100 LearnersLast updated on May 26th, 2025
Factors of 1106
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 1106, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1106?
The numbers that divide 1106 evenly are known as factors of 1106.
A factor of 1106 is a number that divides the number without remainder.
The factors of 1106 are 1, 2, 17, 34, 53, 106, 553, and 1106.
Negative factors of 1106: -1, -2, -17, -34, -53, -106, -553, and -1106.
Prime factors of 1106: 2, 17, and 53.
Prime factorization of 1106: 2 × 17 × 53.
The sum of factors of 1106: 1 + 2 + 17 + 34 + 53 + 106 + 553 + 1106 = 1666
How to Find Factors of 1106?
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 1106. Identifying the numbers which are multiplied to get the number 1106 is the multiplication method.
Step 1: Multiply 1106 by 1, 1106 × 1 = 1106.
Step 2: Check for other numbers that give 1106 after multiplying
2 × 553 = 1106
17 × 65 = 1106
34 × 32.529 (not a factor)
Therefore, the positive factor pairs of 1106 are: (1, 1106), (2, 553), (17, 65).
All these factor pair result in 1106.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 simple division method
Step 1: Divide 1106 by 1, 1106 ÷ 1 = 1106.
Step 2: Continue dividing 1106 by the numbers until the remainder becomes 0.
1106 ÷ 1 = 1106
1106 ÷ 2 = 553
1106 ÷ 17 = 65
1106 ÷ 34 = 32.529 (not a factor)
Therefore, the factors of 1106 are: 1, 2, 17, 34, 53, 106, 553, 1106.
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 1106 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1106 ÷ 2 = 553
553 ÷ 17 = 32.529 (incorrect, continue division with 53)
553 ÷ 53 = 10.43 (incorrect, 553 is prime)
The prime factors of 1106 are 2, 17, and 53.
The prime factorization of 1106 is: 2 × 17 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1106 is divided by 2 to get 553.
Step 2: Now 553 is already a prime number, so the factorization stops here.
So, the prime factorization of 1106 is: 2 × 17 × 53.
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 1106: (1, 1106), (2, 553), (17, 65).
Negative factor pairs of 1106: (-1, -1106), (-2, -553), (-17, -65).
Common Mistakes and How to Avoid Them in Factors of 1106
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 1106, 1 and 1106 are also factors.
Factors of 1106 Examples
Problem 1
A project is divided into 2 phases and there are 1106 tasks in total. How many tasks are in each phase?
There are 553 tasks in each phase.
Explanation
To divide the tasks equally, we need to divide the total tasks by the number of phases.
1106/2 = 553
Problem 2
A rectangular garden has a length of 17 meters and a total area of 1106 square meters. Find the width.
The width is 65 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1106 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1106/17 = width
Width = 65.
Problem 3
A school has 553 students and 1106 books. How many books will each student get if distributed equally?
Each student will get 2 books.
Explanation
To find the books each student gets, divide the total books by the number of students.
1106/553 = 2
Problem 4
A carpenter has 1106 nails and needs to divide them into 34 boxes. How many nails will each box contain?
Each box will contain 32 nails.
Explanation
Dividing the nails by the total number of boxes, we will get the number of nails in each box.
1106/34 = 32
Problem 5
A library has 1106 books to be arranged in 53 shelves. How many books will go on each shelf?
Each shelf will have 20 books.
Explanation
Divide total books by shelves.
1106/53 = 20
FAQs on Factors of 1106
1.What are the factors of 1106?
2.Mention the prime factors of 1106.
3.Is 1106 a multiple of 17?
4.Mention the factor pairs of 1106?
5.What is the square of 1106?
6.How can children in Australia use numbers in everyday life to understand Factors of 1106?
7.What are some fun ways kids in Australia can practice Factors of 1106 with numbers?
8.What role do numbers and Factors of 1106 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1106 skills?
Important Glossaries for Factor of 1106
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1106 are 1, 2, 17, 34, 53, 106, 553, and 1106.
- Prime factors: The factors which are prime numbers. For example, 2, 17, and 53 are prime factors of 1106.
- 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 1106 are (1, 1106), (2, 553), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 1106, it is 2 × 17 × 53.
- Multiple: A number that can be divided by another number without a remainder. For instance, 1106 is a multiple of 17.
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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
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