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Last updated on May 26th, 2025

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Factors of -32

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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 -32, how they are used in real life, and tips to learn them quickly.

Factors of -32 for Vietnamese Students
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What are the Factors of -32?

The numbers that divide -32 evenly are known as factors of -32.

 

A factor of -32 is a number that divides the number without remainder.

 

The positive factors of 32 are 1, 2, 4, 8, 16, and 32.

 

Therefore, the factors of -32 include both positive and negative factors: 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, and -32.

 

Prime factors of 32: 2.

 

Prime factorization of 32: 2⁔.

 

The sum of positive factors of 32: 1 + 2 + 4 + 8 + 16 + 32 = 63.

factors of -32

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How to Find Factors of -32?

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 -32. Identifying the numbers which are multiplied to get the number -32 is the multiplication method.

 

Step 1: Multiply -32 by -1, -32 × -1 = 32.

 

Step 2: Check for other numbers that give -32 after multiplying 1 × -32 = -32 2 × -16 = -32 4 × -8 = -32

 

Therefore, the factor pairs of -32 are: (-1, 32), (-2, 16), (-4, 8), and their negative counterparts.

 

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 -32 by -1, -32 ÷ -1 = 32.

 

Step 2: Continue dividing -32 by the numbers until the remainder becomes 0.

 

-32 ÷ -1 = 32

-32 ÷ 1 = -32

-32 ÷ -2 = 16

-32 ÷ 2 = -16

-32 ÷ -4 = 8

-32 ÷ 4 = -8

 

Therefore, the factors of -32 are: 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32.

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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 a factor tree

 

Using Prime Factorization: In this process, prime factors of 32 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

 

The prime factor of 32 is 2.

 

The prime factorization of 32 is: 2⁔.

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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, 32 is divided by 2 to get 16.

 

Step 2: Now divide 16 by 2 to get 8.

 

Step 3: Then divide 8 by 2 to get 4.

 

Step 4: Divide 4 by 2 to get 2. Here, 2 is the smallest prime number, that cannot be divided anymore.

 

So, the prime factorization of 32 is: 2⁔.

 

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 32: (1, 32), (2, 16), and (4, 8).

 

Negative factor pairs of -32: (-1, -32), (-2, -16), and (-4, -8).

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Common Mistakes and How to Avoid Them in Factors of -32

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

 

For example, in factors of -32, 1 and -32 are also factors.

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Factors of -32 Examples

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Problem 1

There are 4 boxes and -32 apples. How will they distribute the apples equally?

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Each box will have -8 apples.

Explanation

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

-32/4 = -8

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Max, the Girl Character from BrightChamps

Problem 2

A construction project requires -32 beams, and each truck can carry 8 beams. How many trucks are needed?

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4 trucks are needed.

Explanation

To find the number of trucks required, divide the total beams by the capacity of each truck.

-32/8 = -4 (Considering the absolute value, 4 trucks are needed).

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Problem 3

A recipe requires -32 grams of sugar and is divided into 4 equal portions. How many grams are in each portion?

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Each portion will have -8 grams of sugar.

Explanation

To find the sugar in each portion, divide the total grams by the number of portions.

-32/4 = -8

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Problem 4

In a project, -32 tasks are to be completed by 8 teams. How many tasks will each team handle?

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Each team will handle -4 tasks.

Explanation

Dividing the tasks by the total teams, we will get the number of tasks each team will handle.

-32/8 = -4

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Problem 5

There are -32 chairs to be arranged in 4 rows. How many chairs will go in each row?

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Each row will have -8 chairs.

Explanation

Divide the total chairs by the number of rows.

-32/4 = -8

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FAQs on Factors of -32

1.What are the factors of -32?

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2.Mention the prime factors of 32.

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3.Is 32, a multiple of 4?

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4.Mention the factor pairs of -32?

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5.What is the square of -32?

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6.How can children in Vietnam use numbers in everyday life to understand Factors of -32?

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7.What are some fun ways kids in Vietnam can practice Factors of -32 with numbers?

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8.What role do numbers and Factors of -32 play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve Factors of -32 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of -32

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -32 are 1, 2, 4, 8, 16, and 32, including their negative counterparts.

 

  • Prime factors: The factors which are prime numbers. For example, 2 is the prime factor of 32.

 

  • 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 -32 are (-1, -32), (-2, -16), etc.

 

  • Negative factors: Factors of a number that are negative. For example, -1, -2, -4, -8, -16, and -32 are negative factors of -32.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 32 is 2⁔.
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About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of -32 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning 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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