100 LearnersLast updated on May 26th, 2025
Factors of 1277
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 1277, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1277?
The numbers that divide 1277 evenly are known as factors of 1277.
A factor of 1277 is a number that divides the number without remainder.
The factors of 1277 are 1, 7, 181, and 1277.
Negative factors of 1277: -1, -7, -181, and -1277.
Prime factors of 1277: 7 and 181.
Prime factorization of 1277: 7 × 181.
The sum of factors of 1277: 1 + 7 + 181 + 1277 = 1466
How to Find Factors of 1277?
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 1277. Identifying the numbers which are multiplied to get the number 1277 is the multiplication method.
Step 1: Multiply 1277 by 1, 1277 × 1 = 1277.
Step 2: Check for other numbers that give 1277 after multiplying
7 × 181 = 1277
Therefore, the positive factor pairs of 1277 are: (1, 1277) and (7, 181).
All these factor pairs result in 1277.
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 1277 by 1, 1277 ÷ 1 = 1277.
Step 2: Continue dividing 1277 by the numbers until the remainder becomes 0.
1277 ÷ 1 = 1277
1277 ÷ 7 = 181
Therefore, the factors of 1277 are: 1, 7, 181, and 1277.
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 1277 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1277 ÷ 7 = 181
181 ÷ 181 = 1
The prime factors of 1277 are 7 and 181.
The prime factorization of 1277 is: 7 × 181.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1277 is divided by 7 to get 181.
Step 2: Now divide 181 by 181 to get 1.
Here, 181 is the smallest prime number, and it cannot be divided anymore.
So, the prime factorization of 1277 is: 7 × 181.
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 1277: (1, 1277) and (7, 181).
Negative factor pairs of 1277: (-1, -1277) and (-7, -181).
Common Mistakes and How to Avoid Them in Factors of 1277
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 1277, 1 and 1277 are also factors.
Factors of 1277 Examples
Problem 1
There are 7 teams and 1277 points to be distributed equally. How many points will each team receive?
Each team will receive 181 points.
Explanation
To distribute the points equally, divide the total points by the number of teams.
1277/7 = 181
Problem 2
A rectangular plot has a length of 7 meters and a total area of 1277 square meters. Find the width?
181 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1277 = 7 × width
To find the value of width, divide 1277 by 7.
1277/7 = width
Width = 181.
Problem 3
There are 181 boxes and 1277 items. How many items will be in each box?
Each box will have 7 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1277/181 = 7
Problem 4
In a class, there are 1277 students, and 7 groups. How many students are there in each group?
There are 181 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1277/7 = 181
Problem 5
1277 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 181 books.
Explanation
Divide total books by shelves.
1277/7 = 181
FAQs on Factors of 1277
1.What are the factors of 1277?
2.Mention the prime factors of 1277.
3.Is 1277 a multiple of 7?
4.Mention the factor pairs of 1277?
5.What is the square of 1277?
Important Glossaries for Factors of 1277
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1277 are 1, 7, 181, and 1277.
- Prime factors: The factors which are prime numbers. For example, 7 and 181 are prime factors of 1277.
- 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 1277 are (1, 1277) and (7, 181).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1277 is 7 × 181.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 1277 are -1, -7, -181, and -1277.
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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.
