100 LearnersLast updated on May 26th, 2025
Factors of 878
Factors are the numbers that divide a 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 878, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 878?
The numbers that divide 878 evenly are known as factors of 878.
A factor of 878 is a number that divides the number without remainder.
The factors of 878 are 1, 2, 439, and 878.
Negative factors of 878: -1, -2, -439, and -878.
Prime factors of 878: 2 and 439.
Prime factorization of 878: 2 × 439.
The sum of factors of 878: 1 + 2 + 439 + 878 = 1320
How to Find Factors of 878?
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 878. Identifying the numbers which are multiplied to get the number 878 is the multiplication method.
Step 1: Multiply 878 by 1, 878 × 1 = 878.
9Check for other numbers that give 878 after multiplying:
2 × 439 = 878
Therefore, the positive factor pairs of 878 are: (1, 878) and (2, 439).
All these factor pairs result in 878.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 878 by 1, 878 ÷ 1 = 878.
Step 2: Continue dividing 878 by the numbers until the remainder becomes 0.
878 ÷ 1 = 878
878 ÷ 2 = 439
Therefore, the factors of 878 are: 1, 2, 439, 878.
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 878 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
878 ÷ 2 = 439
439 ÷ 439 = 1
The prime factors of 878 are 2 and 439.
The prime factorization of 878 is: 2 × 439.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 878 is divided by 2 to get 439.
Step 2: As 439 is a prime number, it cannot be divided further. So, the prime factorization of 878 is: 2 × 439.
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 878: (1, 878) and (2, 439).
Negative factor pairs of 878: (-1, -878) and (-2, -439).
Common Mistakes and How to Avoid Them in Factors of 878
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 878, 1 and 878 are also factors.
Factors of 878 Examples
Problem 1
A concert hall can accommodate 878 people. If 2 people sit per row, how many rows are needed?
439 rows.
Explanation
To determine the number of rows, divide the total number of people by the number of people per row.
878/2 = 439
Problem 2
A rectangular garden has an area of 878 square meters and a width of 2 meters. What is the length?
439 meters.
Explanation
To find the length of the garden, use the formula: Area = length × width
878 = length × 2
To find the value of length, divide 878 by 2.
878/2 = length
Length = 439.
Problem 3
There are 878 apples to be packed into 2 baskets equally. How many apples will each basket contain?
Each basket will have 439 apples.
Explanation
To find the apples in each basket, divide the total number of apples by the number of baskets.
878/2 = 439
Problem 4
A classroom has 878 desks arranged in 439 rows. How many desks are in each row?
2 desks in each row.
Explanation
Dividing the total desks by the number of rows gives the number of desks in each row.
878/439 = 2
Problem 5
878 marbles are to be distributed equally among 439 kids. How many marbles will each kid receive?
Each kid will receive 2 marbles.
Explanation
Divide the total marbles by the number of kids.
878/439 = 2
FAQs on Factors of 878
1.What are the factors of 878?
2.Mention the prime factors of 878.
3.Is 878 a multiple of 2?
4.Mention the factor pairs of 878?
5.What is half of 878?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 878?
7.What are some fun ways kids in Vietnam can practice Factors of 878 with numbers?
8.What role do numbers and Factors of 878 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 878 skills?
Important Glossaries for Factors of 878
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 878 are 1, 2, 439, and 878.
- Prime factors: The factors which are prime numbers. For example, 2 and 439 are prime factors of 878.
- 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 878 are (1, 878) and (2, 439).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 878 is 2 × 439.
- Multiples: Numbers which can be divided by another number without a remainder. For example, 878 is a multiple of 2.
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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.
