118 LearnersLast updated on May 26th, 2025
Factors of -128
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 -128, how they are used in real life, and tips to learn them quickly.
What are the Factors of -128?
The numbers that divide -128 evenly are known as factors of -128. A factor of -128 is a number that divides the number without remainder.
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128.
Therefore, the factors of -128 include both the positive and negative versions:
Positive Factors: 1, 2, 4, 8, 16, 32, 64, 128
Negative Factors: -1, -2, -4, -8, -16, -32, -64, and -128.
Prime factors of 128: 2.
Prime factorization of 128: 27
The sum of positive factors of 128: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255.
How to Find Factors of -128?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -128. Identifying the numbers which are multiplied to get the number -128 is the multiplication method.
Step 1: Multiply -128 by 1, -128 × 1 = -128.
Step 2: Check for other numbers that give -128 after multiplying:
2 × -64 = -128
4 × -32 = -128
8 × -16 = -128
Therefore, the positive factor pairs of -128 are: (1, 128), (2, 64), (4, 32), (8, 16). All these factor pairs result in 128. For every positive factor, there is a corresponding negative factor.
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 -128 by 1, -128 ÷ 1 = -128.
Step 2: Continue dividing -128 by the numbers until the remainder becomes 0.
- -128 ÷ 1 = -128
- -128 ÷ 2 = -64
- -128 ÷ 4 = -32
- -128 ÷ 8 = -16
Therefore, the factors of -128 are: -128, -1, -2, -4, -8, -16, -32, -64, -128.
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 128 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
The prime factor of 128: 2.
The prime factorization of 128: 27.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 128 is divided by 2 to get 64.
Step 2: Now divide 64 by 2 to get 32.
Step 3: Then divide 32 by 2 to get 16.
Step 4: Divide 16 by 2 to get 8.
Step 5: Divide 8 by 2 to get 4.
Step 6: Divide 4 by 2 to get 2. Here, 2 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 128 is: 2^7.
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 -128: (1, -128), (2, -64), (4, -32), (8, -16).
Negative factor pairs of -128: (-1, 128), (-2, 64), (-4, 32), (-8, 16).
Common Mistakes and How to Avoid Them in Factors of -128
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
Forgetting the number itself and 1 is a factor
People 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 -128, 1 and -128 are also factors.
Mistake 2
Missing Negative Factors
We have used to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of -128 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
People might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because -128/1.5 = -85.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 128 are prime numbers. For instance, 2 is the prime factor of 128, but it has other factors like 4, 16.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 128 as 2^7 and missing all the key factors.
Factors of -128 Examples
Problem 1
There are 8 teams and -128 points. How will the points be divided equally?
Each team will have -16 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
-128/8 = -16
Problem 2
A building's height is -128 feet, and each floor is 16 feet. How many floors are there?
There are 8 floors.
Explanation
To find the number of floors, we use the formula:
Height = number of floors × height of each floor
-128 = number of floors × 16
To find the number of floors, divide the total height by the height of each floor.
-128/16 = number of floors
Number of floors = 8.
Problem 3
There are 16 bags, and -128 marbles. How many marbles will be in each bag?
Each bag will have -8 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
-128/16 = -8
Problem 4
In a factory, there are -128 products and 4 sections. How many products are there in each section?
There are -32 products in each section.
Explanation
Dividing the products by the total sections, we will get the number of products in each section.
-128/4 = -32
Problem 5
-128 files need to be distributed into 32 folders. How many files will go into each folder?
Each folder will have -4 files.
Explanation
Divide total files by folders.
-128/32 = -4
FAQs on Factors of -128
1.What are the factors of -128?
2.Mention the prime factors of 128.
3.Is -128 a multiple of 4?
4.Mention the factor pairs of -128.
5.What is the cube of -128?
6.How can children in Bahrain use numbers in everyday life to understand Factors of -128?
7.What are some fun ways kids in Bahrain can practice Factors of -128 with numbers?
8.What role do numbers and Factors of -128 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of -128 skills?
Important Glossaries for Factors of -128
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -128 are 1, 2, 4, 8, 16, 32, 64, 128, -1, -2, -4, -8, -16, -32, -64, -128.
- Prime factors: The factors which are prime numbers. For example, 2 is the prime factor of 128.
- 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 -128 are (1, -128), (2, -64), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 128 is 27.
- Negative factors: These are factors of a number that are negative. For example, the negative factors of -128 include -1, -2, -4, etc.
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About BrightChamps in Bahrain
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.
Fun Fact
: She loves to read number jokes and games.
