BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of -156

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 dividing items equally, arranging things, etc. In this topic, we will learn about the factors of -156, how they are used in real life, and tips to learn them quickly.

Factors of -156 for Omani Students
Professor Greenline from BrightChamps

What are the Factors of -156?

The numbers that divide -156 evenly are known as factors of -156.

 

A factor of -156 is a number that divides the number without leaving a remainder.

 

The positive factors of -156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156.

 

Negative factors of -156: -1, -2, -3, -4, -6, -12, -13, -26, -39, -52, -78, and -156.

 

Prime factors of -156: 2, 3, and 13.

 

Prime factorization of -156: -1 × 2 × 2 × 3 × 13.

 

The sum of the positive factors of 156: 1 + 2 + 3 + 4 + 6 + 12 + 13 + 26 + 39 + 52 + 78 + 156 = 392.

factors of -156

Professor Greenline from BrightChamps

How to Find Factors of -156?

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 -156. Identifying the numbers which are multiplied to get the number -156 is the multiplication method.

 

Step 1: Multiply -156 by 1, -156 × 1 = -156.

 

Step 2: Check for other numbers that give -156 after multiplying

 

2 × -78 = -156

3 × -52 = -156

4 × -39 = -156

6 × -26 = -156

12 × -13 = -156

 

Therefore, the positive factor pairs of -156 are: (1, -156), (2, -78), (3, -52), (4, -39), (6, -26), and (12, -13).

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers by 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 -156 by 1, -156 ÷ 1 = -156.

 

Step 2: Continue dividing -156 by the numbers until the remainder becomes 0.

 

-156 ÷ 1 = -156

-156 ÷ 2 = -78

-156 ÷ 3 = -52

-156 ÷ 4 = -39

-156 ÷ 6 = -26

-156 ÷ 12 = -13

 

Therefore, the factors of -156 are: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.

Professor Greenline from BrightChamps

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 -156 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

-156 ÷ 2 = -78

-78 ÷ 2 = -39

-39 ÷ 3 = -13

-13 ÷ 13 = -1

 

The prime factors of -156 are 2, 3, and 13.

 

The prime factorization of -156 is: -1 × 2 × 2 × 3 × 13.

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, -156 is divided by 2 to get -78.

 

Step 2: Now divide -78 by 2 to get -39.

 

Step 3: Then divide -39 by 3 to get -13. Here, -13 is the smallest prime number, that cannot be divided anymore.

 

So, the prime factorization of -156 is: -1 × 2 × 2 × 3 × 13.

 

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 -156: (1, -156), (2, -78), (3, -52), (4, -39), (6, -26), and (12, -13).

 

Negative factor pairs of -156: (-1, 156), (-2, 78), (-3, 52), (-4, 39), (-6, 26), and (-12, 13).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of -156

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of -156, 1 and -156 are also factors.

Max from BrightChamps Saying "Hey"

Factors of -156 Examples

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

Problem 1

There are 12 apples and -156 grapes. How will they be divided equally among 13 baskets?

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

Each basket will have 1 apple and -12 grapes.

Explanation

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

 

12/13 = 1 apple each -156/13 = -12 grapes each

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

Problem 2

A garden is rectangular, the length of the garden is 13 meters and the total area is -156 square meters. Find the width.

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

-12 meters.

Explanation

To find the width of the garden, we use the formula

 

Area = length × width

 

-156 = 13 × width

 

To find the value of width, we need to shift 13 to the left side.

 

-156/13 = width Width = -12.

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

Problem 3

There are 6 boxes and -156 marbles. How many marbles will be in each box?

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

Each box will have -26 marbles.

Explanation

To find the marbles in each box, divide the total marbles by the number of boxes.

 

-156/6 = -26

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

Problem 4

In an event, there are -156 chairs, and 39 rows. How many chairs are there in each row?

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

There are -4 chairs in each row.

Explanation

Dividing the chairs by the total rows, we will get the number of chairs in each row.

 

-156/39 = -4

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

Problem 5

-156 chocolates need to be arranged in 13 shelves. How many chocolates will go on each shelf?

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

Each shelf will have -12 chocolates.

Explanation

Divide total chocolates by shelves.

 

-156/13 = -12

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

FAQs on Factors of -156

1.What are the factors of -156?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of -156.

Math FAQ Answers Dropdown Arrow

3.Is -156 a multiple of 3?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of -156.

Math FAQ Answers Dropdown Arrow

5.What is the square of -156?

Math FAQ Answers Dropdown Arrow

6.How can children in Oman use numbers in everyday life to understand Factors of -156?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Oman can practice Factors of -156 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of -156 play in helping children in Oman develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Oman create number-rich environments to improve Factors of -156 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of -156

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 13 are prime factors of -156.
     
  • 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 -156 are (1, -156), (2, -78), etc.
     
  • Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of -156 is -1 × 2 × 2 × 3 × 13.
     
  • Negative factors: Factors that are negative numbers. For example, -1, -2, -3, etc., are negative factors of -156.
Professor Greenline from BrightChamps

About BrightChamps in Oman

At BrightChamps, numbers mean more than just digits—they open doors to many opportunities! We’re committed to helping children across Oman build important math skills, with today’s focus on Factors of -156 and a special spotlight on factors—in a lively, clear, and fun way. Whether your child is calculating the speed of a ride at Oman’s Dreamland Aqua Park, keeping score at football matches, or managing their allowance for gadgets, mastering numbers boosts their confidence daily. Our engaging lessons make learning simple and enjoyable. Since kids in Oman learn differently, we adapt lessons to each learner. From Muscat’s vibrant city life to beautiful natural landscapes, BrightChamps makes math come alive across Oman. Let’s turn factors into a fun 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