are 1, 7, 193, and 1349.
Negative factors of 1349: -1, -7, -193, and -1349.
Prime factors of 1349: 7 and 193.
The prime factorization of 1349: 7 × 193.
The sum of factors of 1349: 1 + 7 + 193 + 1349 = 1550
How to Find Factors of 1349?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1349. Identifying the numbers which are multiplied to get the number 1349 is the multiplication method.
Step 1: Multiply 1349 by 1, 1349 × 1 = 1349.
Step 2: Check for other numbers that give 1349 after multiplying 7 × 193 = 1349
Therefore, the positive factor pairs of 1349 are: (1, 1349) and (7, 193).
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 1349 by 1, 1349 ÷ 1 = 1349.
Step 2: Continue dividing 1349 by the numbers until the remainder becomes 0.
1349 ÷ 1 = 1349
1349 ÷ 7 = 193
Therefore, the factors of 1349 are: 1, 7, 193, 1349.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1349 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1349 ÷ 7 = 193
193 ÷ 193 = 1
The prime factors of 1349 are 7 and 193.
The prime factorization of 1349 is: 7 × 193.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1349 is divided by 7 to get 193.
Step 2: Now divide 193 by 193 to get 1. Here, 193 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1349 is: 7 × 193.
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 1349: (1, 1349) and (7, 193).
Negative factor pairs of 1349: (-1, -1349) and (-7, -193).
Common Mistakes and How to Avoid Them in Factors of 1349
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
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 1349, 1 and 1349 are also factors.
Factors of 1349 Examples
Problem 1
There are 1349 apples and 7 baskets. How will they divide it equally?
Each basket will have 193 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1349 ÷ 7 = 193
Problem 2
A rectangular room has a length of 7 meters and a total area of 1349 square meters. Find the width.
193 meters.
Explanation
To find the width of the room, we use the formula,
Area = length × width
1349 = 7 × width
To find the value of width, we need to shift 7 to the left side.
1349 ÷ 7 = width
Width = 193.
Problem 3
There are 193 students and 1349 notebooks. How many notebooks will each student get?
Each student will get 7 notebooks.
Explanation
To find the notebooks each student gets, divide the total notebooks by the number of students.
1349 ÷ 193 = 7
Problem 4
In a conference, there are 1349 attendees and 193 tables. How many attendees are there at each table?
There are 7 attendees at each table.
Explanation
Dividing the attendees by the total tables, we will get the number of attendees at each table.
1349 ÷ 193 = 7
Problem 5
1349 books need to be organized in 7 shelves. How many books will go on each shelf?
Each shelf will have 193 books.
Explanation
Divide total books by shelves.
1349 ÷ 7 = 193
FAQs on Factors of 1349
1.What are the factors of 1349?
2.Mention the prime factors of 1349.
3.Is 1349 a multiple of 7?
4.Mention the factor pairs of 1349?
5.What is the square of 1349?
6.How can children in Oman use numbers in everyday life to understand Factors of 1349?
7.What are some fun ways kids in Oman can practice Factors of 1349 with numbers?
8.What role do numbers and Factors of 1349 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1349 skills?
Important Glossaries for Factor of 1349
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1349 are 1, 7, 193, and 1349.
- Prime factors: The factors which are prime numbers. For example, 7 and 193 are prime factors of 1349.
- 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 1349 are (1, 1349) and (7, 193).
- Prime Factorization: It is the expression of a number as the product of its prime factors. For example, the prime factorization of 1349 is 7 × 193.
- Multiple: A number is a multiple of another if it can be divided by that number without a remainder. For example, 1349 is a multiple of 7.
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About BrightChamps in Oman
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.
