Last updated on May 26th, 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 1403, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1403 evenly are known as factors of 1403.
A factor of 1403 is a number that divides the number without remainder.
The factors of 1403 are 1, 19, 73, and 1403.
Negative factors of 1403: -1, -19, -73, and -1403.
Prime factors of 1403: 19 and 73.
Prime factorization of 1403: 19 × 73.
The sum of factors of 1403: 1 + 19 + 73 + 1403 = 1496
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 1403. Identifying the numbers which are multiplied to get the number 1403 is the multiplication method.
Step 1: Multiply 1403 by 1, 1403 × 1 = 1403.
Step 2: Check for other numbers that give 1403 after multiplying
19 × 73 = 1403
Therefore, the positive factor pairs of 1403 are: (1, 1403), and (19, 73).
All these factor pairs result in 1403.
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 the simple division method:
Step 1: Divide 1403 by 1, 1403 ÷ 1 = 1403.
Step 2: Continue dividing 1403 by the numbers until the remainder becomes 0.
1403 ÷ 1 = 1403
1403 ÷ 19 = 73
Therefore, the factors of 1403 are: 1, 19, 73, and 1403.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1403 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1403 ÷ 19 = 73
73 ÷ 73 = 1
The prime factors of 1403 are 19 and 73.
The prime factorization of 1403 is: 19 × 73.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1403 is divided by 19 to get 73.
Step 2: Now, divide 73 by 73 to get 1. Here, 73 is the smallest prime number and cannot be divided anymore.
So, the prime factorization of 1403 is: 19 × 73.
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 1403: (1, 1403) and (19, 73).
Negative factor pairs of 1403: (-1, -1403) and (-19, -73).
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 19 friends and 1403 candies. How will they divide it equally?
They will get 73 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1403/19 = 73
A farmer has a rectangular field. The length of the field is 73 meters, and the total area is 1403 square meters. Find the width.
19 meters.
To find the width of the field, we use the formula,
Area = length × width
1403 = 73 × width
To find the value of width, we need to shift 73 to the left side.
1403/73 = width
Width = 19.
There are 73 boxes and 1403 books. How many books will be in each box?
Each box will have 19 books.
To find the books in each box, divide the total books by the boxes.
1403/73 = 19
In a class, there are 1403 students, and 19 groups. How many students are there in each group?
There are 73 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1403/19 = 73
1403 apples need to be arranged in 73 baskets. How many apples will go in each basket?
Each of the baskets has 19 apples.
Divide total apples by baskets.
1403/73 = 19
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.