121 LearnersLast updated on May 26th, 2025
Factors of 347
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 347, how they are used in real life, and tips to learn them quickly.
What are the Factors of 347?
The numbers that divide 347 evenly are known as factors of 347.
A factor of 347 is a number that divides the number without remainder.
Since 347 is a prime number, its only factors are 1 and 347.
Negative factors of 347: -1 and -347.
Prime factors of 347: 347 (since it is a prime number itself).
Prime factorization of 347: 347.
The sum of factors of 347: 1 + 347 = 348
How to Find Factors of 347?
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 347. Identifying the numbers which are multiplied to get the number 347 is the multiplication method. Since 347 is a prime number, the only multiplication that results in 347 is:
Step 1: Multiply 347 by 1, 347 × 1 = 347.
Therefore, the positive factor pair of 347 is: (1, 347).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 347 by 1, 347 ÷ 1 = 347.
Step 2: Check for numbers until 347 to see if they divide without remainder.
Since 347 is a prime number, the only whole number factors are 1 and 347.
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, since 347 is a prime number, it cannot be further factorized into other prime numbers.
The prime factors of 347 are 347 itself.
The prime factorization of 347 is: 347.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 347 is a prime number, it does not break down further.
The factor tree for 347 is simply 347 itself, as it cannot be divided by any other prime number.
So, the prime factorization of 347 is: 347.
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 pair of 347: (1, 347).
Negative factor pair of 347: (-1, -347).
Common Mistakes and How to Avoid Them in Factors of 347
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 347, 1 and 347 are the only factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 347 consist of -1 and -347 as well.
Mistake 3
Including the Fraction
Children might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 347/1.5 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 the factors of 347 should be prime numbers. Since 347 is a prime number, it has no other factors besides 1 and itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, assuming 347 could be broken into factors other than 1 and 347 itself.
Factors of 347 Examples
Problem 1
A family of 347 people wants to plant a tree each. How many trees do they need?
They need 347 trees.
Explanation
Each person plants one tree, so the total number of trees needed equals the number of people.
Therefore, 347 trees are required.
Problem 2
A book club has 347 members and wants to organize books equally among them. If each member gets one book, how many books are needed?
347 books are needed.
Explanation
To allocate one book per member, the total number of books needed equals the number of members.
Problem 3
A bus can carry 347 passengers. If the bus is full, how many seats does it have?
The bus has 347 seats.
Explanation
Each passenger needs one seat, so the number of seats equals the number of passengers.
Problem 4
An artist creates 347 unique pieces of art and wants to give one to each of their 347 friends. How many pieces are left after distribution?
No pieces are left.
Explanation
If each friend receives one piece, all 347 pieces are distributed with none remaining.
Problem 5
A stadium has a seating capacity of 347. If each visitor occupies one seat, how many visitors can be accommodated?
347 visitors can be accommodated.
Explanation
Each seat is occupied by one visitor, so the number of visitors that can be accommodated equals the seating capacity.
FAQs on Factors of 347
1.What are the factors of 347?
2.Mention the prime factors of 347.
3.Is 347 a multiple of 4?
4.Mention the factor pair of 347?
5.What is the square of 347?
Important Glossaries for Factor of 347
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 347 are 1 and 347.
- Prime factors: The factors which are prime numbers. For example, 347 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 347 is (1, 347).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. 347 is an example of a prime number.
- Composite number: A number that has more than two factors. 347 is not a composite number.
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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.
