108 LearnersLast updated on May 26th, 2025
Factors of 848
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 848, how they are used in real life, and tips to learn them quickly.
What are the Factors of 848?
The numbers that divide 848 evenly are known as factors of 848. A factor of 848 is a number that divides the number without a remainder. The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.
Negative factors of 848: -1, -2, -4, -8, -16, -53, -106, -212, -424, and -848.
Prime factors of 848: 2 and 53.
Prime factorization of 848: 24 × 53.
The sum of factors of 848: 1 + 2 + 4 + 8 + 16 + 53 + 106 + 212 + 424 + 848 = 1674
How to Find Factors of 848?
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 848. Identifying the numbers which are multiplied to get the number 848 is the multiplication method.
Step 1: Multiply 848 by 1, 848 × 1 = 848.
Step 2: Check for other numbers that give 848 after multiplying
2 × 424 = 848
4 × 212 = 848
8 × 106 = 848
16 × 53 = 848
Therefore, the positive factor pairs of 848 are: (1, 848), (2, 424), (4, 212), (8, 106), (16, 53). 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 848 by 1, 848 ÷ 1 = 848.
Step 2: Continue dividing 848 by the numbers until the remainder becomes 0.
848 ÷ 1 = 848
848 ÷ 2 = 424
848 ÷ 4 = 212
848 ÷ 8 = 106
848 ÷ 16 = 53
Therefore, the factors of 848 are: 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.
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 848 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
848 ÷ 2 = 424
424 ÷ 2 = 212
212 ÷ 2 = 106
106 ÷ 2 = 53
53 ÷ 53 = 1
The prime factors of 848 are 2 and 53. The prime factorization of 848 is: 24 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 848 is divided by 2 to get 424.
Step 2: Now divide 424 by 2 to get 212.
Step 3: Then divide 212 by 2 to get 106.
Step 4: Divide 106 by 2 to get 53. Here, 53 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 848 is: 24 × 53.
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 848: (1, 848), (2, 424), (4, 212), (8, 106), and (16, 53).
- Negative factor pairs of 848: (-1, -848), (-2, -424), (-4, -212), (-8, -106), and (-16, -53).
Common Mistakes and How to Avoid Them in Factors of 848
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 848, 1 and 848 are also factors.
Factors of 848 Examples
Problem 1
A company has 848 shares and 16 employees. How will they distribute the shares equally?
They will get 53 shares each.
Explanation
To distribute the shares equally, we need to divide the total shares by the number of employees.
848/16 = 53
Problem 2
A large rectangular garden has a length of 53 meters and a total area of 848 square meters. What is the width?
16 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
848 = 53 × width
To find the value of the width, we need to shift 53 to the left side.
848/53 = width
Width = 16.
Problem 3
A teacher wants to distribute 848 pencils equally among 4 classrooms. How many pencils will each classroom receive?
Each classroom will receive 212 pencils.
Explanation
To find the number of pencils each classroom receives, divide the total pencils by the number of classrooms.
848/4 = 212
Problem 4
A caterer is preparing for an event with 8 tables and has 848 utensils to distribute evenly. How many utensils will each table have?
Each table will have 106 utensils.
Explanation
Dividing the utensils by the total number of tables, we will get the number of utensils per table.
848/8 = 106
Problem 5
A library has 848 books and 53 shelves. How many books will go on each shelf?
Each shelf will have 16 books.
Explanation
Divide total books by the number of shelves.
848/53 = 16
FAQs on Factors of 848
1.What are the factors of 848?
2.Mention the prime factors of 848.
3.Is 848 a multiple of 8?
4.Mention the factor pairs of 848?
5.What is the square of 848?
Important Glossaries for Factor of 848
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848.
- Prime factors: The factors which are prime numbers. For example, 2 and 53 are prime factors of 848.
- 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 848 are (1, 848), (2, 424), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 848 is 24 × 53.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 848 is a multiple of 8.
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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.
