111 LearnersLast updated on May 26th, 2025
Factors of 842
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 842, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 842?
The numbers that divide 842 evenly are known as factors of 842.
A factor of 842 is a number that divides the number without remainder.
The factors of 842 are 1, 2, 421, and 842.
Negative factors of 842: -1, -2, -421, and -842.
Prime factors of 842: 2 and 421.
Prime factorization of 842: 2 × 421.
The sum of factors of 842: 1 + 2 + 421 + 842 = 1266
How to Find Factors of 842?
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 842. Identifying the numbers which are multiplied to get the number 842 is the multiplication method.
Step 1: Multiply 842 by 1, 842 × 1 = 842.
Step 2: Check for other numbers that give 842 after multiplying
2 × 421 = 842
Therefore, the positive factor pairs of 842 are: (1, 842), (2, 421).
All these factor pairs result in 842.
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 the simple division method
Step 1: Divide 842 by 1, 842 ÷ 1 = 842.
Step 2: Continue dividing 842 by the numbers until the remainder becomes 0.
842 ÷ 1 = 842
842 ÷ 2 = 421
Therefore, the factors of 842 are: 1, 2, 421, 842.
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 842 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
842 ÷ 2 = 421
421 ÷ 421 = 1
The prime factors of 842 are 2 and 421.
The prime factorization of 842 is: 2 × 421.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 842 is divided by 2 to get 421.
Step 2: 421 is a prime number and cannot be divided further. So, the prime factorization of 842 is: 2 × 421.
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 842: (1, 842), (2, 421).
- Negative factor pairs of 842: (-1, -842), (-2, -421).
Common Mistakes and How to Avoid Them in Factors of 842
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 842, 1 and 842 are also factors.
Factors of 842 Examples
Problem 1
A company is distributing 842 pens equally among 2 offices. How many pens will each office receive?
Each office will receive 421 pens.
Explanation
To distribute the pens equally, we need to divide the total pens by the number of offices.
842/2 = 421
Problem 2
A rectangular garden has an area of 842 square meters, and the length is 421 meters. What is the width?
The width is 2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
842 = 421 × width
To find the value of width, we need to shift 421 to the left side.
842/421 = width
Width = 2.
Problem 3
A teacher has 842 worksheets and needs to distribute them equally among 421 students. How many worksheets will each student get?
Each student will get 2 worksheets.
Explanation
To find the worksheets for each student, divide the total worksheets by the number of students.
842/421 = 2
Problem 4
A construction company has 842 bricks and divides them into 2 equal stacks. How many bricks are in each stack?
Each stack has 421 bricks.
Explanation
Dividing the bricks by the total stacks, we will get the number of bricks in each stack.
842/2 = 421
Problem 5
842 chairs are to be arranged in 2 rows. How many chairs will be in each row?
Each row will have 421 chairs.
Explanation
Divide total chairs by rows.
842/2 = 421
FAQs on Factors of 842
1.What are the factors of 842?
2.Mention the prime factors of 842.
3.Is 842 a multiple of 2?
4.Mention the factor pairs of 842?
5.What is the square of 842?
6.How can children in Canada use numbers in everyday life to understand Factors of 842?
7.What are some fun ways kids in Canada can practice Factors of 842 with numbers?
8.What role do numbers and Factors of 842 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 842 skills?
Important Glossaries for Factors of 842
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 842 are 1, 2, 421, and 842.
- Prime factors: The factors which are prime numbers. For example, 2 and 421 are prime factors of 842.
- 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 842 are (1, 842) and (2, 421).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 842 is 2 × 421.
- Multiple: A number is a multiple of another if it can be divided by that number without a remainder. For example, 842 is a multiple of 2.
Explore More numbers
Previous to Factors of 842
About BrightChamps in Canada
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.
