BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on June 2nd, 2025

Math Whiteboard Illustration

Factors of 3907

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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 3907, how they are used in real life, and the tips to learn them quickly.

Factors of 3907 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 3907?

The numbers that divide 3907 evenly are known as factors of 3907.

 

A factor of 3907 is a number that divides the number without remainder.

 

The factors of 3907 are 1 and 3907.

 

Negative factors of 3907: -1 and -3907.

 

Prime factors of 3907: 3907 (since 3907 is a prime number).

 

The sum of factors of 3907: 1 + 3907 = 3908

 

factors of 3907

Professor Greenline from BrightChamps

How to Find Factors of 3907?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

Since 3907 is a prime number, its only multiplication factor pair is 1 and itself.

Therefore, the only factor pair is (1, 3907).

Professor Greenline from BrightChamps

Finding Factors Using Division Method

To determine the factors of 3907, divide the number by whole numbers and see if the remainder is zero.

 

Step 1: Divide 3907 by 1, 3907 ÷ 1 = 3907.

 

Step 2: Check for divisibility by numbers up to the square root of 3907.

3907 ÷ 1 = 3907 (no remainder)

3907 ÷ 3907 = 1 (no remainder)

Therefore, the factors of 3907 are: 1 and 3907.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Since 3907 is a prime number, it does not have any prime factors other than itself. Therefore, there is no breakdown for prime factorization.

The prime factor of 3907 is 3907 itself.

Professor Greenline from BrightChamps

Factor Tree

A factor tree is not applicable in this case because 3907 is a prime number and cannot be broken down further into other prime factors.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 3907

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

People 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 3907, 1 and 3907 are factors.

Max from BrightChamps Saying "Hey"

Factors of 3907 Examples

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

Problem 1

A treasure chest contains 3907 gold coins and needs to be equally divided among 1 pirate. How many coins will each pirate get?

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

Each pirate will get 3907 coins.

Explanation

To divide the coins equally, we need to divide the total coins by the number of pirates.

3907/1 = 3907

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

Problem 2

A rare artifact weighs 3907 grams and needs to be split into two identical parts. Can this be done evenly?

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

No, it cannot be split evenly into two identical parts.

Explanation

Since 3907 is a prime number, it cannot be divided evenly by any number other than 1 and 3907 itself.

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

Problem 3

A scientist has 3907 samples and wants to distribute them into groups of 1. How many groups will there be?

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

There will be 3907 groups.

Explanation

To find the number of groups, divide the total samples by the number per group.

3907/1 = 3907

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

Problem 4

A unique book has 3907 pages, and a reader wants to read 1 page per day. How many days will it take to finish the book?

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

It will take 3907 days.

Explanation

Dividing the total pages by the pages read per day gives the total reading days.

3907/1 = 3907

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

FAQs on Factors of 3907

1.What are the factors of 3907?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 3907.

Math FAQ Answers Dropdown Arrow

3.Is 3907 a multiple of any number other than 1 and itself?

Math FAQ Answers Dropdown Arrow

4.Can 3907 be evenly divided into smaller parts?

Math FAQ Answers Dropdown Arrow

5.What is the square of 3907?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 3907

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3907 are 1 and 3907.

 

  • Prime factors: A number that has no divisors other than 1 and itself. 3907 is a prime number.

 

  • Prime number: A number greater than 1 that has no divisors other than 1 and itself.

 

  • Division method: A method to find factors by dividing the number by whole numbers to find divisors.

 

  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For 3907, it is (1, 3907).
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