BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 971

Professor Greenline Explaining Math Concepts

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

Factors of 971 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 971?

The numbers that divide 971 evenly are known as factors of 971.

 

A factor of 971 is a number that divides the number without remainder.

 

The factors of 971 are 1 and 971.

 

Negative factors of 971: -1 and -971.

 

Prime factors of 971: 971 (since 971 is a prime number).

 

Prime factorization of 971: 971.

 

The sum of factors of 971: 1 + 971 = 972

Factors of 971

Professor Greenline from BrightChamps

How to Find Factors of 971?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication

     
  • Finding factors using the division method

     
  • Prime factors and prime factorization
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 971. Identifying the numbers which are multiplied to get the number 971 is the multiplication method. Since 971 is a prime number, its only multiplication pair is:

 

Step 1: Multiply 971 by 1, 971 × 1 = 971.

 

Therefore, the only positive factor pair of 971 is: (1, 971).

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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 in whole numbers as factors. Factors can be calculated by following the simple division method -

 

Step 1: Divide 971 by 1, 971 ÷ 1 = 971.

 

Step 2: Check divisibility by other numbers.

 

Since 971 is a prime number, only 1 and 971 divide it without leaving a remainder.

 

Therefore, the factors of 971 are: 1 and 971.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. Since 971 is a prime number, its only prime factor is itself.

 

Using Prime Factorization: In this process, since 971 is prime, it can't be broken down further into other prime factors.

 

The prime factorization of 971 is: 971.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. For a prime number like 971, the factor tree is simple:

 

Step 1: Start with 971, which is already a prime number.

The prime factorization of 971 is: 971.

 

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

 

Positive factor pair of 971: (1, 971).

 

Negative factor pair of 971: (-1, -971).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 971

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 971, 1 and 971 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 971 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

There are 971 apples and 1 basket. How will they be arranged?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

All 971 apples will be in the one basket.

Explanation

To find how apples will be arranged, since there is only one basket, all 971 apples will go into that basket.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A parade has 971 participants and each row has 1 participant. How many rows are there?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 971 rows.

Explanation

To find the number of rows, since each row has 1 participant:

 

971/1 = 971

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A marathon has 971 runners with each runner having their own lane. How many lanes are there?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 971 lanes.

Explanation

Since each runner has their own lane, the number of lanes is equal to the number of runners:

 

971/1 = 971

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A farmer has 971 cages and each cage holds one rabbit. How many rabbits does the farmer have?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The farmer has 971 rabbits.

Explanation

Since each cage holds one rabbit, the number of cages is equal to the number of rabbits:

 

971/1 = 971

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

971 students need to be seated in an auditorium with 1 seat per student. How many seats are needed?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

971 seats are needed.

Explanation

Since each student requires one seat, the number of students equals the number of seats needed:

 

971/1 = 971

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 971

1.What are the factors of 971?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 971.

Math FAQ Answers Dropdown Arrow

3.Is 971 a multiple of 1?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 971?

Math FAQ Answers Dropdown Arrow

5.Is 971 a prime number?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 971?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 971 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 971 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 971 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 971

  • Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of 971 are 1 and 971.

     
  • Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 971 is a prime number.

     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 971 is (1, 971).

     
  • Divisibility: The ability of one number to be divided by another without a remainder. For example, 971 is divisible by 1.

     
  • Multiplication: The process of combining two numbers to get a product. For example, 1 multiplied by 971 gives 971.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 971 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom