114 LearnersLast updated on June 10th, 2025
Factors of 1502
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.
What are the Factors of 1502?
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
How to Find Factors of 1502?
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 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.
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 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.
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 a factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1502
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 1502, 1 and 1502 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 1502 consist of -1, -2, -751, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1502/1.5 = 1001.333, 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 1502 are prime numbers.
For example, 2 and 751 are the prime factors of 1502, but it also includes factors like 1 and 1502.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1502 as 2 × 751 and missing all the key factors.
Factors of 1502 Examples
Problem 1
There are 4 groups and 1502 pencils. How will they divide them equally?
They will get 375 pencils each.
Explanation
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)
Problem 2
A rectangular room has a length of 2 meters and a total area of 1502 square meters. Find the width.
751 meters.
Explanation
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.
Problem 3
There are 751 marbles and 2 containers. How many marbles will be in each container?
Each container will have 375 marbles.
Explanation
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)
Problem 4
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.
Explanation
Dividing the employees with the total teams, we will get the number of employees in each team.
1502/2 = 751
Problem 5
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.
Explanation
Divide total candies with jars.
1502/2 = 751
FAQs on Factors of 1502
1.What are the factors of 1502?
2.Mention the prime factors of 1502.
3.Is 1502 a multiple of 2?
4.Mention the factor pairs of 1502?
5.What is the square of 1502?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1502?
7.What are some fun ways kids in Qatar can practice Factors of 1502 with numbers?
8.What role do numbers and Factors of 1502 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1502 skills?
Important Glossaries for Factors of 1502
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1502 are 1, 2, 751, and 1502.
- Prime factors: The factors which are prime numbers. For example, 2 and 751 are prime factors of 1502.
- 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 1502 are (1, 1502) and (2, 751).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1502 is 2 × 751.
- Negative factors: Negative numbers that divide the original number without leaving a remainder. For example, the negative factors of 1502 are -1, -2, -751, and -1502.
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About BrightChamps in Qatar
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.
