BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 787

Professor Greenline Explaining Math Concepts

Factors are the numbers that divide any given number evenly without a 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 787, how they are used in real life, and tips to learn them quickly.

Factors of 787 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 787?

The numbers that divide 787 evenly are known as factors of 787.

 

A factor of 787 is a number that divides the number without a remainder.

 

The factors of 787 are 1, 787.

 

Negative factors of 787: -1, -787.

 

Since 787 is a prime number, it does not have any other factors besides 1 and itself.

 

The sum of factors of 787: 1 + 787 = 788

Professor Greenline from BrightChamps

How to Find Factors of 787?

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

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 787.

 

However, since 787 is a prime number, it does not have any multiplication pairs other than 1 × 787 = 787.

 

Therefore, the positive factor pairs of 787 are: (1, 787).

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following the simple division method

 

Step 1: Divide 787 by 1, 787 ÷ 1 = 787.

 

Step 2: Check if there are any other numbers that divide 787 evenly. Since 787 is a prime number, no other numbers divide it evenly except 1 and 787.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

For prime numbers like 787, the only prime factors are the number itself. Prime factorization of 787 simply involves recognizing that 787 cannot be divided evenly by any other prime number except itself and 1. Therefore, the prime factorization of 787 is 787.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. However, for a prime number like 787, the factor tree is straightforward.

 

Step 1: Recognize that 787 is a prime number. Since 787 cannot be divided by other primes, the factor tree consists of the number itself: 787.

 

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 787: (1, 787).

 

Negative factor pairs of 787: (-1, -787).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 787

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 787, 1 and 787 are factors.

Max from BrightChamps Saying "Hey"

Factors of 787 Examples

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

Problem 1

There is 1 box and 787 marbles. How will you distribute them?

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

All marbles will go into the single box.

Explanation

To distribute the marbles, we divide the total marbles by the number of boxes.

 

787/1 = 787

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

Problem 2

A bridge is 787 meters long and has only one support pillar. How long is the unsupported span?

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

787 meters.

Explanation

Since the bridge has only one support pillar at one end, the unsupported span is the entire length of the bridge.

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

Problem 3

There are 787 pages in a book and 1 bookmark. How many pages will each bookmark keep track of?

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

The bookmark will keep track of 787 pages.

Explanation

Each bookmark will track the entire book since there is only one bookmark.

 

787/1 = 787

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

Problem 4

A painter has 787 ml of paint to apply evenly in one continuous stroke. How much paint will be applied?

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

787 ml.

Explanation

In one continuous stroke, the entire amount of paint will be used.

 

787/1 = 787

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

Problem 5

An artist has made a single long brushstroke 787 meters long. How long is each stroke?

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

787 meters.

Explanation

The artist made one continuous stroke, which is the entire length.

 

787/1 = 787

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

FAQs on Factors of 787

1.What are the factors of 787?

Math FAQ Answers Dropdown Arrow

2.What is the prime factorization of 787?

Math FAQ Answers Dropdown Arrow

3.Is 787 a multiple of any number other than 1 and itself?

Math FAQ Answers Dropdown Arrow

4.What are the factor pairs of 787?

Math FAQ Answers Dropdown Arrow

5.Is 787 a prime number?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 787?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 787 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 787 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 787 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 787

  • Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 787 are 1 and 787.
     
  • Prime factors: The factors which are prime numbers. For example, 787 itself is a prime factor.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 787 is (1, 787).
     
  • Prime number: A number that has no divisors other than 1 and itself. For example, 787 is a prime number.
     
  • Negative factors: Factors that are negative counterparts of the positive factors. For example, -1 and -787 are negative factors of 787.
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 787 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