Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it by prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: As 337 is a prime number, it is its own prime factor.
The prime factorization of 337 is: 337.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
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.
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.
To find the total height of the framed painting, add twice the width of the frame to the height.
337 + 2 × 1 = 339
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.
Since 337 is a prime number, it cannot be evenly divided by 2.
A group of students is measuring a 337-meter track. If each student measures 1 meter, how many students are needed?
337 students.
Each student measures 1 meter, so the total number of students needed is equal to the length of the track:
337/1 = 337
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.
To fill the tank, divide the total liters by the size of the bottle:
337/1 = 337
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.
: She loves to read number jokes and games.