101 LearnersLast updated on May 26th, 2025
Factors of 303
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 303, how they are used in real life, and tips to learn them quickly.
What are the Factors of 303?
The numbers that divide 303 evenly are known as factors of 303.
A factor of 303 is a number that divides the number without remainder.
The factors of 303 are 1, 3, 101, and 303.
Negative factors of 303: -1, -3, -101, and -303.
Prime factors of 303: 3 and 101.
Prime factorization of 303: 3 × 101.
The sum of factors of 303: 1 + 3 + 101 + 303 = 408
How to Find Factors of 303?
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 303. Identifying the numbers which are multiplied to get the number 303 is the multiplication method.
Step 1: Multiply 303 by 1, 303 × 1 = 303.
Step 2: Check for other numbers that give 303 after multiplying
3 × 101 = 303
Therefore, the positive factor pairs of 303 are: (1, 303) and (3, 101).
All these factor pairs result in 303.
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 303 by 1, 303 ÷ 1 = 303.
Step 2: Continue dividing 303 by the numbers until the remainder becomes 0.
303 ÷ 1 = 303
303 ÷ 3 = 101
Therefore, the factors of 303 are: 1, 3, 101, 303.
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 303 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
303 ÷ 3 = 101
101 ÷ 101 = 1
The prime factors of 303 are 3 and 101.
The prime factorization of 303 is: 3 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 303 is divided by 3 to get 101.
Step 2: Now divide 101 by 101 to get 1.
So, the prime factorization of 303 is: 3 × 101.
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 303: (1, 303) and (3, 101).
Negative factor pairs of 303: (-1, -303) and (-3, -101).
Common Mistakes and How to Avoid Them in Factors of 303
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 303, 1 and 303 is also a factor.
Factors of 303 Examples
Problem 1
There are 3 bus routes and 303 passengers. How will the passengers be divided equally?
They will get 101 passengers each.
Explanation
To divide the passengers equally, we need to divide the total passengers with the number of bus routes.
303/3 = 101
Problem 2
A field is rectangular, the length of the field is 101 meters and the total area is 303 square meters. Find the width?
3 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
303 = 101 × width
To find the value of width, we need to shift 101 to the left side.
303/101 = width
Width = 3.
Problem 3
There are 303 cans and 101 crates. How many cans will be in each crate?
Each crate will have 3 cans.
Explanation
To find the cans in each crate, divide the total cans by the crates.
303/101 = 3
Problem 4
In a class, there are 303 students, and 3 groups. How many students are there in each group?
There are 101 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
303/3 = 101
Problem 5
303 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 101 books.
Explanation
Divide total books with shelves.
303/3 = 101
FAQs on Factors of 303
1.What are the factors of 303?
2.Mention the prime factors of 303.
3.Is 303 a multiple of 3?
4.Mention the factor pairs of 303?
5.What is the square of 303?
6.How can children in Canada use numbers in everyday life to understand Factors of 303?
7.What are some fun ways kids in Canada can practice Factors of 303 with numbers?
8.What role do numbers and Factors of 303 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 303 skills?
Important Glossaries for Factors of 303
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 303 are 1, 3, 101, and 303.
- Prime factors: The factors which are prime numbers. For example, 3 and 101 are prime factors of 303.
- 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 303 are (1, 303) and (3, 101).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 303 is 3 × 101.
- Multiple: A number that can be divided by another number without a remainder. For example, 303 is a multiple of 3.
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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.
