100 LearnersLast updated on May 26th, 2025
Factors of 332
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 332, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 332?
The numbers that divide 332 evenly are known as factors of 332.
A factor of 332 is a number that divides the number without remainder.
The factors of 332 are 1, 2, 4, 83, 166, and 332.
Negative factors of 332: -1, -2, -4, -83, -166, and -332.
Prime factors of 332: 2 and 83.
Prime factorization of 332: 2 × 166 = 2 × 2 × 83.
The sum of factors of 332: 1 + 2 + 4 + 83 + 166 + 332 = 588
How to Find Factors of 332?
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 332. Identifying the numbers which are multiplied to get the number 332 is the multiplication method.
Step 1: Multiply 332 by 1, 332 × 1 = 332.
Step 2: Check for other numbers that give 332 after multiplying
2 × 166 = 332
4 × 83 = 332
Therefore, the positive factor pairs of 332 are: (1, 332), (2, 166), (4, 83).
All these factor pairs result in 332.
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 332 by 1, 332 ÷ 1 = 332.
Step 2: Continue dividing 332 by the numbers until the remainder becomes 0.
332 ÷ 1 = 332
332 ÷ 2 = 166
332 ÷ 4 = 83
Therefore, the factors of 332 are: 1, 2, 4, 83, 166, 332.
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 332 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
332 ÷ 2 = 166
166 ÷ 2 = 83
83 ÷ 83 = 1
The prime factors of 332 are 2 and 83.
The prime factorization of 332 is: 2 × 2 × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 332 is divided by 2 to get 166.
Step 2: Now divide 166 by 2 to get 83. Here, 83 is a prime number, that cannot be divided anymore.
So, the prime factorization of 332 is: 2 × 2 × 83.
Factor Pair: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 332: (1, 332), (2, 166), (4, 83).
Negative factor pairs of 332: (-1, -332), (-2, -166), (-4, -83).
Common Mistakes and How to Avoid Them in Factors of 332
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 332, 1 and 332 are also factors.
Factors of 332 Examples
Problem 1
There are 4 teams and 332 participants. How will they divide them equally?
They will get 83 participants each.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams.
332/4 = 83
Problem 2
A rectangular garden has a length of 2 meters and a total area of 332 square meters. Find the width?
166 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
332 = 2 × width
To find the value of width, we need to shift 2 to the left side.
332/2 = width
Width = 166.
Problem 3
There are 83 backpacks and 332 pencils. How many pencils will be in each backpack?
Each backpack will have 4 pencils.
Explanation
To find the pencils in each backpack, divide the total pencils with the backpacks.
332/83 = 4
Problem 4
In a classroom, there are 332 students, and 166 chairs. How many students can sit on each chair?
There are 2 students on each chair.
Explanation
Dividing the students with the total chairs, we will get the number of students on each chair.
332/166 = 2
Problem 5
332 apples need to be placed in 1 crate. How many apples will go in the crate?
The crate will have 332 apples.
Explanation
Divide total apples with crates.
332/1 = 332
FAQs on Factors of 332
1.What are the factors of 332?
2.Mention the prime factors of 332.
3.Is 332 a multiple of 2?
4.Mention the factor pairs of 332?
5.What is the square of 332?
6.How can children in Canada use numbers in everyday life to understand Factors of 332?
7.What are some fun ways kids in Canada can practice Factors of 332 with numbers?
8.What role do numbers and Factors of 332 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 332 skills?
Important Glossaries for Factors of 332
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 332 are 1, 2, 4, 83, 166, and 332.
- Prime factors: The factors which are prime numbers. For example, 2 and 83 are prime factors of 332.
- 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 332 are (1, 332), (2, 166), etc.
- Prime factorization: Breaking down a number into its prime number components. For example, the prime factorization of 332 is 2 × 2 × 83.
- Multiple: A number that can be divided by another number without a remainder. For example, 332 is a multiple of 2.
Explore More numbers
Previous to Factors of 332
About BrightChamps in Canada
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.
