100 LearnersLast updated on May 26th, 2025
Factors of 1302
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 1302, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1302?
The numbers that divide 1302 evenly are known as factors of 1302.
A factor of 1302 is a number that divides the number without remainder.
The factors of 1302 are 1, 2, 3, 6, 217, 434, 651, and 1302.
Negative factors of 1302: -1, -2, -3, -6, -217, -434, -651, and -1302.
Prime factors of 1302: 2, 3, and 217.
Prime factorization of 1302: 2 × 3 × 217.
The sum of factors of 1302: 1 + 2 + 3 + 6 + 217 + 434 + 651 + 1302 = 2616
How to Find Factors of 1302?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1302. Identifying the numbers which are multiplied to get the number 1302 is the multiplication method.
Step 1: Multiply 1302 by 1, 1302 × 1 = 1302.
Step 2: Check for other numbers that give 1302 after multiplying
2 × 651 = 1302
3 × 434 = 1302
6 × 217 = 1302
Therefore, the positive factor pairs of 1302 are: (1, 1302), (2, 651), (3, 434), (6, 217).
All these factor pairs result in 1302.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1302 by 1, 1302 ÷ 1 = 1302.
Step 2: Continue dividing 1302 by numbers until the remainder becomes 0.
1302 ÷ 1 = 1302
1302 ÷ 2 = 651
1302 ÷ 3 = 434
1302 ÷ 6 = 217
Therefore, the factors of 1302 are: 1, 2, 3, 6, 217, 434, 651, 1302.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1302 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1302 ÷ 2 = 651
651 ÷ 3 = 217
217 ÷ 217 = 1
The prime factors of 1302 are 2, 3, and 217.
The prime factorization of 1302 is: 2 × 3 × 217.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1302 is divided by 2 to get 651.
Step 2: Now divide 651 by 3 to get 217.
Step 3: Divide 217 by 217 to get 1.
Here, 217 is a prime number that cannot be divided anymore.
So, the prime factorization of 1302 is: 2 × 3 × 217.
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 1302: (1, 1302), (2, 651), (3, 434), and (6, 217).
Negative factor pairs of 1302: (-1, -1302), (-2, -651), (-3, -434), and (-6, -217).
Common Mistakes and How to Avoid Them in Factors of 1302
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1302, 1 and 1302 are also factors.
Factors of 1302 Examples
Problem 1
There are 6 teams and 1302 points. How will the points be divided equally among the teams?
Each team will get 217 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1302/6 = 217
Problem 2
A painting is rectangular, the length of the painting is 3 meters and the total area is 1302 square meters. Find the width.
434 meters.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
1302 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1302/3 = width
Width = 434.
Problem 3
There are 2 shelves and 1302 books. How many books will be on each shelf?
Each shelf will have 651 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
1302/2 = 651
Problem 4
In a class, there are 1302 students, and 217 groups. How many students are there in each group?
There are 6 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1302/217 = 6
Problem 5
1302 seeds need to be planted in 3 trays. How many seeds will go in each tray?
Each of the trays has 434 seeds.
Explanation
Divide total seeds by trays.
1302/3 = 434
FAQs on Factors of 1302
1.What are the factors of 1302?
2.Mention the prime factors of 1302.
3.Is 1302 a multiple of 6?
4.Mention the factor pairs of 1302?
5.What is the square of 1302?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1302?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1302 with numbers?
8.What role do numbers and Factors of 1302 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1302 skills?
Important Glossaries for Factors of 1302
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1302 are 1, 2, 3, 6, 217, 434, 651, and 1302.
Prime factors: The factors which are prime numbers. For example, 2, 3, and 217 are prime factors of 1302.
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 1302 are (1, 1302), (2, 651), etc.
Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1302 is 2 × 3 × 217.
Multiplication method for factors: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, (2, 651) is a multiplication factor pair of 1302.
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About BrightChamps in United Arab Emirates
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.
