100 LearnersLast updated on May 26th, 2025
Factors of 333
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 333, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 333?
The numbers that divide 333 evenly are known as factors of 333.
A factor of 333 is a number that divides the number without remainder.
The factors of 333 are 1, 3, 9, 37, 111, and 333.
Negative factors of 333: -1, -3, -9, -37, -111, and -333.
Prime factors of 333: 3 and 37.
Prime factorization of 333: 3 × 111 = 3 × (3 × 37) = 3² × 37.
The sum of factors of 333: 1 + 3 + 9 + 37 + 111 + 333 = 494
How to Find Factors of 333?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 333. Identifying the numbers which are multiplied to get the number 333 is the multiplication method.
Step 1: Multiply 333 by 1, 333 × 1 = 333.
Step 2: Check for other numbers that give 333 after multiplying
3 × 111 = 333
9 × 37 = 333
Therefore, the positive factor pairs of 333 are: (1, 333), (3, 111), (9, 37).
All these factor pairs result in 333.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 333 by 1, 333 ÷ 1 = 333.
Step 2: Continue dividing 333 by the numbers until the remainder becomes 0.
333 ÷ 1 = 333
333 ÷ 3 = 111
333 ÷ 9 = 37
Therefore, the factors of 333 are: 1, 3, 9, 37, 111, 333.
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 333 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 333 are 3 and 37.
The prime factorization of 333 is: 3² × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 333 is divided by 3 to get 111.
Step 2: Now divide 111 by 3 to get 37.
Here, 37 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 333 is: 3² × 37.
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 333: (1, 333), (3, 111), and (9, 37).
Negative factor pairs of 333: (-1, -333), (-3, -111), and (-9, -37).
Common Mistakes and How to Avoid Them in Factors of 333
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 333, 1 and 333 are also factors.
Factors of 333 Examples
Problem 1
There are 9 teams and 333 players. How will they distribute the players equally?
They will get 37 players each.
Explanation
To distribute the players equally, we need to divide the total players by the number of teams.
333/9 = 37
Problem 2
A rectangular garden has a length of 37 meters and a total area of 333 square meters. Find the width.
9 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
333 = 37 × width
To find the value of width, we need to shift 37 to the left side.
333/37 = width
Width = 9.
Problem 3
There are 111 students and 333 books. How many books will each student get?
Each student will have 3 books.
Explanation
To find the books each student will get, divide the total books by the students.
333/111 = 3
Problem 4
In a class, there are 333 students, and 3 groups. How many students are there in each group?
There are 111 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
333/3 = 111
Problem 5
333 apples need to be arranged in 3 baskets. How many apples will go in each basket?
Each of the baskets has 111 apples.
Explanation
Divide total apples by baskets.
333/3 = 111
FAQs on Factors of 333
1.What are the factors of 333?
2.Mention the prime factors of 333.
3.Is 333 a multiple of 3?
4.Mention the factor pairs of 333?
5.What is the square of 333?
6.How can children in Canada use numbers in everyday life to understand Factors of 333?
7.What are some fun ways kids in Canada can practice Factors of 333 with numbers?
8.What role do numbers and Factors of 333 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 333 skills?
Important Glossaries for Factor of 333
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 333 are 1, 3, 9, 37, 111, and 333.
- Prime factors: The factors which are prime numbers. For example, 3 and 37 are prime factors of 333.
- 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 333 are (1, 333), (3, 111), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: Breaking down a number into its prime factors. For example, 333 = 3² × 37. ```
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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.
