Factors of -136
2026-02-28 13:18 Diff

274 Learners

Last updated on December 12, 2025

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.

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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 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: 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.

Problem 1

A team has 8 players and 136 points to distribute. How many points will each player receive equally?

Okay, lets begin

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

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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?

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 68 chairs and 136 people. How many people will be seated on each chair if distributed equally?

Okay, lets begin

Each chair will have 2 people.

Explanation

To find the people on each chair, divide the total people by the chairs.

136/68 = 2

Well explained 👍

Problem 4

In a class, there are 136 students and 4 groups. How many students are there in each group?

Okay, lets begin

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

Well explained 👍

Problem 5

136 books need to be arranged in 2 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 68 books.

Explanation

Divide total books by shelves.

136/2 = 68

Well explained 👍

FAQs on Factors of -136

1.What are the factors of -136?

1, 2, 4, 8, 17, 34, 68, 136 are the factors of 136.

2.Mention the prime factors of 136.

The prime factors of 136 are 2^3 × 17.

3.Is 136 a multiple of 4?

4.Mention the factor pairs of 136?

(1, 136), (2, 68), (4, 34), and (8, 17) are the factor pairs of 136.

5.What is the square of 136?

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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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.