135 LearnersLast updated on May 30th, 2025
Factors of 1203
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 1203, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1203?
The numbers that divide 1203 evenly are known as factors of 1203.
A factor of 1203 is a number that divides the number without remainder. The factors of 1203 are 1, 3, 401, and 1203.
Negative factors of 1203: -1, -3, -401, and -1203.
Prime factors of 1203: 3 and 401.
Prime factorization of 1203: 3 × 401.
The sum of factors of 1203: 1 + 3 + 401 + 1203 = 1608
How to Find Factors of 1203?
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 1203. Identifying the numbers which are multiplied to get the number 1203 is the multiplication method.
Step 1: Multiply 1203 by 1, 1203 × 1 = 1203.
Step 2: Check for other numbers that give 1203 after multiplying
3 × 401 = 1203
Therefore, the positive factor pairs of 1203 are: (1, 1203), (3, 401). All these factor pairs result in 1203.
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 1203 by 1, 1203 ÷ 1 = 1203.
Step 2: Continue dividing 1203 by the numbers until the remainder becomes 0.
1203 ÷ 1 = 1203
1203 ÷ 3 = 401
Therefore, the factors of 1203 are: 1, 3, 401, 1203.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1203 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1203 ÷ 3 = 401
401 ÷ 401 = 1
The prime factors of 1203 are 3 and 401.
The prime factorization of 1203 is: 3 × 401.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1203 is divided by 3 to get 401.
Step 2: 401 is a prime number, so it cannot be divided further. So, the prime factorization of 1203 is: 3 × 401.
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 1203: (1, 1203), (3, 401).
Negative factor pairs of 1203: (-1, -1203), (-3, -401).
Common Mistakes and How to Avoid Them in Factors of 1203
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 1203, 1 and 1203 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1203 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1203/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1203 are prime numbers. For instance, 3 and 401 are the prime factors of 1203, but it has other factors like 1 and 1203.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1203 as 3 × 401 and missing all the key factors.
Factors of 1203 Examples
Problem 1
There are 3 groups and 1203 candies. How will they divide it equally?
They will get 401 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
1203/3 = 401
Problem 2
A rectangular field has a length of 3 meters and a total area of 1203 square meters. Find the width?
401 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1203 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1203/3 = width
Width = 401.
Problem 3
There are 401 boxes and 1203 apples. How many apples will be in each box?
Each box will have 3 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1203/401 = 3
Problem 4
In a class, there are 1203 students, and 3 groups. How many students are there in each group?
There are 401 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1203/3 = 401
Problem 5
1203 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 401 books.
Explanation
Divide total books by shelves.
1203/3 = 401
FAQs on Factors of 1203
1.What are the factors of 1203?
2.Mention the prime factors of 1203.
3.Is 1203 a multiple of 3?
4.Mention the factor pairs of 1203?
5.What is the square of 1203?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1203?
7.What are some fun ways kids in Vietnam can practice Factors of 1203 with numbers?
8.What role do numbers and Factors of 1203 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1203 skills?
Important Glossaries for Factor of 1203
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1203 are 1, 3, 401, and 1203.
- Prime factors: The factors which are prime numbers. For example, 3 and 401 are prime factors of 1203.
- 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 1203 are (1, 1203) and (3, 401).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1203 is 3 × 401.
- Multiples: The result of multiplying a number by an integer. For example, 1203 is a multiple of 3.
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About BrightChamps in Vietnam
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.
