Factors of 9377
2026-02-28 10:11 Diff

293 Learners

Last updated on December 12, 2025

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.

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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: 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.

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Problem 1

There are 7 friends and 9377 candies. How will they divide it equally?

Okay, lets begin

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

Well explained 👍

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?

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 9377 apples and 1339 baskets. How many apples will be in each basket?

Okay, lets begin

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

Well explained 👍

Problem 4

In a class, there are 9377 students and 1339 groups. How many students are there in each group?

Okay, lets begin

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

Well explained 👍

Problem 5

9377 books need to be arranged in 7 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 1339 books.

Explanation

Divide total books by shelves.

9377/7 = 1339

Well explained 👍

FAQs on Factors of 9377

1.What are the factors of 9377?

1, 7, 1339, 9377 are the factors of 9377.

2.Mention the prime factors of 9377.

The prime factors of 9377 are 7 and 1339.

3.Is 9377 a multiple of 7?

4.Mention the factor pairs of 9377?

(1, 9377) and (7, 1339) are the factor pairs of 9377.

5.What is the square of 9377?

The square of 9377 is 87909329.

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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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.