104 LearnersLast updated on May 26th, 2025
Factors of 841
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 841, how they are used in real life, and tips to learn them quickly.
What are the Factors of 841?
The numbers that divide 841 evenly are known as factors of 841.
A factor of 841 is a number that divides the number without remainder.
The factors of 841 are 1, 29, and 841.
Negative factors of 841: -1, -29, and -841.
Prime factors of 841: 29.
Prime factorization of 841: 29 × 29 or 29².
The sum of factors of 841: 1 + 29 + 841 = 871
How to Find Factors of 841?
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 841. Identifying the numbers which are multiplied to get the number 841 is the multiplication method.
Step 1: Multiply 841 by 1, 841 × 1 = 841.
Step 2: Check for other numbers that give 841 after multiplying 29 × 29 = 841
Therefore, the positive factor pairs of 841 are: (1, 841) and (29, 29).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 841 by 1, 841 ÷ 1 = 841.
Step 2: Continue dividing 841 by the numbers until the remainder becomes 0.
841 ÷ 1 = 841
841 ÷ 29 = 29
Therefore, the factors of 841 are: 1, 29, and 841.
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 841 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
841 ÷ 29 = 29
29 ÷ 29 = 1
The prime factor of 841 is 29.
The prime factorization of 841 is: 29 × 29 or 29².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 841 is divided by 29 to get 29.
Step 2: Now divide 29 by 29 to get 1. Here, 29 is a prime number that cannot be divided anymore. So, the prime factorization of 841 is: 29 × 29 or 29².
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 841: (1, 841) and (29, 29).
- Negative factor pairs of 841: (-1, -841) and (-29, -29).
Common Mistakes and How to Avoid Them in Factors of 841
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 841, 1 and 841 are also factors.
Factors of 841 Examples
Problem 1
There are 29 students and 841 apples. How will they divide it equally?
They will get 29 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of students.
841/29 = 29
Problem 2
A square garden has an area of 841 square meters. Find the length of each side.
29 meters.
Explanation
The area of a square is given by the formula,
Area = side × side
841 = side × side
The side of the square is √841 = 29.
Problem 3
There are 841 books and they need to be arranged in stacks with 29 books each. How many stacks will there be?
There will be 29 stacks.
Explanation
To find the number of stacks, divide the total books by the number of books per stack.
841/29 = 29
Problem 4
In a theater, there are 841 seats, arranged in 29 rows. How many seats are in each row?
There are 29 seats in each row.
Explanation
Dividing the seats by the total rows, we will get the number of seats in each row.
841/29 = 29
Problem 5
A painter needs to paint 841 square feet of wall, dividing the work equally over 29 days. How many square feet does he paint each day?
He paints 29 square feet each day.
Explanation
Divide the total area by the number of days.
841/29 = 29
FAQs on Factors of 841
1.What are the factors of 841?
2.Mention the prime factors of 841.
3.Is 841 a perfect square?
4.Mention the factor pairs of 841?
5.What is the square root of 841?
6.How can children in Singapore use numbers in everyday life to understand Factors of 841?
7.What are some fun ways kids in Singapore can practice Factors of 841 with numbers?
8.What role do numbers and Factors of 841 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 841 skills?
Important Glossaries for Factor of 841
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 841 are 1, 29, and 841.
- Prime factors: The factors which are prime numbers. For example, 29 is a prime factor of 841.
- 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 841 are (1, 841) and (29, 29).
- Perfect square: A number that is the square of an integer. For example, 841 is a perfect square because it is 29².
- Square root: The number that when multiplied by itself gives the original number. For example, the square root of 841 is 29.
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About BrightChamps in Singapore
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.
