106 LearnersLast updated on May 26th, 2025
Factors of 847
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 847, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 847?
The numbers that divide 847 evenly are known as factors of 847. A factor of 847 is a number that divides the number without remainder. The factors of 847 are 1, 7, 121, and 847.
Negative factors of 847: -1, -7, -121, and -847.
Prime factors of 847: 7 and 121.
Prime factorization of 847: 7 × 121.
The sum of factors of 847: 1 + 7 + 121 + 847 = 976
How to Find Factors of 847?
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 847. Identifying the numbers which are multiplied to get the number 847 is the multiplication method.
Step 1: Multiply 847 by 1, 847 × 1 = 847.
Step 2: Check for other numbers that give 847 after multiplying 7 × 121 = 847
Therefore, the positive factor pairs of 847 are: (1, 847) and (7, 121). All these factor pairs result in 847. 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 847 by 1, 847 ÷ 1 = 847.
Step 2: Continue dividing 847 by the numbers until the remainder becomes 0.
847 ÷ 1 = 847
847 ÷ 7 = 121
Therefore, the factors of 847 are: 1, 7, 121, 847.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 847 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
847 ÷ 7 = 121
121 is a perfect square: 11 × 11
The prime factors of 847 are 7 and 11.
The prime factorization of 847 is: 7 × 11 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 847 is divided by 7 to get 121.
Step 2: Now divide 121 by 11 to get 11. Here, 11 is a prime number, that cannot be divided anymore. So, the prime factorization of 847 is: 7 × 11 × 11.
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 847: (1, 847) and (7, 121).
- Negative factor pairs of 847: (-1, -847) and (-7, -121).
Common Mistakes and How to Avoid Them in Factors of 847
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
People 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 847, 1 and 847 are also factors.
Factors of 847 Examples
Problem 1
A group of 7 people needs to split 847 marbles. How many marbles will each person receive?
Each person will receive 121 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of people.
847/7 = 121
Problem 2
A rectangular garden has a length of 11 meters, and the total area is 847 square meters. Find the width.
77 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
847 = 11 × width
To find the value of width, we need to divide 847 by 11.
847/11 = width
Width = 77.
Problem 3
There are 11 benches, and 847 flowers need to be placed on them. How many flowers will be on each bench?
Each bench will have 77 flowers.
Explanation
To find the flowers on each bench, divide the total flowers by the benches.
847/11 = 77
Problem 4
In an auditorium, there are 847 seats, and they need to be grouped into 7 sections. How many seats will be in each section?
There are 121 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
847/7 = 121
Problem 5
847 pages need to be distributed among 11 binders. How many pages will go into each binder?
Each binder will have 77 pages.
Explanation
Divide total pages by binders.
847/11 = 77
FAQs on Factors of 847
1.What are the factors of 847?
2.Mention the prime factors of 847.
3.Is 847 a multiple of 7?
4.Mention the factor pairs of 847.
5.What is the square of 847?
6.How can children in Qatar use numbers in everyday life to understand Factors of 847?
7.What are some fun ways kids in Qatar can practice Factors of 847 with numbers?
8.What role do numbers and Factors of 847 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 847 skills?
Important Glossaries for Factor of 847
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 847 are 1, 7, 121, and 847.
- Prime factors: The factors which are prime numbers. For example, 7 and 11 are prime factors of 847.
- 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 847 are (1, 847) and (7, 121).
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to give the original number.
- Division method: Finding factors by dividing the number by whole numbers to identify divisors.
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About BrightChamps in Qatar
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.
