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Last updated on May 26th, 2025

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Factors of 371

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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 371, how they are used in real life, and tips to learn them quickly.

Factors of 371 for Saudi Students
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What are the Factors of 371?

The numbers that divide 371 evenly are known as factors of 371. A factor of 371 is a number that divides the number without remainder.

 

The factors of 371 are 1, 7, 53, and 371.

 

Negative factors of 371: -1, -7, -53, and -371.

 

Prime factors of 371: 7 and 53.

 

Prime factorization of 371: 7 × 53.

 

The sum of factors of 371: 1 + 7 + 53 + 371 = 432factors of 371

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How to Find Factors of 371?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 371. Identifying the numbers which are multiplied to get the number 371 is the multiplication method.

 

Step 1: Multiply 371 by 1, 371 × 1 = 371.

 

Step 2: Check for other numbers that give 371 after multiplying 7 × 53 = 371

 

Therefore, the positive factor pairs of 371 are: (1, 371) and (7, 53). All these factor pairs result in 371. For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with 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 371 by 1, 371 ÷ 1 = 371.

 

Step 2: Continue dividing 371 by the numbers until the remainder becomes 0.

 

371 ÷ 1 = 371

371 ÷ 7 = 53

 

Therefore, the factors of 371 are: 1, 7, 53, 371.

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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 371 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

371 ÷ 7 = 53

53 ÷ 53 = 1

 

The prime factors of 371 are 7 and 53.

The prime factorization of 371 is: 7 × 53.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

 

Step 1: Firstly, 371 is divided by 7 to get 53.

 

Step 2: 53 is a prime number and cannot be divided further. The prime factorization of 371 is: 7 × 53.

 

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 371: (1, 371) and (7, 53).

 

Negative factor pairs of 371: (-1, -371) and (-7, -53).

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Common Mistakes and How to Avoid Them in Factors of 371

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

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Forgetting the number itself and 1 is a factor

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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 371, 1 and 371 are also factors.

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Factors of 371 Examples

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Problem 1

There are 7 members in a club and 371 tickets for a concert. How will they divide it equally?

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They will get 53 tickets each.

Explanation

To divide the tickets equally, we need to divide the total tickets by the number of members.

371/7 = 53

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Problem 2

A plot is rectangular, the length of the plot is 53 meters and the total area is 371 square meters. Find the width?

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7 meters.

Explanation

To find the width of the plot, we use the formula, Area = length × width

371 = 53 × width

To find the value of width, we need to shift 53 to the left side.

371/53 = width

Width = 7.

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Problem 3

There are 53 boxes and 371 apples. How many apples will be in each box?

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Each box will have 7 apples.

Explanation

To find the apples in each box, divide the total apples by the boxes.

371/53 = 7

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Problem 4

In a school, there are 371 students and 53 groups. How many students are there in each group?

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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.

371/53 = 7

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Problem 5

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

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Each of the shelves has 53 books.

Explanation

Divide total books by shelves.

371/7 = 53

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FAQs on Factors of 371

1.What are the factors of 371?

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2.Mention the prime factors of 371.

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3.Is 371 a multiple of 7?

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4.Mention the factor pairs of 371?

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5.What is the square of 371?

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6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 371?

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7.What are some fun ways kids in Saudi Arabia can practice Factors of 371 with numbers?

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8.What role do numbers and Factors of 371 play in helping children in Saudi Arabia develop problem-solving skills?

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9.How can families in Saudi Arabia create number-rich environments to improve Factors of 371 skills?

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Important Glossaries for Factor of 371

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 371 are 1, 7, 53, and 371.

 

  • Prime factors: The factors which are prime numbers. For example, 7 and 53 are prime factors of 371.

 

  • 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 371 are (1, 371) and (7, 53).

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 371 is 7 × 53.

 

  • Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 371 are -1, -7, -53, and -371.
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About BrightChamps in Saudi Arabia

At BrightChamps, numbers represent more than just digits—they unlock a world of opportunities! Our mission is to help kids across Saudi Arabia develop important math skills, with today’s focus on Factors of 371 highlighting factors—in a lively, fun, and clear manner. Whether your child is calculating the speed of a ride at Al Hokair Land in Riyadh, following scores at local football matches, or managing their allowance for gadgets, understanding numbers boosts their confidence in everyday tasks. Our engaging lessons make learning simple and enjoyable. Since kids in Saudi Arabia learn differently, we customize lessons for each learner. From Riyadh’s busy streets to Jeddah’s historic sites, BrightChamps brings math to life throughout Saudi Arabia. Let’s make factors a fun part of every child’s math experience!
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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.

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Fun Fact

: She loves to read number jokes and games.

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