121 LearnersLast updated on May 26th, 2025
Factors of -136
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 -136, how they are used in real life, and the tips to learn them quickly.
What are the Factors of -136?
The numbers that divide -136 evenly are known as factors of -136.
A factor of -136 is a number that divides the number without a remainder.
The factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.
Negative factors of -136: -1, -2, -4, -8, -17, -34, -68, and -136.
Prime factors of 136: 2 and 17.
Prime factorization of 136: 23 × 17.
The sum of factors of 136: 1 + 2 + 4 + 8 + 17 + 34 + 68 + 136 = 270
How to Find Factors of -136?
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 136. Identifying the numbers which are multiplied to get the number 136 is the multiplication method.
Step 1: Multiply 136 by 1, 136 × 1 = 136.
Step 2: Check for other numbers that give 136 after multiplying 2 × 68 = 136 4 × 34 = 136 8 × 17 = 136
Therefore, the positive factor pairs of 136 are: (1, 136), (2, 68), (4, 34), (8, 17).
All these factor pairs result in 136.
For every positive factor, there is a 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 136 by 1, 136 ÷ 1 = 136.
Step 2: Continue dividing 136 by the numbers until the remainder becomes 0.
136 ÷ 1 = 136
136 ÷ 2 = 68
136 ÷ 4 = 34
136 ÷ 8 = 17
Therefore, the factors of 136 are: 1, 2, 4, 8, 17, 34, 68, 136.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 136 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
The prime factors of 136 are 2 and 17.
The prime factorization of 136 is: 2^3 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 136 is divided by 2 to get 68.
Step 2: Now divide 68 by 2 to get 34. Step 3: Then divide 34 by 2 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 136 is: 23 × 17.
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 136: (1, 136), (2, 68), (4, 34), and (8, 17).
Negative factor pairs of -136: (-1, -136), (-2, -68), (-4, -34), and (-8, -17).
Common Mistakes and How to Avoid Them in Factors of -136
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
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 136, 1 and 136 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of -136 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 136/1.5 = 90.6667, 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 136 are prime numbers.
For example, 2 and 17 are the prime factors of 136, but it has other factors like 4, 34.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 136 as 2^3 × 17 and missing all the key factors.
Factors of -136 Examples
Problem 1
A team has 8 players and 136 points to distribute. How many points will each player receive equally?
Each player will receive 17 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of players.
136/8 = 17
Problem 2
A rectangular garden has a length of 17 meters and a total area of 136 square meters. What is the width of the garden?
8 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
136 = 17 × width
To find the value of the width, we need to shift 17 to the left side.
136/17 = width
Width = 8.
Problem 3
There are 68 chairs and 136 people. How many people will be seated on each chair if distributed equally?
Each chair will have 2 people.
Explanation
To find the people on each chair, divide the total people by the chairs.
136/68 = 2
Problem 4
In a class, there are 136 students and 4 groups. How many students are there in each group?
There are 34 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
136/4 = 34
Problem 5
136 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 68 books.
Explanation
Divide total books by shelves.
136/2 = 68
FAQs on Factors of -136
1.What are the factors of -136?
2.Mention the prime factors of 136.
3.Is 136 a multiple of 4?
4.Mention the factor pairs of 136?
5.What is the square of 136?
6.How can children in Thailand use numbers in everyday life to understand Factors of -136?
7.What are some fun ways kids in Thailand can practice Factors of -136 with numbers?
8.What role do numbers and Factors of -136 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of -136 skills?
Important Glossaries for Factors of -136
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.
- Prime factors: The factors which are prime numbers. For example, 2 and 17 are prime factors of 136.
- 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 136 are (1, 136), (2, 68), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 136 is 23 × 17.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of -136 include -1, -2, -4, etc.
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About BrightChamps in Thailand
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.
