121 LearnersLast updated on May 26th, 2025
Factors of 337
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 337, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 337?
The numbers that divide 337 evenly are known as factors of 337.
A factor of 337 is a number that divides the number without remainder.
The factors of 337 are 1 and 337.
Negative factors of 337: -1 and -337.
Prime factors of 337: 337 (since 337 is a prime number).
Prime factorization of 337: 337 (itself, as it is a prime number).
The sum of factors of 337: 1 + 337 = 338
How to Find Factors of 337?
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 identify any pairs of numbers that multiply to give 337. Since 337 is a prime number, the only multiplication that works is:
Step 1: Multiply 337 by 1, 337 × 1 = 337.
Therefore, the positive factor pair of 337 is: (1, 337).
Every positive factor has a corresponding negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero helps in listing out the factors. Factors can be calculated by the following simple division method:
Step 1: Divide 337 by 1, 337 ÷ 1 = 337.
Since 337 is a prime number, no other division results in a whole number.
Therefore, the factors of 337 are: 1 and 337.
Prime Factors and Prime Factorization
The factors can be found by dividing it by prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: As 337 is a prime number, it is its own prime factor.
The prime factorization of 337 is: 337.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. Since 337 is a prime number, the factor tree is simple:
Step 1: 337 is already a prime number and cannot be divided further. So, the prime factorization of 337 is: 337.
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 337: (1, 337).
Negative factor pair of 337: (-1, -337).
Common Mistakes and How to Avoid Them in Factors of 337
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 337, 1 and 337 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 337 consist of -1 and -337.
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 is incorrect because 337/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 337 are prime numbers. Here, 337 is a prime number, but its factors include 1, which is not prime.
Mistake 5
Mistake in Prime Identification
Children might skip the step of verifying if a number is prime and misidentify its factors.
For example, not recognizing 337 as a prime number and incorrectly attempting to factor it further.
Factors of 337 Examples
Problem 1
There are 3 friends and 337 pages to read. How will they divide the reading equally among themselves?
They will not be able to divide it equally without splitting pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of friends.
337 is a prime number and cannot be divided evenly by 3.
Problem 2
A painting is 337 cm in height and needs to be framed. If the width of the frame is 1 cm, what is the total height of the framed painting?
339 cm.
Explanation
To find the total height of the framed painting, add twice the width of the frame to the height.
337 + 2 × 1 = 339
Problem 3
There are 337 marbles and 2 boxes. Can we distribute the marbles equally in the boxes?
No, the marbles cannot be distributed equally without splitting.
Explanation
Since 337 is a prime number, it cannot be evenly divided by 2.
Problem 4
A group of students is measuring a 337-meter track. If each student measures 1 meter, how many students are needed?
337 students.
Explanation
Each student measures 1 meter, so the total number of students needed is equal to the length of the track:
337/1 = 337
Problem 5
There is a 337-liter tank of water. If you use 1-liter bottles to fill it, how many bottles will you need?
You will need 337 bottles.
Explanation
To fill the tank, divide the total liters by the size of the bottle:
337/1 = 337
FAQs on Factors of 337
1.What are the factors of 337?
2.Is 337 a prime number?
3.Is 337 a multiple of any number other than 1 and itself?
4.What are the negative factors of 337?
5.What is the sum of the factors of 337?
6.How can children in United States use numbers in everyday life to understand Factors of 337?
7.What are some fun ways kids in United States can practice Factors of 337 with numbers?
8.What role do numbers and Factors of 337 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 337 skills?
Important Glossaries for Factors of 337
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 337 are 1 and 337.
- Prime factors: The factors which are prime numbers. For example, 337 is its own prime factor.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 337 is a prime number.
- 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 337 is (1, 337).
- Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, -1 and -337 are negative factors of 337.
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About BrightChamps in United States
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.
