133 LearnersLast updated on May 26th, 2025
Factors of 1403
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.
What are the Factors of 1403?
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
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How to Find Factors of 1403?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1403
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 1403, 1 and 1403 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1403 consist of -1, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1403/1.5 = 935.333, and it 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 1403 are prime numbers.
For example, 19 and 73 are the prime factors of 1403, but it has other factors like 1, 1403.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1403 as 19 × 73 and missing all the key factors.
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Factors of 1403 Examples
Problem 1
There are 19 friends and 1403 candies. How will they divide it equally?
They will get 73 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1403/19 = 73
Problem 2
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.
Explanation
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.
Problem 3
There are 73 boxes and 1403 books. How many books will be in each box?
Each box will have 19 books.
Explanation
To find the books in each box, divide the total books by the boxes.
1403/73 = 19
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1403/19 = 73
Problem 5
1403 apples need to be arranged in 73 baskets. How many apples will go in each basket?
Each of the baskets has 19 apples.
Explanation
Divide total apples by baskets.
1403/73 = 19
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FAQs on Factors of 1403
1.What are the factors of 1403?
2.Mention the prime factors of 1403.
3.Is 1403 a multiple of 19?
4.Mention the factor pairs of 1403?
5.What is the square of 1403?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1403?
7.What are some fun ways kids in Bahrain can practice Factors of 1403 with numbers?
8.What role do numbers and Factors of 1403 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1403 skills?
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Important Glossaries for Factor of 1403
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1403 are 1, 19, 73, and 1403.
- Prime factors: The factors which are prime numbers. For example, 19 and 73 are prime factors of 1403.
- 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 1403 are (1, 1403) and (19, 73).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1403 is 19 × 73.
- Negative factors: Factors that are negative counterparts of positive factors. For instance, the negative factors of 1403 are -1, -19, -73, and -1403.
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About BrightChamps in Bahrain
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.
