100 LearnersLast updated on May 26th, 2025
Factors of 1109
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1109, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1109?
The numbers that divide 1109 evenly are known as factors of 1109.
A factor of 1109 is a number that divides the number without remainder.
The factors of 1109 are 1, 19, 59, and 1109.
Negative factors of 1109: -1, -19, -59, and -1109.
Prime factors of 1109: 19 and 59.
Prime factorization of 1109: 19 × 59.
The sum of factors of 1109: 1 + 19 + 59 + 1109 = 1188
How to Find Factors of 1109?
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 1109. Identifying the numbers which are multiplied to get the number 1109 is the multiplication method.
Step 1: Multiply 1109 by 1, 1109 × 1 = 1109.
Step 2: Check for other numbers that give 1109 after multiplying 19 × 59 = 1109
Therefore, the positive factor pairs of 1109 are: (1, 1109), (19, 59).
All these factor pairs result in 1109.
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 1109 by 1, 1109 ÷ 1 = 1109.
Step 2: Continue dividing 1109 by the numbers until the remainder becomes 0.
1109 ÷ 1 = 1109
1109 ÷ 19 = 59
1109 ÷ 59 = 19
1109 ÷ 1109 = 1
Therefore, the factors of 1109 are: 1, 19, 59, 1109.
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 1109 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1109 ÷ 19 = 59
59 ÷ 59 = 1
The prime factors of 1109 are 19 and 59.
The prime factorization of 1109 is: 19 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1109 is divided by 19 to get 59.
Step 2: Now divide 59 by 59 to get 1. So, the prime factorization of 1109 is:
19 × 59.
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 1109: (1, 1109), (19, 59).
Negative factor pairs of 1109: (-1, -1109), (-19, -59).
Common Mistakes and How to Avoid Them in Factors of 1109
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 1109, 1 and 1109 are also factors.
Factors of 1109 Examples
Problem 1
There are 19 teams and 1109 players. How many players will be in each team?
Each team will have 59 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
1109/19 = 59
Problem 2
A garden is rectangular, the length of the garden is 59 meters, and the total area is 1109 square meters. Find the width.
19 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1109 = 59 × width
To find the value of width, we need to shift 59 to the left side.
1109/59 = width
Width = 19.
Problem 3
There are 59 boxes and 1109 toys. How many toys will be in each box?
Each box will have 19 toys.
Explanation
To find the toys in each box, divide the total toys by the boxes.
1109/59 = 19
Problem 4
In a seminar, there are 1109 attendees, and 19 groups. How many attendees are there in each group?
There are 59 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
1109/19 = 59
Problem 5
1109 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 59 books.
Explanation
Divide total books by shelves.
1109/19 = 59
FAQs on Factors of 1109
1.What are the factors of 1109?
2.Mention the prime factors of 1109.
3.Is 1109 a multiple of 19?
4.Mention the factor pairs of 1109?
5.What is the square of 1109?
6.How can children in Australia use numbers in everyday life to understand Factors of 1109?
7.What are some fun ways kids in Australia can practice Factors of 1109 with numbers?
8.What role do numbers and Factors of 1109 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1109 skills?
Important Glossaries for Factor of 1109
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1109 are 1, 19, 59, and 1109.
- Prime factors: The factors which are prime numbers. For example, 19 and 59 are prime factors of 1109.
- 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 1109 are (1, 1109) and (19, 59).
- Prime factorization: The expression of a number as the product of its prime factors. For 1109, it is 19 × 59.
- Negative factors: Factors that are negative numbers. For example, -1, -19, -59, and -1109 for 1109.
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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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