102 LearnersLast updated on May 26th, 2025
Factors of 9377
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 9377, how they are used in real life, and tips to learn them quickly.
What are the Factors of 9377?
The numbers that divide 9377 evenly are known as factors of 9377.
A factor of 9377 is a number that divides the number without remainder.
The factors of 9377 are 1, 7, 1339, and 9377.
Negative factors of 9377: -1, -7, -1339, and -9377.
Prime factors of 9377: 7 and 1339.
Prime factorization of 9377: 7 × 1339.
The sum of factors of 9377: 1 + 7 + 1339 + 9377 = 10724
How to Find Factors of 9377?
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 9377. Identifying the numbers which are multiplied to get the number 9377 is the multiplication method.
Step 1: Multiply 9377 by 1, 9377 × 1 = 9377.
Step 2: Check for other numbers that give 9377 after multiplying
7 × 1339 = 9377
Therefore, the positive factor pairs of 9377 are: (1, 9377) and (7, 1339).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 the simple division method
Step 1: Divide 9377 by 1, 9377 ÷ 1 = 9377.
Step 2: Continue dividing 9377 by the numbers until the remainder becomes 0.
9377 ÷ 1 = 9377
9377 ÷ 7 = 1339
Therefore, the factors of 9377 are: 1, 7, 1339, and 9377.
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 9377 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
9377 ÷ 7 = 1339 1339 is a prime number itself.
The prime factors of 9377 are 7 and 1339.
The prime factorization of 9377 is: 7 × 1339.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 9377 is divided by 7 to get 1339.
Step 2: 1339 is a prime number, so it cannot be divided further. Thus, the prime factorization of 9377 is: 7 × 1339.
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 9377: (1, 9377) and (7, 1339).
Negative factor pairs of 9377: (-1, -9377) and (-7, -1339).
Common Mistakes and How to Avoid Them in Factors of 9377
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 9377, 1 and 9377 are also factors.
Factors of 9377 Examples
Problem 1
There are 7 friends and 9377 candies. How will they divide it equally?
They will get 1339 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
9377/7 = 1339
Problem 2
A field is rectangular, the length of the field is 7 meters, and the total area is 9377 square meters. Find the width?
1339 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
9377 = 7 × width
To find the value of width, we need to shift 7 to the left side.
9377/7 = width
Width = 1339.
Problem 3
There are 9377 apples and 1339 baskets. How many apples will be in each basket?
Each basket will have 7 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
9377/1339 = 7
Problem 4
In a class, there are 9377 students and 1339 groups. How many students are there in each group?
There are 7 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
9377/1339 = 7
Problem 5
9377 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 1339 books.
Explanation
Divide total books by shelves.
9377/7 = 1339
FAQs on Factors of 9377
1.What are the factors of 9377?
2.Mention the prime factors of 9377.
3.Is 9377 a multiple of 7?
4.Mention the factor pairs of 9377?
5.What is the square of 9377?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 9377?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 9377 with numbers?
8.What role do numbers and Factors of 9377 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 9377 skills?
Important Glossaries for Factors of 9377
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9377 are 1, 7, 1339, and 9377.
- Prime factors: The factors which are prime numbers. For example, 7 and 1339 are prime factors of 9377.
- 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 9377 are (1, 9377) and (7, 1339).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 9377 is 7 × 1339.
- Negative factors: Negative counterparts of the positive factors. For example, -1, -7, -1339, and -9377 are negative factors of 9377.
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About BrightChamps in United Arab Emirates
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.
