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 1502, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1502 evenly are known as factors of 1502.
A factor of 1502 is a number that divides the number without a remainder.
The factors of 1502 are 1, 2, 751, and 1502.
Negative factors of 1502: -1, -2, -751, and -1502.
Prime factors of 1502: 2 and 751.
Prime factorization of 1502: 2 × 751.
The sum of factors of 1502: 1 + 2 + 751 + 1502 = 2256
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 1502. Identifying the numbers which are multiplied to get the number 1502 is the multiplication method.
Step 1: Multiply 1502 by 1, 1502 × 1 = 1502.
Step 2: Check for other numbers that give 1502 after multiplying
2 × 751 = 1502
Therefore, the positive factor pairs of 1502 are: (1, 1502) and (2, 751).
All these factor pairs result in 1502.
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 a simple division method
Step 1: Divide 1502 by 1, 1502 ÷ 1 = 1502.
Step 2: Continue dividing 1502 by the numbers until the remainder becomes 0.
1502 ÷ 1 = 1502
1502 ÷ 2 = 751
Therefore, the factors of 1502 are: 1, 2, 751, 1502.
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 1502 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1502 ÷ 2 = 751
751 is a prime number and cannot be divided further.
The prime factors of 1502 are 2 and 751.
The prime factorization of 1502 is: 2 × 751.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1502 is divided by 2 to get 751. Here, 751 is a prime number and cannot be divided further. So, the prime factorization of 1502 is: 2 × 751.
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 1502: (1, 1502) and (2, 751).
Negative factor pairs of 1502: (-1, -1502) and (-2, -751).
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 4 groups and 1502 pencils. How will they divide them equally?
They will get 375 pencils each.
To divide the pencils equally, we need to divide the total pencils with the number of groups.
1502/4 = 375.5 (Since it does not divide evenly, the closest whole number is used)
A rectangular room has a length of 2 meters and a total area of 1502 square meters. Find the width.
751 meters.
To find the width of the room, we use the formula, Area = length × width
1502 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1502/2 = width
Width = 751.
There are 751 marbles and 2 containers. How many marbles will be in each container?
Each container will have 375 marbles.
To find the marbles in each container, divide the total marbles with the containers.
751/2 = 375.5 (Since it does not divide evenly, the closest whole number is used)
A company has 1502 employees, and they want to form 2 teams. How many employees are there in each team?
There are 751 employees in each team.
Dividing the employees with the total teams, we will get the number of employees in each team.
1502/2 = 751
1502 pieces of candy need to be arranged in 2 jars. How many candies will go in each jar?
Each of the jars has 751 candies.
Divide total candies with jars.
1502/2 = 751
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.