101 LearnersLast updated on May 26th, 2025
Factors of -116
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -116, how they are used in real life, and tips to learn them quickly.
What are the Factors of -116?
The numbers that divide -116 evenly are known as factors of -116.
A factor of -116 is a number that divides the number without remainder.
The factors of 116 are 1, 2, 4, 29, 58, and 116.
Negative factors of -116: -1, -2, -4, -29, -58, and -116.
Prime factors of 116: 2 and 29.
Prime factorization of 116: 2² × 29.
The sum of factors of 116: 1 + 2 + 4 + 29 + 58 + 116 = 210
How to Find Factors of -116?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 -116. Identifying the numbers which are multiplied to get the number -116 is the multiplication method.
Step 1: Multiply -116 by 1, -116 × 1 = -116.
Step 2: Check for other numbers that give -116 after multiplying
2 × -58 = -116
4 × -29 = -116
Therefore, the positive factor pairs of -116 are: (1, -116), (2, -58), (4, -29).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 -116 by 1, -116 ÷ 1 = -116.
Step 2: Continue dividing -116 by the numbers until the remainder becomes 0.
-116 ÷ 1 = -116
-116 ÷ 2 = -58
-116 ÷ 4 = -29
Therefore, the factors of -116 are: 1, 2, 4, 29, 58, 116.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 116 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
116 ÷ 2 = 58
58 ÷ 2 = 29
29 ÷ 29 = 1
The prime factors of 116 are 2 and 29.
The prime factorization of 116 is: 2² × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 116 is divided by 2 to get 58.
Step 2: Now divide 58 by 2 to get 29.
Step 3: Divide 29 by 29 to get 1. Here, 29 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 116 is: 2² × 29. 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 -116: (1, -116), (2, -58), (4, -29).
Negative factor pairs of -116: (-1, 116), (-2, 58), (-4, 29).
Common Mistakes and How to Avoid Them in Factors of -116
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 -116, 1 and -116 are also factors.
Factors of -116 Examples
Problem 1
There are 58 students and -116 apples. How many apples will each student get if equally distributed?
Each student will get -2 apples.
Explanation
To divide the apples equally, we need to divide the total apples with the number of students.
-116/58 = -2
Problem 2
A rope is -116 meters long and needs to be cut into 4 equal pieces. What will be the length of each piece?
Each piece will be -29 meters long.
Explanation
To find the length of each piece, divide the total length by the number of pieces.
-116/4 = -29
Problem 3
A debt of -116 dollars is to be divided among 29 people. How much does each person owe?
Each person owes -4 dollars.
Explanation
To find the amount each person owes, divide the total debt by the number of people.
-116/29 = -4
Problem 4
A rectangular garden is -116 square meters, and the width is -2 meters. What is the length?
The length is 58 meters.
Explanation
To find the length, use the formula, Area = length × width -116 = length × -2
To find the value of length, divide -116 by -2. 58 = length
Problem 5
A construction project requires -116 bricks, and each box contains 2 bricks. How many boxes are needed?
58 boxes are needed.
Explanation
Divide the total number of bricks by the number of bricks per box.
-116/2 = -58
FAQs on Factors of -116
1.What are the factors of -116?
2.Mention the prime factors of -116.
3.Is -116 a multiple of 4?
4.Mention the factor pairs of -116?
5.What is the absolute value of -116?
Important Glossaries for Factors of -116
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -116 are 1, 2, 4, 29, 58, and 116.
- Prime factors: The factors which are prime numbers. For example, 2 and 29 are prime factors of -116.
- 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 -116 are (1, -116), (2, -58), etc.
- Negative factors: These are the negative counterparts of the positive factors. For example, -1, -2, -4, -29, -58, and -116 are negative factors of -116.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 116 is 2² × 29.
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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.
