136 LearnersLast updated on May 26th, 2025
Factors of 869
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 869, how they are used in real life, and tips to learn them quickly.
What are the Factors of 869?
The numbers that divide 869 evenly are known as factors of 869.
A factor of 869 is a number that divides the number without remainder.
The factors of 869 are 1, 11, 79, and 869.
Negative factors of 869: -1, -11, -79, and -869.
Prime factors of 869: 11 and 79.
Prime factorization of 869: 11 × 79.
The sum of factors of 869: 1 + 11 + 79 + 869 = 960
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How to Find Factors of 869?
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 869. Identifying the numbers which are multiplied to get the number 869 is the multiplication method.
Step 1: Multiply 869 by 1, 869 × 1 = 869.
Step 2: Check for other numbers that give 869 after multiplying
11 × 79 = 869
Therefore, the positive factor pairs of 869 are: (1, 869), (11, 79).
All these factor pairs result in 869.
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 simple division method
Step 1: Divide 869 by 1, 869 ÷ 1 = 869.
Step 2: Continue dividing 869 by the numbers until the remainder becomes 0.
869 ÷ 1 = 869
869 ÷ 11 = 79
Therefore, the factors of 869 are: 1, 11, 79, 869.
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 869 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
869 ÷ 11 = 79
79 ÷ 79 = 1
The prime factors of 869 are 11 and 79.
The prime factorization of 869 is: 11 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 869 is divided by 11 to get 79.
Step 2: Now divide 79 by 79 to get 1. Here, 79 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 869 is: 11 × 79.
Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 869: (1, 869), (11, 79).
Negative factor pairs of 869: (-1, -869), (-11, -79).
Common Mistakes and How to Avoid Them in Factors of 869
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 869, 1 and 869 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 869 consist of -1, -11, -79, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 869/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 869 are prime numbers.
For example, 11 and 79 are the prime factors of 869, but it has other factors like 1 and 869.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 869 as 11 × 79 and missing all the key factors.
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Factors of 869 Examples
Problem 1
A group of 11 people are planning a party with 869 balloons. How many balloons will each person get?
Each person will get 79 balloons.
Explanation
To divide the balloons equally, we need to divide the total balloons by the number of people.
869 ÷ 11 = 79
Problem 2
A rectangular garden has a length of 79 meters and an area of 869 square meters. What is the width of the garden?
11 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
869 = 79 × width
To find the value of the width, we need to shift 79 to the left side.
869 ÷ 79 = width
Width = 11.
Problem 3
There are 869 candies and 79 bags. How many candies will be in each bag?
Each bag will have 11 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
869 ÷ 79 = 11
Problem 4
A school has 869 students, and they want to form 11 groups. How many students will there be in each group?
There are 79 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
869 ÷ 11 = 79
Problem 5
869 books need to be stocked in 11 shelves. How many books will go on each shelf?
Each shelf will have 79 books.
Explanation
Divide total books by shelves.
869 ÷ 11 = 79
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FAQs on Factors of 869
1.What are the factors of 869?
2.Mention the prime factors of 869.
3.Is 869 a multiple of 11?
4.Mention the factor pairs of 869?
5.What is the square of 869?
6.How can children in United States use numbers in everyday life to understand Factors of 869?
7.What are some fun ways kids in United States can practice Factors of 869 with numbers?
8.What role do numbers and Factors of 869 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 869 skills?
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Important Glossaries for Factors of 869
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 869 are 1, 11, 79, and 869.
- Prime factors: The factors which are prime numbers. For example, 11 and 79 are prime factors of 869.
- 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 869 are (1, 869) and (11, 79).
- Prime factorization: The process of expressing a number as a product of prime numbers. For example, the prime factorization of 869 is 11 × 79.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 869 are -1, -11, -79, and -869.
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About BrightChamps in United States
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.
