101 LearnersLast updated on May 26th, 2025
Factors of 1092
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 1092, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1092?
The numbers that divide 1092 evenly are known as factors of 1092.
A factor of 1092 is a number that divides the number without remainder.
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 36, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, and 1092.
Negative factors of 1092: -1, -2, -3, -4, -6, -7, -12, -13, -14, -21, -26, -28, -36, -39, -42, -52, -78, -84, -91, -156, -182, -273, -364, -546, and -1092.
Prime factors of 1092: 2, 3, and 7.
Prime factorization of 1092: 2² × 3 × 7 × 13.
The sum of factors of 1092: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 13 + 14 + 21 + 26 + 28 + 36 + 39 + 42 + 52 + 78 + 84 + 91 + 156 + 182 + 273 + 364 + 546 + 1092 = 2970
How to Find Factors of 1092?
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 1092. Identifying the numbers which are multiplied to get the number 1092 is the multiplication method.
Step 1: Multiply 1092 by 1, 1092 × 1 = 1092.
Step 2: Check for other numbers that give 1092 after multiplying
2 × 546 = 1092
3 × 364 = 1092
4 × 273 = 1092
6 × 182 = 1092
7 × 156 = 1092
Therefore, the positive factor pairs of 1092 are: (1, 1092), (2, 546), (3, 364), (4, 273), (6, 182), (7, 156), (12, 91), (13, 84), (14, 78), (21, 52), (26, 42), (28, 39).
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 the simple division method -
Step 1: Divide 1092 by 1, 1092 ÷ 1 = 1092.
Step 2: Continue dividing 1092 by the numbers until the remainder becomes 0.
1092 ÷ 1 = 1092
1092 ÷ 2 = 546
1092 ÷ 3 = 364
1092 ÷ 4 = 273
1092 ÷ 6 = 182
1092 ÷ 7 = 156
Therefore, the factors of 1092 are: 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 36, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, and 1092.
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 1092 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1092 ÷ 2 = 546
546 ÷ 2 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
The prime factors of 1092 are 2, 3, 7, and 13.
The prime factorization of 1092 is: 2² × 3 × 7 × 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, 1092 is divided by 2 to get 546.
Step 2: Now divide 546 by 2 to get 273.
Step 3: Then divide 273 by 3 to get 91.
Step 4: Divide 91 by 7 to get 13.
Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1092 is: 2² × 3 × 7 × 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 1092: (1, 1092), (2, 546), (3, 364), (4, 273), (6, 182), (7, 156), (12, 91), (13, 84), (14, 78), (21, 52), (26, 42), (28, 39).
Negative factor pairs of 1092: (-1, -1092), (-2, -546), (-3, -364), (-4, -273), (-6, -182), (-7, -156), (-12, -91), (-13, -84), (-14, -78), (-21, -52), (-26, -42), (-28, -39).
Common Mistakes and How to Avoid Them in Factors of 1092
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1092, 1 and 1092 are also factors.
Factors of 1092 Examples
Problem 1
There are 13 friends and 1092 marbles. How will they divide it equally?
They will get 84 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
1092 ÷ 13 = 84
Problem 2
A field is rectangular, the length of the field is 42 meters, and the total area is 1092 square meters. Find the width.
26 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1092 = 42 × width
To find the value of width, we need to shift 42 to the left side.
1092 ÷ 42 = width Width = 26.
Problem 3
There are 21 bags and 1092 candies. How many candies will be in each bag?
Each bag will have 52 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
1092 ÷ 21 = 52
Problem 4
In a class, there are 1092 students, and 6 groups. How many students are there in each group?
There are 182 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1092 ÷ 6 = 182
Problem 5
1092 books need to be arranged in 14 shelves. How many books will go on each shelf?
Each of the shelves has 78 books.
Explanation
Divide total books with shelves.
1092 ÷ 14 = 78
FAQs on Factors of 1092
1.What are the factors of 1092?
2.Mention the prime factors of 1092.
3.Is 1092 a multiple of 13?
4.Mention the factor pairs of 1092?
5.What is the square of 1092?
6.How can children in Australia use numbers in everyday life to understand Factors of 1092?
7.What are some fun ways kids in Australia can practice Factors of 1092 with numbers?
8.What role do numbers and Factors of 1092 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1092 skills?
Important Glossaries for Factor of 1092
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 36, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, and 1092.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 7, and 13 are prime factors of 1092.
- 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 1092 are (1, 1092), (2, 546), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the number. For example, using the multiplication method to find factors of 1092.
- Prime factorization: A method to express a number as a product of its prime factors. For example, the prime factorization of 1092 is 2² × 3 × 7 × 13.
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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.
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