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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 790

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

Factors of 790 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 790?

The numbers that divide 790 evenly are known as factors of 790.

 

factor of 790 is a number that divides the number without remainder.

 

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790.

 

Negative factors of 790: -1, -2, -5, -10, -79, -158, -395, and -790.

 

Prime factors of 790: 2, 5, and 79.

 

Prime factorization of 790: 2 × 5 × 79.

 

The sum of factors of 790: 1 + 2 + 5 + 10 + 79 + 158 + 395 + 790 = 1440

Professor Greenline from BrightChamps

How to Find Factors of 790?

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 790. Identifying the numbers which are multiplied to get the number 790 is the multiplication method.

 

Step 1: Multiply 790 by 1, 790 × 1 = 790.

 

Step 2: Check for other numbers that give 790 after multiplying

2 × 395 = 790

5 × 158 = 790

10 × 79 = 790

 

Therefore, the positive factor pairs of 790 are: (1, 790), (2, 395), (5, 158), (10, 79).

 

All these factor pairs result in 790.

 

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 as whole numbers as factors. Factors can be calculated by following a simple division method

 

Step 1: Divide 790 by 1, 790 ÷ 1 = 790.

 

Step 2: Continue dividing 790 by the numbers until the remainder becomes 0.

790 ÷ 1 = 790

790 ÷ 2 = 395

790 ÷ 5 = 158

790 ÷ 10 = 79

 

Therefore, the factors of 790 are: 1, 2, 5, 10, 79, 158, 395, 790.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing them 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 790 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

790 ÷ 2 = 395

395 ÷ 5 = 79

79 ÷ 79 = 1

 

The prime factors of 790 are 2, 5, and 79.

 

The prime factorization of 790 is: 2 × 5 × 79.

Professor Greenline from BrightChamps

Factor Tree

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

 

Step 1: Firstly, 790 is divided by 2 to get 395.

 

Step 2: Now divide 395 by 5 to get 79.

 

Step 3: 79 is a prime number that cannot be divided anymore. So, the prime factorization of 790 is: 2 × 5 × 79.

 

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 790: (1, 790), (2, 395), (5, 158), and (10, 79).

 

Negative factor pairs of 790: (-1, -790), (-2, -395), (-5, -158), and (-10, -79).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 790

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 790, 1 and 790 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 790 Examples

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

Problem 1

There are 790 apples and 10 baskets. How many apples will go in each basket?

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

Each basket will have 79 apples.

Explanation

To divide the apples equally, we need to divide the total apples by the number of baskets.

 

790/10 = 79

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

Problem 2

A room is 5 meters wide and has a total area of 790 square meters. Find the length of the room.

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

158 meters.

Explanation

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

790 = 5 × length

To find the value of length, we need to shift 5 to the left side.

790/5 = length

Length = 158.

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

Problem 3

There are 395 chairs and each row has 2 chairs. How many rows are there?

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

There are 197.5 rows, but since we can't have a half row, it indicates a problem with the arrangement.

Explanation

To find the number of rows, divide the total chairs by the number of chairs per row.

395/2 = 197.5

Since we can't have half a row, the arrangement needs adjustment.

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

Problem 4

In a class, there are 790 students, and 79 groups. How many students are there in each group?

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

There are 10 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

790/79 = 10

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

Problem 5

790 books need to be arranged on 5 shelves. How many books will go on each shelf?

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

Each of the shelves has 158 books.

Explanation

Divide total books by shelves.

790/5 = 158

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

FAQs on Factors of 790

1.What are the factors of 790?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 790.

Math FAQ Answers Dropdown Arrow

3.Is 790 a multiple of 10?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 790?

Math FAQ Answers Dropdown Arrow

5.What is the square of 790?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 790?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 790 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 790 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 790 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 790

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 79 are prime factors of 790.

 

  • 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 790 are (1, 790), (2, 395), etc.

 

  • Multiplication method: A way of finding factors by identifying pairs of numbers that multiply to the original number.

 

  • Division method: A technique to find factors by dividing the number by whole numbers until the remainder is zero.
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 790 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