118 LearnersLast updated on June 10th, 2025
Factors of 1503
Factors are the numbers that divide any given number evenly without a 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 1503, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1503?
The numbers that divide 1503 evenly are known as factors of 1503.
A factor of 1503 is a number that divides the number without a remainder.
The factors of 1503 are 1, 3, 9, 167, 501, and 1503.
Negative factors of 1503: -1, -3, -9, -167, -501, and -1503.
Prime factors of 1503: 3 and 167.
Prime factorization of 1503: 3 × 167.
The sum of factors of 1503: 1 + 3 + 9 + 167 + 501 + 1503 = 2184
How to Find Factors of 1503?
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 1503. Identifying the numbers which are multiplied to get the number 1503 is the multiplication method.
Step 1: Multiply 1503 by 1, 1503 × 1 = 1503.
Step 2: Check for other numbers that give 1503 after multiplying
3 × 501 = 1503
9 × 167 = 1503
Therefore, the positive factor pairs of 1503 are: (1, 1503), (3, 501), (9, 167).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1503 by 1, 1503 ÷ 1 = 1503.
Step 2: Continue dividing 1503 by the numbers until the remainder becomes 0.
1503 ÷ 1 = 1503
1503 ÷ 3 = 501
1503 ÷ 9 = 167
Therefore, the factors of 1503 are: 1, 3, 9, 167, 501, and 1503.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. 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 1503 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1503 ÷ 3 = 501
501 ÷ 3 = 167
167 ÷ 167 = 1
The prime factors of 1503 are 3 and 167.
The prime factorization of 1503 is: 3 × 167.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1503 is divided by 3 to get 501.
Step 2: Now divide 501 by 3 to get 167. Here, 167 is a prime number and cannot be divided anymore. So, the prime factorization of 1503 is: 3 × 167.
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 1503: (1, 1503), (3, 501), (9, 167).
Negative factor pairs of 1503: (-1, -1503), (-3, -501), (-9, -167).
Common Mistakes and How to Avoid Them in Factors of 1503
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 1503, 1 and 1503 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 1503 consist of -1, -3, -9, 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 1503/1.5 = 1002, 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 1503 are prime numbers.
For example, 3 and 167 are the prime factors of 1503, but it has other factors like 9, 501.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1503 as 3 × 167 and missing all the key factors.
Factors of 1503 Examples
Problem 1
There are 9 students and 1503 candies. How will they divide it equally?
They will get 167 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
1503/9 = 167
Problem 2
A rectangular garden has a length of 3 meters, and the total area is 1503 square meters. Find the width.
501 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1503 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1503/3 = width
Width = 501.
Problem 3
There are 3 boxes and 1503 marbles. How many marbles will be in each box?
Each box will have 501 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1503/3 = 501
Problem 4
In a class, there are 1503 students, and 3 groups. How many students are there in each group?
There are 501 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1503/3 = 501
Problem 5
1503 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 501 books.
Explanation
Divide total books with shelves.
1503/3 = 501
FAQs on Factors of 1503
1.What are the factors of 1503?
2.Mention the prime factors of 1503.
3.Is 1503 a multiple of 9?
4.Mention the factor pairs of 1503?
5.What is the square of 1503?
6.How can children in United States use numbers in everyday life to understand Factors of 1503?
7.What are some fun ways kids in United States can practice Factors of 1503 with numbers?
8.What role do numbers and Factors of 1503 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1503 skills?
Important Glossaries for Factor of 1503
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1503 are 1, 3, 9, 167, 501, and 1503.
- Prime factors: The factors which are prime numbers. For example, 3 and 167 are prime factors of 1503.
- 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 1503 are (1, 1503), (3, 501), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1503 is 3 × 167.
- Multiplication method: Identifying pairs of numbers that multiply to give the original number. For example, for 1503, using the multiplication method gives us factor pairs like (3, 501).
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About BrightChamps in United States
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.
