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Last updated on May 26th, 2025

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Factors of -189

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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 -189, how they are used in real life, and tips to learn them quickly.

Factors of -189 for Omani Students
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What are the Factors of -189?

The numbers that divide -189 evenly are known as factors of -189.

 

A factor of -189 is a number that divides the number without remainder.

 

The factors of -189 are 1, 3, 7, 9, 21, 27, 63, and 189.

 

Negative factors of -189: -1, -3, -7, -9, -21, -27, -63, and -189.

 

Prime factors of -189: 3 and 7.

 

Prime factorization of -189: -1 × 3³ × 7.

 

The sum of the positive factors of 189: 1 + 3 + 7 + 9 + 21 + 27 + 63 + 189 = 320.

factors of -189

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How to Find Factors of -189?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -189. Identifying the numbers which are multiplied to get the number -189 is the multiplication method.

 

Step 1: Multiply -189 by -1, -189 × -1 = 189.

 

Step 2: Check for other numbers that give -189 after multiplying:

 

3 × -63 = -189

7 × -27 = -189

9 × -21 = -189

 

Therefore, the positive factor pairs of -189 are: (1, -189), (3, -63), (7, -27), (9, -21).

 

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with 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 -189 by 1, -189 ÷ 1 = -189.

 

Step 2: Continue dividing -189 by the numbers until the remainder becomes 0.

 

-189 ÷ 1 = -189

-189 ÷ 3 = -63

-189 ÷ 7 = -27

-189 ÷ 9 = -21

 

Therefore, the factors of -189 are: 1, 3, 7, 9, 21, 27, 63, 189.

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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 -189 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

-189 ÷ -1 = 189

189 ÷ 3 = 63

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

 

The prime factors of -189 are 3 and 7.

 

The prime factorization of -189 is: -1 × 3³ × 7.

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Factor Tree

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

 

Step 1: Firstly, 189 is divided by 3 to get 63.

 

Step 2: Now divide 63 by 3 to get 21.

 

Step 3: Then divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.

 

So, the prime factorization of -189 is: -1 × 3³ × 7.

 

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 -189: (1, -189), (3, -63), (7, -27), and (9, -21).

 

Negative factor pairs of -189: (-1, 189), (-3, 63), (-7, 27), and (-9, 21).

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Common Mistakes and How to Avoid Them in Factors of -189

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

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Forgetting the number itself and 1 is a factor

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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 -189, 1 and -189 are also factors.

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Factors of -189 Examples

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Problem 1

There are 9 teams, and -189 points need to be distributed evenly among them. How many points will each team receive?

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Each team will receive -21 points.

Explanation

To distribute the points equally, divide the total points by the number of teams.

 

-189/9 = -21

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Problem 2

A rope is 189 meters long and needs to be cut into equal pieces of 7 meters each. How many pieces will there be?

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27 pieces.

Explanation

To find the number of pieces, divide the total length by the length of each piece.

 

189/7 = 27

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Problem 3

An art gallery has -189 paintings that need to be displayed in 3 wings. How many paintings will be in each wing?

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Each wing will have -63 paintings.

Explanation

To find the number of paintings in each wing, divide the total paintings by the wings.

 

-189/3 = -63

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Problem 4

There are 27 boxes and -189 items. How many items will be in each box?

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Each box will have -7 items.

Explanation

Dividing the items by the total boxes, we will get the number of items in each box.

 

-189/27 = -7

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Problem 5

A theater has 21 rows and needs to arrange -189 seats. How many seats will be in each row?

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Each row will have -9 seats.

Explanation

Divide the total seats by rows.

 

-189/21 = -9

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FAQs on Factors of -189

1.What are the factors of -189?

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2.Mention the prime factors of -189.

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3.Is -189 a multiple of 9?

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4.Mention the factor pairs of -189?

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5.What is the absolute value of -189?

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6.How can children in Oman use numbers in everyday life to understand Factors of -189?

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7.What are some fun ways kids in Oman can practice Factors of -189 with numbers?

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8.What role do numbers and Factors of -189 play in helping children in Oman develop problem-solving skills?

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9.How can families in Oman create number-rich environments to improve Factors of -189 skills?

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Important Glossaries for Factors of -189

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -189 are 1, 3, 7, 9, 21, 27, 63, and 189.
     
  • Prime factors: The factors which are prime numbers. For example, 3 and 7 are prime factors of -189.
     
  • 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 -189 are (1, -189), (3, -63), etc.
     
  • Multiplication method: A technique used to find factors by identifying pairs of numbers that multiply to give a specific number.
     
  • Division method: A technique used to find factors by dividing a number by various whole numbers to see which divisions yield no remainder.
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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 -189 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!
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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.

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Fun Fact

: She loves to read number jokes and games.

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