101 LearnersLast updated on May 26th, 2025
Factors of 1069
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 1069, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1069?
The numbers that divide 1069 evenly are known as factors of 1069.
A factor of 1069 is a number that divides the number without remainder.
The factors of 1069 are 1, 11, 97, and 1069.
Negative factors of 1069: -1, -11, -97, and -1069.
Prime factors of 1069: 11 and 97.
Prime factorization of 1069: 11 × 97.
The sum of factors of 1069: 1 + 11 + 97 + 1069 = 1178
How to Find Factors of 1069?
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 1069. Identifying the numbers which are multiplied to get the number 1069 is the multiplication method.
Step 1: Multiply 1069 by 1, 1069 × 1 = 1069.
Step 2: Check for other numbers that give 1069 after multiplying
11 × 97 = 1069
Therefore, the positive factor pairs of 1069 are: (1, 1069) and (11, 97).
All these factor pairs result in 1069.
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 a simple division method -
Step 1: Divide 1069 by 1, 1069 ÷ 1 = 1069.
Step 2: Continue dividing 1069 by the numbers until the remainder becomes 0.
1069 ÷ 1 = 1069
1069 ÷ 11 = 97
Therefore, the factors of 1069 are: 1, 11, 97, and 1069.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1069 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1069 ÷ 11 = 97
97 ÷ 97 = 1
The prime factors of 1069 are 11 and 97.
The prime factorization of 1069 is: 11 × 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1069 is divided by 11 to get 97.
Step 2: Now divide 97 by 97 to get 1.
So, the prime factorization of 1069 is: 11 × 97.
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 1069: (1, 1069) and (11, 97).
Negative factor pairs of 1069: (-1, -1069) and (-11, -97).
Common Mistakes and How to Avoid Them in Factors of 1069
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 1069, 1 and 1069 are also factors.
Factors of 1069 Examples
Problem 1
There are 11 teams and 1069 points. How will the points be distributed equally?
Each team will get 97 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1069/11 = 97
Problem 2
A painting is 97 centimeters wide, and the total area is 1069 square centimeters. Find the height?
11 centimeters.
Explanation
To find the height of the painting, we use the formula,
Area = width × height
1069 = 97 × height
To find the value of height, we need to shift 97 to the left side.
1069/97 = height
Height = 11.
Problem 3
There are 97 boxes and 1069 items. How many items will be in each box?
Each box will have 11 items.
Explanation
To find the items in each box, divide the total items by the boxes.
1069/97 = 11
Problem 4
In a school, there are 1069 students, and 11 classes. How many students are there in each class?
There are 97 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1069/11 = 97
Problem 5
1069 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 97 books.
Explanation
Divide total books by shelves.
1069/11 = 97
FAQs on Factors of 1069
1.What are the factors of 1069?
2.Mention the prime factors of 1069.
3.Is 1069 a multiple of 11?
4.Mention the factor pairs of 1069?
5.What is the square of 1069?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1069?
7.What are some fun ways kids in United Kingdom can practice Factors of 1069 with numbers?
8.What role do numbers and Factors of 1069 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1069 skills?
Important Glossaries for Factors of 1069
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1069 are 1, 11, 97, and 1069.
- Prime factors: The factors which are prime numbers. For example, 11 and 97 are prime factors of 1069.
- 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 1069 are (1, 1069) and (11, 97).
- Prime factorization: Breaking down a number into a product of prime numbers. For example, the prime factorization of 1069 is 11 × 97.
- Negative factors: These are the negative counterparts of the positive factors. For example, the negative factors of 1069 are -1, -11, -97, and -1069.
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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.
