109 LearnersLast updated on May 26th, 2025
Factors of 932
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 932, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 932?
The numbers that divide 932 evenly are known as factors of 932. A factor of 932 is a number that divides the number without remainder. The factors of 932 are 1, 2, 4, 233, 466, and 932.
Negative factors of 932: -1, -2, -4, -233, -466, and -932.
Prime factors of 932: 2 and 233.
Prime factorization of 932: 2² × 233.
The sum of factors of 932: 1 + 2 + 4 + 233 + 466 + 932 = 1638
How to Find Factors of 932?
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 932. Identifying the numbers which are multiplied to get the number 932 is the multiplication method.
Step 1: Multiply 932 by 1, 932 × 1 = 932.
Step 2: Check for other numbers that give 932 after multiplying
2 × 466 = 932
4 × 233 = 932
Therefore, the positive factor pairs of 932 are: (1, 932), (2, 466), (4, 233). All these factor pair result in 932. 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 results as a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 932 by 1, 932 ÷ 1 = 932.
Step 2: Continue dividing 932 by the numbers until the remainder becomes 0.
932 ÷ 1 = 932
932 ÷ 2 = 466
932 ÷ 4 = 233
Therefore, the factors of 932 are: 1, 2, 4, 233, 466, 932.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 932 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
932 ÷ 2 = 466
466 ÷ 2 = 233
233 ÷ 233 = 1
The prime factors of 932 are 2 and 233. The prime factorization of 932 is: 2² × 233.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 932 is divided by 2 to get 466.
Step 2: Now divide 466 by 2 to get 233. Step 3: Since 233 is a prime number, it cannot be divided further. So, the prime factorization of 932 is: 2² × 233.
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 932: (1, 932), (2, 466), (4, 233).
- Negative factor pairs of 932: (-1, -932), (-2, -466), (-4, -233).
Common Mistakes and How to Avoid Them in Factors of 932
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 932, 1 and 932 is also a factor.
Factors of 932 Examples
Problem 1
There are 4 teams and 932 players. How will they divide it equally?
They will get 233 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
932/4 = 233
Problem 2
A poster is rectangular, the length of the poster is 2 meters and the total area is 932 square meters. Find the width?
466 meters.
Explanation
To find the width of the poster, we use the formula,
Area = length × width
932 = 2 × width
To find the value of width, we need to shift 2 to the left side.
932/2 = width
Width = 466.
Problem 3
There are 932 candies and 233 jars. How many candies will be in each jar?
Each jar will have 4 candies.
Explanation
To find the candies in each jar, divide the total candies by the jars.
932/233 = 4
Problem 4
In a class, there are 932 students, and 2 sections. How many students are there in each section?
There are 466 students in each section.
Explanation
Dividing the students by the total sections, we will get the number of students in each section.
932/2 = 466
Problem 5
932 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 233 books.
Explanation
Divide total books by shelves.
932/4 = 233
FAQs on Factors of 932
1.What are the factors of 932?
2.Mention the prime factors of 932.
3.Is 932 a multiple of 4?
4.Mention the factor pairs of 932?
5.What is the square of 932?
Important Glossaries for Factor of 932
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 932 are 1, 2, 4, 233, 466, and 932.
- Prime factors: The factors which are prime numbers. For example, 2 and 233 are prime factors of 932.
- 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 932 are (1, 932), (2, 466), (4, 233).
- Prime factorization: Breaking down a number into its smallest prime factors. For example, the prime factorization of 932 is 2² × 233.
- Division method: A method to find factors by dividing the number with whole numbers until the remainder becomes zero.
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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.
