102 LearnersLast updated on May 26th, 2025
Factors of -77
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 -77, how they are used in real life, and the tips to learn them quickly.
What are the Factors of -77?
The numbers that divide -77 evenly are known as factors of -77.
A factor of -77 is a number that divides the number without remainder.
The factors of 77 are 1, 7, 11, and 77.
Therefore, the positive factors of -77 are 1, 7, 11, and 77.
Negative factors of: -77: -1, -7, -11, and -77.
Prime factors of 77: 7 and 11.
Prime factorization of 77: 7 × 11.
The sum of factors of 77: 1 + 7 + 11 + 77 = 96
How to Find Factors of -77?
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 77. Identifying the numbers which are multiplied to get the number 77 is the multiplication method.
Step 1: Multiply 77 by 1, 77 × 1 = 77.
Step 2: Check for other numbers that give 77 after multiplying 7 × 11 = 77
Therefore, the positive factor pairs of 77 are: (1, 77), (7, 11).
All these factor pairs result in 77.
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 77 by 1, 77 ÷ 1 = 77.
Step 2: Continue dividing 77 by the numbers until the remainder becomes 0.
77 ÷ 1 = 77
77 ÷ 7 = 11
77 ÷ 11 = 7
Therefore, the factors of 77 are: 1, 7, 11, 77.
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 the factor tree
Using Prime Factorization: In this process, prime factors of 77 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 77 are 7 and 11.
The prime factorization of 77 is: 7 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 77 is divided by 7 to get 11.
Step 2: Now divide 11 by 11 to get 1. Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 77 is: 7 × 11.
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 77: (1, 77), (7, 11).
Negative factor pairs of -77: (-1, -77), (-7, -11).
Common Mistakes and How to Avoid Them in Factors of -77
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 word. Always remember to include 1 and the number itself.
For example, in factors of -77, 1 and 77 are also factors.
Factors of -77 Examples
Problem 1
There are 7 teams and 77 people. How will they divide them equally?
They will get 11 people each.
Explanation
To divide the people equally, we need to divide the total people by the number of teams.
77/7 = 11
Problem 2
A garden is rectangular, the width of the garden is 7 meters, and the total area is 77 square meters. Find the length.
11 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 77 = length × 7
To find the value of length, we need to shift 7 to the left side.
77/7 = length
Length = 11.
Problem 3
There are 11 buses and 77 passengers. How many passengers will be in each bus?
Each bus will have 7 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the buses.
77/11 = 7
Problem 4
In a tournament, there are 77 players, and 7 teams. How many players are there in each team?
There are 11 players in each team.
Explanation
Dividing the players by the total teams, we will get the number of players in each team.
77/7 = 11
Problem 5
77 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 11 books.
Explanation
Divide total books by shelves.
77/7 = 11
FAQs on Factors of -77
1.What are the factors of -77?
2.Mention the prime factors of 77.
3.Is 77 a multiple of 7?
4.Mention the factor pairs of -77.
5.What is the square of 77?
6.How can children in Bahrain use numbers in everyday life to understand Factors of -77?
7.What are some fun ways kids in Bahrain can practice Factors of -77 with numbers?
8.What role do numbers and Factors of -77 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of -77 skills?
Important Glossaries for Factor of -77
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -77 are 1, 7, 11, and 77.
- Prime factors: The factors which are prime numbers. For example, 7 and 11 are prime factors of 77.
- 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 -77 are (1, 77) and (7, 11).
- Multiples: Numbers that are the result of multiplying a number by an integer. For example, 77 is a multiple of 7.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 77 is 7 × 11.
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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.
