125 LearnersLast updated on May 26th, 2025
Factors of 1347
Factors are the numbers that divide any given number evenly without a 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 1347, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1347?
The numbers that divide 1347 evenly are known as factors of 1347.
A factor of 1347 is a number that divides the number without remainder.
The factors of 1347 are 1, 3, 449, and 1347.
Negative factors of 1347: -1, -3, -449, and -1347.
Prime factors of 1347: 3 and 449.
Prime factorization of 1347: 3 × 449.
The sum of factors of 1347: 1 + 3 + 449 + 1347 = 1800
How to Find Factors of 1347?
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 1347. Identifying the numbers which are multiplied to get the number 1347 is the multiplication method.
Step 1: Multiply 1347 by 1, 1347 × 1 = 1347.
Step 2: Check for other numbers that give 1347 after multiplying 3 × 449 = 1347
Therefore, the positive factor pairs of 1347 are: (1, 1347) and (3, 449).
All these factor pairs result in 1347.
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 the simple division method
Step 1: Divide 1347 by 1, 1347 ÷ 1 = 1347.
Step 2: Continue dividing 1347 by the numbers until the remainder becomes 0.
1347 ÷ 1 = 1347
1347 ÷ 3 = 449
Therefore, the factors of 1347 are: 1, 3, 449, and 1347.
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 1347 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1347 ÷ 3 = 449
449 ÷ 449 = 1
The prime factors of 1347 are 3 and 449.
The prime factorization of 1347 is: 3 × 449.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1347 is divided by 3 to get 449.
Step 2: Now divide 449 by 449 to get 1. Here, 449 is a prime number and cannot be divided anymore. So, the prime factorization of 1347 is: 3 × 449.
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 1347: (1, 1347) and (3, 449).
Negative factor pairs of 1347: (-1, -1347) and (-3, -449).
Common Mistakes and How to Avoid Them in Factors of 1347
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 1347, 1 and 1347 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1347 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 1347/2.5 = 538.8, and it 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 the factors of 1347 are prime numbers.
For example, 3 and 449 are the prime factors of 1347, but it has other factors like 1 and 1347.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1347 as 3 × 449 and missing key factors.
Factors of 1347 Examples
Problem 1
There are 3 teams and 1347 marbles. How will they divide it equally?
Each team will get 449 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
1347/3 = 449
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1347 square meters. Find the width.
449 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1347 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1347/3 = width
Width = 449.
Problem 3
There are 449 students and 1347 books. How many books will each student get?
Each student will get 3 books.
Explanation
To find the books each student will get, divide the total books by the number of students.
1347/449 = 3
Problem 4
In a tournament, there are 1347 participants, and 3 groups. How many participants are there in each group?
There are 449 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1347/3 = 449
Problem 5
1347 pages need to be printed in 3 printers. How many pages will each printer print?
Each printer will print 449 pages.
Explanation
Divide total pages by printers.
1347/3 = 449
FAQs on Factors of 1347
1.What are the factors of 1347?
2.Mention the prime factors of 1347.
3.Is 1347 a multiple of 3?
4.Mention the factor pairs of 1347?
5.What is the square of 1347?
6.How can children in India use numbers in everyday life to understand Factors of 1347?
7.What are some fun ways kids in India can practice Factors of 1347 with numbers?
8.What role do numbers and Factors of 1347 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1347 skills?
Important Glossaries for Factors of 1347
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1347 are 1, 3, 449, and 1347.
- Prime factors: The factors which are prime numbers. For example, 3 and 449 are prime factors of 1347.
- 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 1347 are (1, 1347) and (3, 449).
- Multiple: A number that can be divided by another number without a remainder. For example, 1347 is a multiple of 3.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1347 is 3 × 449.
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About BrightChamps in India
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.
