100 LearnersLast updated on May 26th, 2025
Factors of 1393
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 1393, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1393?
The numbers that divide 1393 evenly are known as factors of 1393.
A factor of 1393 is a number that divides the number without remainder.
The factors of 1393 are 1, 19, 73, and 1393.
Negative factors of 1393: -1, -19, -73, and -1393.
Prime factors of 1393: 19 and 73.
Prime factorization of 1393: 19 × 73.
The sum of factors of 1393: 1 + 19 + 73 + 1393 = 1486
How to Find Factors of 1393?
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 1393. Identifying the numbers which are multiplied to get the number 1393 is the multiplication method.
Step 1: Multiply 1393 by 1, 1393 × 1 = 1393.
Step 2: Check for other numbers that give 1393 after multiplying 19 × 73 = 1393
Therefore, the positive factor pairs of 1393 are: (1, 1393) and (19, 73).
All these factor pairs result in 1393.
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 1393 by 1, 1393 ÷ 1 = 1393.
Step 2: Continue dividing 1393 by the numbers until the remainder becomes 0.
1393 ÷ 1 = 1393
1393 ÷ 19 = 73
1393 ÷ 73 = 19
1393 ÷ 1393 = 1
Therefore, the factors of 1393 are: 1, 19, 73, and 1393.
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 1393 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1393 ÷ 19 = 73
73 ÷ 73 = 1
The prime factors of 1393 are 19 and 73.
The prime factorization of 1393 is: 19 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1393 is divided by 19 to get 73.
Step 2: Now divide 73 by 73 to get 1. Here, 73 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1393 is: 19 × 73.
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 1393: (1, 1393) and (19, 73).
Negative factor pairs of 1393: (-1, -1393) and (-19, -73).
Common Mistakes and How to Avoid Them in Factors of 1393
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 1393, 1 and 1393 are also factors.
Factors of 1393 Examples
Problem 1
There are 1393 apples to be packed into boxes. Each box can hold 73 apples. How many boxes are needed?
19 boxes are needed.
Explanation
To find the number of boxes needed, we need to divide the total apples by the capacity of each box.
1393/73 = 19
Problem 2
A garden is rectangular, the width of the garden is 19 meters and the total area is 1393 square meters. Find the length.
73 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width 1393 = 19 × length
To find the value of length, we need to shift 19 to the left side.
1393/19 = length
Length = 73.
Problem 3
There are 73 students participating in a competition, and each student will receive 19 tokens. How many tokens are needed in total?
1393 tokens are needed.
Explanation
To find the total number of tokens needed, multiply the number of students by the number of tokens each receives.
73 × 19 = 1393
Problem 4
A company is distributing 1393 promotional flyers equally among 19 branches. How many flyers will each branch receive?
Each branch will receive 73 flyers.
Explanation
Dividing the flyers by the number of branches, we will get the number of flyers for each branch.
1393/19 = 73
Problem 5
1393 books need to be arranged in 73 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books by shelves.
1393/73 = 19
FAQs on Factors of 1393
1.What are the factors of 1393?
2.Mention the prime factors of 1393.
3.Is 1393 a multiple of 19?
4.Mention the factor pairs of 1393?
5.What is the square of 1393?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1393?
7.What are some fun ways kids in Bahrain can practice Factors of 1393 with numbers?
8.What role do numbers and Factors of 1393 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1393 skills?
Important Glossaries for Factor of 1393
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1393 are 1, 19, 73, and 1393.
- Prime factors: The factors which are prime numbers. For example, 19 and 73 are prime factors of 1393.
- 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 1393 are (1, 1393) and (19, 73).
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to the target number.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1393 is 19 × 73.
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About BrightChamps in Bahrain
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.
