104 LearnersLast updated on May 26th, 2025
Factors of 832
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 832, how they are used in real life, and tips to learn them quickly.
What are the Factors of 832?
The numbers that divide 832 evenly are known as factors of 832. A factor of 832 is a number that divides the number without remainder. The factors of 832 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, and 832.
Negative factors of 832: -1, -2, -4, -8, -16, -26, -32, -52, -104, -208, -416, and -832.
Prime factors of 832: 2 and 13.
Prime factorization of 832: 26 × 13.
The sum of factors of 832: 1 + 2 + 4 + 8 + 16 + 26 + 32 + 52 + 104 + 208 + 416 + 832 = 1701
How to Find Factors of 832?
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 832. Identifying the numbers which are multiplied to get the number 832 is the multiplication method.
Step 1: Multiply 832 by 1, 832 × 1 = 832.
Step 2: Check for other numbers that give 832 after multiplying
2 × 416 = 832
4 × 208 = 832
8 × 104 = 832
16 × 52 = 832
26 × 32 = 832
Therefore, the positive factor pairs of 832 are: (1, 832), (2, 416), (4, 208), (8, 104), (16, 52), (26, 32). All these factor pairs result in 832. 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 832 by 1, 832 ÷ 1 = 832.
Step 2: Continue dividing 832 by the numbers until the remainder becomes 0.
832 ÷ 1 = 832
832 ÷ 2 = 416
832 ÷ 4 = 208
832 ÷ 8 = 104
832 ÷ 16 = 52
832 ÷ 26 = 32
Therefore, the factors of 832 are: 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, 832.
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 832 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
832 ÷ 2 = 416
416 ÷ 2 = 208
208 ÷ 2 = 104
104 ÷ 2 = 52
52 ÷ 2 = 26
26 ÷ 2 = 13
13 ÷ 13 = 1
The prime factors of 832 are 2 and 13. The prime factorization of 832 is: 26 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 832 is divided by 2 to get 416.
Step 2: Now divide 416 by 2 to get 208.
Step 3: Then divide 208 by 2 to get 104.
Step 4: Divide 104 by 2 to get 52.
Step 5: Divide 52 by 2 to get 26.
Step 6: Divide 26 by 2 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 832 is: 2^6 × 13.
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 832: (1, 832), (2, 416), (4, 208), (8, 104), (16, 52), (26, 32).
- Negative factor pairs of 832: (-1, -832), (-2, -416), (-4, -208), (-8, -104), (-16, -52), (-26, -32).
Common Mistakes and How to Avoid Them in Factors of 832
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 832, 1 and 832 are also factors.
Factors of 832 Examples
Problem 1
There are 832 apples and 8 baskets. How will they be distributed equally?
They will get 104 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets.
832/8 = 104
Problem 2
A rectangular garden has a width of 16 meters and a total area of 832 square meters. Find the length.
52 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
832 = length × 16
To find the value of length, we need to shift 16 to the left side.
832/16 = length
Length = 52.
Problem 3
There are 52 boxes and 832 candies. How many candies will be in each box?
Each box will have 16 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
832/52 = 16
Problem 4
In a conference, there are 832 participants, and they are divided into 32 groups. How many participants are there in each group?
There are 26 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
832/32 = 26
Problem 5
832 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 208 books.
Explanation
Divide total books by shelves.
832/4 = 208
FAQs on Factors of 832
1.What are the factors of 832?
2.Mention the prime factors of 832.
3.Is 832 a multiple of 4?
4.Mention the factor pairs of 832?
5.What is the square of 832?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 832?
7.What are some fun ways kids in Indonesia can practice Factors of 832 with numbers?
8.What role do numbers and Factors of 832 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 832 skills?
Important Glossaries for Factors of 832
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 832 are 1, 2, 4, 8, 16, 26, 32, 52, 104, 208, 416, and 832.
- Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 832.
- 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 832 are (1, 832), (2, 416), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 832 is 26 × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 832 is a multiple of 4.
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About BrightChamps in Indonesia
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.
