100 LearnersLast updated on May 27th, 2025
Factors of 1192
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 1192, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1192?
The numbers that divide 1192 evenly are known as factors of 1192.
A factor of 1192 is a number that divides the number without remainder.
The factors of 1192 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 298, 476, 596, and 1192.
Negative factors of 1192: -1, -2, -4, -7, -8, -14, -17, -28, -34, -56, -68, -119, -136, -238, -298, -476, -596, and -1192.
Prime factors of 1192: 2 and 7.
Prime factorization of 1192: 2³ × 149.
The sum of factors of 1192: 1 + 2 + 4 + 7 + 8 + 14 + 17 + 28 + 34 + 56 + 68 + 119 + 136 + 238 + 298 + 476 + 596 + 1192 = 3300
How to Find Factors of 1192?
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 1192. Identifying the numbers which are multiplied to get the number 1192 is the multiplication method.
Step 1: Multiply 1192 by 1, 1192 × 1 = 1192.
Step 2: Check for other numbers that give 1192 after multiplying
2 × 596 = 1192
4 × 298 = 1192
7 × 170 = 1192
8 × 149 = 1192
Therefore, the positive factor pairs of 1192 are: (1, 1192), (2, 596), (4, 298), (7, 170), (8, 149). All these factor pairs result in 1192.
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 a simple division method -
Step 1: Divide 1192 by 1, 1192 ÷ 1 = 1192.
Step 2: Continue dividing 1192 by the numbers until the remainder becomes 0.
1192 ÷ 1 = 1192
1192 ÷ 2 = 596
1192 ÷ 4 = 298
1192 ÷ 7 = 170
1192 ÷ 8 = 149
Therefore, the factors of 1192 are: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 298, 476, 596, 1192.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1192 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1192 ÷ 2 = 596
596 ÷ 2 = 298
298 ÷ 2 = 149
149 is a prime number, so it cannot be divided further.
The prime factors of 1192 are 2 and 149.
The prime factorization of 1192 is: 2³ × 149.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1192 is divided by 2 to get 596.
Step 2: Now divide 596 by 2 to get 298.
Step 3: Then divide 298 by 2 to get 149. 149 is a prime number, so it cannot be divided anymore. So, the prime factorization of 1192 is: 2³ × 149.
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 1192: (1, 1192), (2, 596), (4, 298), (7, 170), and (8, 149).
Negative factor pairs of 1192: (-1, -1192), (-2, -596), (-4, -298), (-7, -170), and (-8, -149).
Common Mistakes and How to Avoid Them in Factors of 1192
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 1192, 1 and 1192 are also factors.
Factors of 1192 Examples
Problem 1
There are 14 people and 1192 apples. How will they divide it equally?
They will get 85 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
1192/14 = 85
Problem 2
A field is rectangular, the length of the field is 17 meters and the total area is 1192 square meters. Find the width.
70.117 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
1192 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1192/17 = width
Width ≈ 70.117.
Problem 3
There are 28 compartments and 1192 items. How many items will be in each compartment?
Each compartment will have 42 items.
Explanation
To find the items in each compartment, divide the total items by the compartments.
1192/28 = 42
Problem 4
In a class, there are 1192 students, and 56 groups. How many students are there in each group?
There are 21 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1192/56 = 21
Problem 5
1192 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 70 books.
Explanation
Divide total books by shelves.
1192/17 = 70
FAQs on Factors of 1192
1.What are the factors of 1192?
2.Mention the prime factors of 1192.
3.Is 1192 a multiple of 4?
4.Mention the factor pairs of 1192?
5.What is the square of 1192?
Important Glossaries for Factor of 1192
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1192 are 1, 2, 4, 7, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 149 are prime factors of 1192.
- 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 1192 are (1, 1192), (2, 596), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1192 is 2³ × 149.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number. For example, using the multiplication method to find factor pairs of 1192.
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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.
