102 LearnersLast updated on May 26th, 2025
Factors of 877
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 877, how they are used in real life, and tips to learn them quickly.
What are the Factors of 877?
The numbers that divide 877 evenly are known as factors of 877.
A factor of 877 is a number that divides the number without remainder.
The factors of 877 are 1, 19, 46, and 877.
Negative factors of 877: -1, -19, -46, and -877.
Prime factors of 877: 19 and 46.
Prime factorization of 877: 19 × 46.
The sum of factors of 877: 1 + 19 + 46 + 877 = 943
How to Find Factors of 877?
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 877. Identifying the numbers which are multiplied to get the number 877 is the multiplication method.
Step 1: Multiply 877 by 1, 877 × 1 = 877.
Step 2: Check for other numbers that give 877 after multiplying
19 × 46 = 877
Therefore, the positive factor pairs of 877 are: (1, 877) and (19, 46).
All these factor pairs result in 877.
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 877 by 1, 877 ÷ 1 = 877.
Step 2: Continue dividing 877 by the numbers until the remainder becomes 0.
877 ÷ 1 = 877
877 ÷ 19 = 46
Therefore, the factors of 877 are: 1, 19, 46, 877.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 877 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
877 ÷ 19 = 46
46 ÷ 2 = 23
23 is a prime number. The prime factors of 877 are 19 and 46. The prime factorization of 877 is: 19 × 46.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 877 is divided by 19 to get 46.
Step 2: Now divide 46 by 2 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 877 is: 19 × 46.
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 877: (1, 877), (19, 46).
Negative factor pairs of 877: (-1, -877), (-19, -46).
Common Mistakes and How to Avoid Them in Factors of 877
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 877, 1 and 877 is also a factor.
Factors of 877 Examples
Problem 1
There are 19 students and 877 questions. How will they divide the questions equally?
They will get 46 questions each.
Explanation
To divide the questions equally, we need to divide the total questions by the number of students.
877/19 = 46
Problem 2
A field is rectangular, the length of the field is 46 meters and the total area is 877 square meters. Find the width?
19 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
877 = 46 × width
To find the value of width, we need to shift 46 to the left side.
877/46 = width
Width = 19.
Problem 3
There are 23 clubs and 877 students. How many students will be in each club?
Each club will have 38 students.
Explanation
To find the students in each club, divide the total students by the number of clubs.
877/23 = 38
Problem 4
In a project, there are 877 tasks, and 19 teams. How many tasks are there for each team?
There are 46 tasks in each team.
Explanation
Dividing the tasks by the total teams, we will get the number of tasks in each team.
877/19 = 46
Problem 5
877 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 46 books.
Explanation
Divide total books by shelves.
877/19 = 46
FAQs on Factors of 877
1.What are the factors of 877?
2.Mention the prime factors of 877.
3.Is 877 a multiple of 23?
4.Mention the factor pairs of 877?
5.What is the square of 877?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 877?
7.What are some fun ways kids in Vietnam can practice Factors of 877 with numbers?
8.What role do numbers and Factors of 877 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 877 skills?
Important Glossaries for Factor of 877
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 877 are 1, 19, 46, and 877.
- Prime factors: The factors which are prime numbers. For example, 19 and 46 are prime factors of 877.
- 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 877 are (1, 877) and (19, 46).
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the target number.
- Division method: A method for finding factors by dividing the target number by whole numbers to see which divisions leave no remainder.
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About BrightChamps in Vietnam
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.
