125 LearnersLast updated on May 26th, 2025
Factors of 896
Factors are the numbers that divide any given number evenly without a 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 896, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 896?
The numbers that divide 896 evenly are known as factors of 896. A factor of 896 is a number that divides the number without a remainder. The factors of 896 are 1, 2, 4, 8, 16, 28, 32, 56, 112, 224, 448, and 896.
Negative factors of 896: -1, -2, -4, -8, -16, -28, -32, -56, -112, -224, -448, and -896.
Prime factors of 896: 2 and 7.
Prime factorization of 896: 27 × 7.
The sum of factors of 896: 1 + 2 + 4 + 8 + 16 + 28 + 32 + 56 + 112 + 224 + 448 + 896 = 1827
How to Find Factors of 896?
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 896. Identifying the numbers which are multiplied to get the number 896 is the multiplication method.
Step 1: Multiply 896 by 1, 896 × 1 = 896.
Step 2: Check for other numbers that give 896 after multiplying
2 × 448 = 896
4 × 224 = 896
8 × 112 = 896
16 × 56 = 896
28 × 32 = 896
Therefore, the positive factor pairs of 896 are: (1, 896), (2, 448), (4, 224), (8, 112), (16, 56), and (28, 32). 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 896 by 1, 896 ÷ 1 = 896.
Step 2: Continue dividing 896 by the numbers until the remainder becomes 0.
896 ÷ 1 = 896
896 ÷ 2 = 448
896 ÷ 4 = 224
896 ÷ 8 = 112
896 ÷ 16 = 56
896 ÷ 28 = 32
Therefore, the factors of 896 are: 1, 2, 4, 8, 16, 28, 32, 56, 112, 224, 448, 896.
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 896 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
896 ÷ 2 = 448
448 ÷ 2 = 224
224 ÷ 2 = 112
112 ÷ 2 = 56
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
7 ÷ 7 = 1
The prime factors of 896 are 2 and 7. The prime factorization of 896 is: 27 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 896 is divided by 2 to get 448.
Step 2: Now divide 448 by 2 to get 224.
Step 3: Then divide 224 by 2 to get 112.
Step 4: Divide 112 by 2 to get 56.
Step 5: Divide 56 by 2 to get 28.
Step 6: Divide 28 by 2 to get 14.
Step 7: Finally, divide 14 by 2 to get 7.
Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 896 is: 27 × 7.
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 896: (1, 896), (2, 448), (4, 224), (8, 112), (16, 56), (28, 32).
- Negative factor pairs of 896: (-1, -896), (-2, -448), (-4, -224), (-8, -112), (-16, -56), (-28, -32).
Common Mistakes and How to Avoid Them in Factors of 896
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 896, 1 and 896 are also factors.
Factors of 896 Examples
Problem 1
There are 56 students and 896 pencils. How will they divide them equally?
They will get 16 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
896/56 = 16
Problem 2
A rectangular garden has a length of 28 meters and a total area of 896 square meters. Find the width.
32 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
896 = 28 × width
To find the value of width, we need to shift 28 to the left side.
896/28 = width
Width = 32.
Problem 3
There are 224 apples and 896 baskets. How many apples will be in each basket?
Each basket will have 4 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
896/224 = 4
Problem 4
In a class, there are 896 students and 8 groups. How many students are there in each group?
There are 112 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
896/8 = 112
Problem 5
896 books need to be arranged in 16 shelves. How many books will go on each shelf?
Each of the shelves has 56 books.
Explanation
Divide total books by shelves.
896/16 = 56
FAQs on Factors of 896
1.What are the factors of 896?
2.Mention the prime factors of 896.
3.Is 896 a multiple of 4?
4.Mention the factor pairs of 896?
5.What is the square of 896?
Important Glossaries for Factors of 896
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 896 are 1, 2, 4, 8, 16, 28, 32, 56, 112, 224, 448, and 896.
- Prime factors: The factors which are prime numbers. For example, 2 and 7 are prime factors of 896.
- 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 896 are (1, 896), (2, 448), etc.
- Prime factorization: Breaking down a number into a product of prime factors. For example, the prime factorization of 896 is 27 × 7.
- Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to the given number. For example, finding factor pairs of 896 through multiplication.
Explore More numbers
Previous to Factors of 896
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.
