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 1337, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1337 evenly are known as factors of 1337.
A factor of 1337 is a number that divides the number without remainder.
The factors of 1337 are 1, 7, 191, and 1337.
Negative factors of 1337: -1, -7, -191, and -1337.
Prime factors of 1337: 7 and 191.
Prime factorization of 1337: 7 × 191.
The sum of factors of 1337: 1 + 7 + 191 + 1337 = 1536
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1337. Identifying the numbers which are multiplied to get the number 1337 is the multiplication method.
Step 1: Multiply 1337 by 1, 1337 × 1 = 1337.
Step 2: Check for other numbers that give 1337 after multiplying 7 × 191 = 1337
Therefore, the positive factor pairs of 1337 are: (1, 1337) and (7, 191). All these factor pairs result in 1337.
For every positive factor, there is a negative factor.
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 1337 by 1, 1337 ÷ 1 = 1337.
Step 2: Continue dividing 1337 by the numbers until the remainder becomes 0.
1337 ÷ 1 = 1337
1337 ÷ 7 = 191
1337 ÷ 191 = 7
Therefore, the factors of 1337 are: 1, 7, 191, and 1337.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1337 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1337 ÷ 7 = 191
191 ÷ 191 = 1
The prime factors of 1337 are 7 and 191.
The prime factorization of 1337 is: 7 × 191.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1337 is divided by 7 to get 191.
Step 2: 191 is a prime number and cannot be divided further. So, the prime factorization of 1337 is: 7 × 191.
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 1337: (1, 1337) and (7, 191).
Negative factor pairs of 1337: (-1, -1337) and (-7, -191).
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 7 friends and 1337 marbles. How will they divide it equally?
They will get 191 marbles each.
To divide the marbles equally, we need to divide the total marbles with the number of friends.
1337/7 = 191
A field is rectangular, the width of the field is 7 meters and the total area is 1337 square meters. Find the length?
191 meters.
To find the length of the field, we use the formula,
Area = length × width
1337 = length × 7
To find the value of length, we need to shift 7 to the left side.
1337/7 = length
Length = 191.
There are 191 boxes and 1337 candies. How many candies will be in each box?
Each box will have 7 candies.
To find the candies in each box, divide the total candies with the boxes.
1337/191 = 7
In a class, there are 1337 students, and 191 groups. How many students are there in each group?
There are 7 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1337/191 = 7
1337 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 191 books.
Divide total books with shelves.
1337/7 = 191
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.