118 LearnersLast updated on May 26th, 2025
Factors of 1337
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.
What are the Factors of 1337?
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
How to Find Factors of 1337?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1337
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 1337, 1 and 1337 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1337 consist of -1, -7, -191, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction as a factor. Only whole numbers can be a factor.
For example, thinking 133.7 as a factor is incorrect, as 1337/133.7 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 1337 are prime numbers.
For example, 7 and 191 are the prime factors of 1337, but it also includes other factors like 1 and 1337.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1337 as 7 × 191 and missing all the key factors.
Factors of 1337 Examples
Problem 1
There are 7 friends and 1337 marbles. How will they divide it equally?
They will get 191 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
1337/7 = 191
Problem 2
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.
Explanation
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.
Problem 3
There are 191 boxes and 1337 candies. How many candies will be in each box?
Each box will have 7 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1337/191 = 7
Problem 4
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.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1337/191 = 7
Problem 5
1337 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 191 books.
Explanation
Divide total books with shelves.
1337/7 = 191
FAQs on Factors of 1337
1.What are the factors of 1337?
2.Mention the prime factors of 1337.
3.Is 1337 a multiple of 7?
4.Mention the factor pairs of 1337?
5.What is the square of 1337?
Important Glossaries for Factor of 1337
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1337 are 1, 7, 191, and 1337.
- Prime factors: The factors which are prime numbers. For example, 7 and 191 are prime factors of 1337.
- 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 1337 are (1, 1337) and (7, 191).
- Prime factorization: The process of breaking down a number into its prime factors. For example, 1337 can be broken down into 7 × 191.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 7 × 191 = 1337.
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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.
