133 LearnersLast updated on May 26th, 2025
Factors of 879
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 879, how they are used in real life, and tips to learn them quickly.
What are the Factors of 879?
The numbers that divide 879 evenly are known as factors of 879.
A factor of 879 is a number that divides the number without remainder.
The factors of 879 are 1, 3, 293, and 879.
Negative factors of 879: -1, -3, -293, and -879.
Prime factors of 879: 3 and 293.
Prime factorization of 879: 3 × 293.
The sum of factors of 879: 1 + 3 + 293 + 879 = 1176
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How to Find Factors of 879?
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 879. Identifying the numbers which are multiplied to get the number 879 is the multiplication method.
Step 1: Multiply 879 by 1, 879 × 1 = 879.
Step 2: Check for other numbers that give 879 after multiplying
3 × 293 = 879
Therefore, the positive factor pairs of 879 are: (1, 879) and (3, 293).
All these factor pairs result in 879.
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 879 by 1, 879 ÷ 1 = 879.
Step 2: Continue dividing 879 by the numbers until the remainder becomes 0.
879 ÷ 1 = 879
879 ÷ 3 = 293
Therefore, the factors of 879 are: 1, 3, 293, 879.
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 879 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
879 ÷ 3 = 293
293 ÷ 293 = 1
The prime factors of 879 are 3 and 293.
The prime factorization of 879 is: 3 × 293.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 879 is divided by 3 to get 293.
Step 2: Then divide 293 by 293 to get 1. Here, 293 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 879 is: 3 × 293.
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 879: (1, 879) and (3, 293).
Negative factor pairs of 879: (-1, -879) and (-3, -293).
Common Mistakes and How to Avoid Them in Factors of 879
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 879, 1 and 879 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 879 consist of -1, -3, 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 879/1.5 ≈ 586, and it is not 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 879 are prime numbers.
For example, 3 and 293 are the prime factors of 879, but it has other factors like 879 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 879 as 3 × 293 and missing all the key factors.
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Factors of 879 Examples
Problem 1
There are 3 friends and 879 marbles. How will they divide them equally?
They will get 293 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
879/3 = 293
Problem 2
A farmer has a rectangular field, the length of the field is 293 meters and the total area is 879 square meters. Find the width.
3 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
879 = 293 × width
To find the value of width, we need to shift 293 to the left side.
879/293 = width
Width = 3.
Problem 3
There are 879 candies and 1 jar. How many candies will be in the jar?
The jar will have 879 candies.
Explanation
To find the candies in the jar, divide the total candies by the number of jars.
879/1 = 879
Problem 4
In a class, there are 879 students, and 3 groups. How many students are there in each group?
There are 293 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
879/3 = 293
Problem 5
879 books need to be arranged in 1 shelf. How many books will go on the shelf?
The shelf will have 879 books.
Explanation
Divide total books by shelves.
879/1 = 879
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FAQs on Factors of 879
1.What are the factors of 879?
2.Mention the prime factors of 879.
3.Is 879 a multiple of 3?
4.Mention the factor pairs of 879?
5.What is the square of 879?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 879?
7.What are some fun ways kids in Vietnam can practice Factors of 879 with numbers?
8.What role do numbers and Factors of 879 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 879 skills?
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Important Glossaries for Factors of 879
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 879 are 1, 3, 293, and 879.
- Prime factors: The factors which are prime numbers. For example, 3 and 293 are prime factors of 879.
- 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 879 are (1, 879) and (3, 293).
- Prime factorization: Breaking down a number into the product of its prime factors. For 879, it is 3 × 293.
- Division method: A method used to find factors by dividing the number by integers to see which ones result in whole numbers without 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.
