100 LearnersLast updated on May 26th, 2025
Factors of 1293
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 1293, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1293?
The numbers that divide 1293 evenly are known as factors of 1293.
A factor of 1293 is a number that divides the number without a remainder.
The factors of 1293 are 1, 3, 431, and 1293.
Negative factors of 1293: -1, -3, -431, and -1293.
Prime factors of 1293: 3 and 431.
Prime factorization of 1293: 3 × 431.
The sum of factors of 1293: 1 + 3 + 431 + 1293 = 1728
How to Find Factors of 1293?
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 1293. Identifying the numbers which are multiplied to get the number 1293 is the multiplication method.
Step 1: Multiply 1293 by 1, 1293 × 1 = 1293.
Step 2: Check for other numbers that give 1293 after multiplying
3 × 431 = 1293
Therefore, the positive factor pairs of 1293 are: (1, 1293) and (3, 431).
All these factor pairs result in 1293.
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 1293 by 1, 1293 ÷ 1 = 1293.
Step 2: Continue dividing 1293 by the numbers until the remainder becomes 0.
1293 ÷ 1 = 1293
1293 ÷ 3 = 431
1293 ÷ 431 = 3
Therefore, the factors of 1293 are: 1, 3, 431, 1293.
Prime Factors and Prime Factorization
The factors can be found by dividing them with a prime number. 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 1293 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1293 ÷ 3 = 431
431 ÷ 431 = 1
The prime factors of 1293 are 3 and 431.
The prime factorization of 1293 is: 3 × 431.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1293 is divided by 3 to get 431.
Step 2: Now, divide 431 by 431 to get 1.
Here, 431 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1293 is: 3 × 431.
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 1293: (1, 1293) and (3, 431).
Negative factor pairs of 1293: (-1, -1293) and (-3, -431).
Common Mistakes and How to Avoid Them in Factors of 1293
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1293, 1 and 1293 are also factors.
Factors of 1293 Examples
Problem 1
There are 3 teams and 1293 participants. How will they divide equally?
Each team will have 431 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1293/3 = 431
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1293 square meters. Find the width.
431 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1293 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1293/3 = width
Width = 431.
Problem 3
There are 431 containers and 1293 liters of water. How many liters will be in each container?
Each container will have 3 liters.
Explanation
To find the liters in each container, divide the total liters by the containers.
1293/431 = 3
Problem 4
In a seminar, there are 1293 chairs, and 3 sections. How many chairs are there in each section?
There are 431 chairs in each section.
Explanation
Dividing the chairs by the total sections, we will get the number of chairs in each section.
1293/3 = 431
Problem 5
1293 books need to be arranged in 3 bookcases. How many books will go on each bookcase?
Each of the bookcases has 431 books.
Explanation
Divide total books by bookcases.
1293/3 = 431
FAQs on Factors of 1293
1.What are the factors of 1293?
2.Mention the prime factors of 1293.
3.Is 1293 a multiple of 3?
4.Mention the factor pairs of 1293?
5.What is the square of 1293?
6.How can children in Philippines use numbers in everyday life to understand Factors of 1293?
7.What are some fun ways kids in Philippines can practice Factors of 1293 with numbers?
8.What role do numbers and Factors of 1293 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 1293 skills?
Important Glossaries for Factor of 1293
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1293 are 1, 3, 431, and 1293.
- Prime factors: The factors which are prime numbers. For example, 3 and 431 are prime factors of 1293.
- 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 1293 are (1, 1293) and (3, 431).
- Positive factors: Factors that are positive numbers. For example, 1 and 3 are positive factors of 1293.
- Negative factors: Factors that are negative numbers. For example, -1 and -3 are negative factors of 1293.
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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.
