132 LearnersLast updated on May 29th, 2025
Factors of 1193
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 1193, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1193?
The numbers that divide 1193 evenly are known as factors of 1193.
A factor of 1193 is a number that divides the number without remainder.
The factors of 1193 are 1, 7, 13, 91, 1193.
Negative factors of 1193: -1, -7, -13, -91, and -1193.
Prime factors of 1193: 7 and 13.
Prime factorization of 1193: 7 × 13 × 13.
The sum of factors of 1193: 1 + 7 + 13 + 91 + 1193 = 1305
How to Find Factors of 1193?
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 1193. Identifying the numbers which are multiplied to get the number 1193 is the multiplication method.
Step 1: Multiply 1193 by 1, 1193 × 1 = 1193.
Step 2: Check for other numbers that give 1193 after multiplying 7 × 13 × 13 = 1193
Therefore, the positive factor pairs of 1193 are: (1, 1193), (7, 13), (13, 91).
All these factor pairs result in 1193. 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 in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1193 by 1, 1193 ÷ 1 = 1193.
Step 2: Continue dividing 1193 by the numbers until the remainder becomes 0.
1193 ÷ 1 = 1193
1193 ÷ 7 = 13
1193 ÷ 13 = 91
Therefore, the factors of 1193 are: 1, 7, 13, 91, and 1193.
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 1193 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1193 ÷ 7 = 13
13 ÷ 13 = 1
The prime factors of 1193 are 7 and 13.
The prime factorization of 1193 is: 7 × 13 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1193 is divided by 7 to get 13.
Step 2: Now divide 13 by 13 to get 1. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1193 is: 7 × 13 × 13.
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 1193: (1, 1193), (7, 13), (13, 91).
Negative factor pairs of 1193: (-1, -1193), (-7, -13), (-13, -91).
Common Mistakes and How to Avoid Them in Factors of 1193
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 1193, 1 and 1193 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 1193 consist of -1, -7, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1193/1.5 = 795.333, 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 1193 are prime numbers. For example, 7 and 13 are the prime factors of 1193, but it has other factors like 91.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1193 as 7 × 13 × 13 and missing all the key factors.
Factors of 1193 Examples
Problem 1
There are 13 friends and 1193 candies. How will they divide it equally?
They will get 91 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1193/13 = 91
Problem 2
A rectangular garden has a length of 91 meters and a total area of 1193 square meters. What is the width?
13 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1193 = 91 × width
To find the value of width, we need to shift 91 to the left side.
1193/91 = width
Width = 13.
Problem 3
There are 7 crates and 1193 apples. How many apples will be in each crate?
Each crate will have 170 apples and one crate will have 173 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
1193/7 = 170 with a remainder of 3, so three crates will get an extra apple.
Problem 4
In a class, there are 1193 students, and they need to form groups of 91. How many groups can be formed?
13 groups can be formed.
Explanation
Dividing the students by the group size, we will get the number of groups.
1193/91 = 13
Problem 5
1193 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves will have 91 books.
Explanation
Divide total books by shelves.
1193/13 = 91
FAQs on Factors of 1193
1.What are the factors of 1193?
2.Mention the prime factors of 1193.
3.Is 1193 a multiple of 7?
4.Mention the factor pairs of 1193?
5.What is the square of 1193?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1193?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1193 with numbers?
8.What role do numbers and Factors of 1193 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 1193 skills?
Important Glossaries for Factors of 1193
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1193 are 1, 7, 13, 91, and 1193.
- Prime factors: The factors which are prime numbers. For example, 7 and 13 are prime factors of 1193.
- 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 1193 are (1, 1193), (7, 13), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1193 is 7 × 13 × 13.
- Negative factors: Negative numbers that divide the original number without leaving a remainder. For example, -1, -7, -13, -91, and -1193 are negative factors of 1193.
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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.
