Last updated on May 30th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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: 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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 groups and 1203 candies. How will they divide it equally?
They will get 401 candies each.
To divide the candies equally, we need to divide the total candies by the number of groups.
1203/3 = 401
A rectangular field has a length of 3 meters and a total area of 1203 square meters. Find the width?
401 meters.
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.
There are 401 boxes and 1203 apples. How many apples will be in each box?
Each box will have 3 apples.
To find the apples in each box, divide the total apples by the boxes.
1203/401 = 3
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.
Dividing the students by the total groups, we will get the number of students in each group.
1203/3 = 401
1203 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 401 books.
Divide total books by shelves.
1203/3 = 401
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.
: She loves to read number jokes and games.