Last updated on May 26th, 2025
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.
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
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 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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 9 students and 1503 candies. How will they divide it equally?
They will get 167 candies each.
To divide the candies equally, we need to divide the total candies with the number of students.
1503/9 = 167
A rectangular garden has a length of 3 meters, and the total area is 1503 square meters. Find the width.
501 meters.
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.
There are 3 boxes and 1503 marbles. How many marbles will be in each box?
Each box will have 501 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
1503/3 = 501
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.
Dividing the students with the total groups, we will get the number of students in each group.
1503/3 = 501
1503 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 501 books.
Divide total books with shelves.
1503/3 = 501
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.