101 LearnersLast updated on May 26th, 2025
Factors of 1077
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 1077, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1077?
The numbers that divide 1077 evenly are known as factors of 1077.
A factor of 1077 is a number that divides the number without remainder.
The factors of 1077 are 1, 3, 359, and 1077.
Negative factors of 1077: -1, -3, -359, and -1077.
Prime factors of 1077: 3 and 359.
Prime factorization of 1077: 3 × 359.
The sum of factors of 1077: 1 + 3 + 359 + 1077 = 1440
How to Find Factors of 1077?
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 1077. Identifying the numbers which are multiplied to get the number 1077 is the multiplication method.
Step 1: Multiply 1077 by 1, 1077 × 1 = 1077.
Step 2: Check for other numbers that give 1077 after multiplying 3 × 359 = 1077
Therefore, the positive factor pairs of 1077 are: (1, 1077) and (3, 359).
All these factor pairs result in 1077.
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 the simple division method:
Step 1: Divide 1077 by 1, 1077 ÷ 1 = 1077.
Step 2: Continue dividing 1077 by the numbers until the remainder becomes 0.
1077 ÷ 1 = 1077
1077 ÷ 3 = 359
Therefore, the factors of 1077 are: 1, 3, 359, and 1077.
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 1077 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1077 ÷ 3 = 359 359 is a prime number and cannot be divided further.
The prime factors of 1077 are 3 and 359.
The prime factorization of 1077 is: 3 × 359.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1077 is divided by 3 to get 359.
Here, 359 is a prime number and cannot be divided anymore.
So, the prime factorization of 1077 is: 3 × 359.
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 1077: (1, 1077) and (3, 359).
Negative factor pairs of 1077: (-1, -1077) and (-3, -359).
Common Mistakes and How to Avoid Them in Factors of 1077
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 1077, 1 and 1077 are also factors.
Factors of 1077 Examples
Problem 1
There are 3 teams with 1077 points. If the points are equally distributed among the teams, how many points does each team get?
Each team will get 359 points.
Explanation
To distribute the points equally, divide the total points by the number of teams.
1077/3 = 359
Problem 2
A rectangular garden has a length of 359 meters and a total area of 1077 square meters. What is the width of the garden?
3 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1077 = 359 × width
To find the value of the width, divide the area by the length.
1077/359 = width
Width = 3.
Problem 3
There are 1077 books and 3 shelves. How many books will be on each shelf?
Each shelf will have 359 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
1077/3 = 359
FAQs on Factors of 1077
1.What are the factors of 1077?
2.Mention the prime factors of 1077.
3.Is 1077 a multiple of 3?
4.Mention the factor pairs of 1077?
5.What is the square of 1077?
6.How can children in Canada use numbers in everyday life to understand Factors of 1077?
7.What are some fun ways kids in Canada can practice Factors of 1077 with numbers?
8.What role do numbers and Factors of 1077 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1077 skills?
Important Glossaries for Factors of 1077
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1077 are 1, 3, 359, and 1077.
- Prime factors: The factors which are prime numbers. For example, 3 and 359 are prime factors of 1077.
- 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 1077 are (1, 1077) and (3, 359).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number.
- Division method: A method to find factors by dividing the number by integers and identifying divisors that result in a whole number.
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About BrightChamps in Canada
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.
