118 LearnersLast updated on May 26th, 2025
Factors of 1003
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 1003, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1003?
The numbers that divide 1003 evenly are known as factors of 1003.
A factor of 1003 is a number that divides the number without a remainder.
The factors of 1003 are 1, 17, 59, and 1003.
Negative factors of 1003: -1, -17, -59, and -1003.
Prime factors of 1003: 17 and 59.
Prime factorization of 1003: 17 × 59.
The sum of factors of 1003: 1 + 17 + 59 + 1003 = 1080
How to Find Factors of 1003?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1003. Identifying the numbers which are multiplied to get the number 1003 is the multiplication method.
Step 1: Multiply 1003 by 1, 1003 × 1 = 1003.
Step 2: Check for other numbers that give 1003 after multiplying 17 × 59 = 1003
Therefore, the positive factor pairs of 1003 are: (1, 1003) and (17, 59).
All these factor pairs result in 1003.
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 1003 by 1, 1003 ÷ 1 = 1003.
Step 2: Continue dividing 1003 by the numbers until the remainder becomes 0.
1003 ÷ 1 = 1003
1003 ÷ 17 = 59
1003 ÷ 59 = 17
Therefore, the factors of 1003 are: 1, 17, 59, 1003.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1003 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1003 ÷ 17 = 59
59 ÷ 59 = 1
The prime factors of 1003 are 17 and 59.
The prime factorization of 1003 is: 17 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1003 is divided by 17 to get 59.
Step 2: Now divide 59 by 59 to get 1. Here, 59 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1003 is: 17 × 59.
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 1003: (1, 1003) and (17, 59).
Negative factor pairs of 1003: (-1, -1003) and (-17, -59).
Common Mistakes and How to Avoid Them in Factors of 1003
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 1003, 1 and 1003 are also factors.
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 1003 consist of -1, -17, -59, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1003/1.5 = 668.666..., 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 1003 are prime numbers.
For example, 17 and 59 are the prime factors of 1003, but it also has other factors like 1 and 1003.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1003 as 17 × 59 and missing all the key factors.
Factors of 1003 Examples
Problem 1
There are 17 people and 1003 candies. How will they divide it equally?
They will get 59 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of people.
1003/17 = 59
Problem 2
A rectangular painting has a length of 17 inches and a total area of 1003 square inches. Find the width.
59 inches.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
1003 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1003/17 = width
Width = 59.
Problem 3
There are 59 boxes and 1003 apples. How many apples will be in each box?
Each box will have 17 apples.
Explanation
To find the apples in each box, divide the total apples with the boxes.
1003/59 = 17
Problem 4
In a class, there are 1003 students, and 17 groups. How many students are there in each group?
There are 59 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1003/17 = 59
Problem 5
1003 books need to be arranged in 59 shelves. How many books will go on each shelf?
Each of the shelves has 17 books.
Explanation
Divide total books with shelves.
1003/59 = 17
FAQs on Factors of 1003
1.What are the factors of 1003?
2.Mention the prime factors of 1003.
3.Is 1003 a multiple of 17?
4.Mention the factor pairs of 1003?
5.What is the square of 1003?
6.How can children in India use numbers in everyday life to understand Factors of 1003?
7.What are some fun ways kids in India can practice Factors of 1003 with numbers?
8.What role do numbers and Factors of 1003 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1003 skills?
Important Glossaries for Factors of 1003
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1003 are 1, 17, 59, and 1003.
- Prime factors: The factors which are prime numbers. For example, 17 and 59 are prime factors of 1003.
- 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 1003 are (1, 1003) and (17, 59).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1003 is 17 × 59.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -17, -59, and -1003 are negative factors of 1003.
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About BrightChamps in India
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.
