101 LearnersLast updated on May 26th, 2025
Factors of 1067
Factors are the numbers that divide any given number evenly without a 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 1067, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1067?
The numbers that divide 1067 evenly are known as factors of 1067.
A factor of 1067 is a number that divides the number without a remainder.
The factors of 1067 are 1, 11, 97, and 1067.
Negative factors of 1067: -1, -11, -97, and -1067.
Prime factors of 1067: 11 and 97.
Prime factorization of 1067: 11 × 97.
The sum of factors of 1067: 1 + 11 + 97 + 1067 = 1176
How to Find Factors of 1067?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1067. Identifying the numbers that are multiplied to get the number 1067 is the multiplication method.
Step 1: Multiply 1067 by 1, 1067 × 1 = 1067.
Step 2: Check for other numbers that give 1067 after multiplying
11 × 97 = 1067
Therefore, the positive factor pairs of 1067 are: (1, 1067) and (11, 97).
All these factor pairs result in 1067.
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 1067 by 1, 1067 ÷ 1 = 1067.
Step 2: Continue dividing 1067 by the numbers until the remainder becomes 0.
1067 ÷ 1 = 1067
1067 ÷ 11 = 97
1067 ÷ 97 = 11
1067 ÷ 1067 = 1
Therefore, the factors of 1067 are: 1, 11, 97, 1067.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1067 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1067 ÷ 11 = 97
97 ÷ 97 = 1
The prime factors of 1067 are 11 and 97. The prime factorization of 1067 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, 1067 is divided by 11 to get 97.
Step 2: Now divide 97 by 97 to get 1.
Here, 97 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1067 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 1067: (1, 1067) and (11, 97).
Negative factor pairs of 1067: (-1, -1067) and (-11, -97).
Common Mistakes and How to Avoid Them in Factors of 1067
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 1067, 1 and 1067 are also factors.
Factors of 1067 Examples
Problem 1
A gardener has 1067 seeds and wants to plant them in rows of 11 seeds each. How many full rows can the gardener plant?
The gardener can plant 97 full rows.
Explanation
To find the number of full rows, divide the total seeds by the number of seeds per row.
1067/11 = 97
Problem 2
A rectangular field has a length of 11 meters, and the total area is 1067 square meters. Find the width.
97 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1067 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1067/11 = width
Width = 97.
Problem 3
There are 97 boxes and 1067 candies. How many candies will be in each box?
Each box will have 11 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
1067/97 = 11
Problem 4
In a class, there are 1067 students, and 11 groups. How many students are there in each group?
There are 97 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1067/11 = 97
Problem 5
1067 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.
1067/11 = 97
FAQs on Factors of 1067
1.What are the factors of 1067?
2.Mention the prime factors of 1067.
3.Is 1067 a multiple of 11?
4.Mention the factor pairs of 1067?
5.What is the square of 1067?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1067?
7.What are some fun ways kids in Thailand can practice Factors of 1067 with numbers?
8.What role do numbers and Factors of 1067 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1067 skills?
Important Glossaries for Factor of 1067
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1067 are 1, 11, 97, and 1067.
- Prime factors: The factors which are prime numbers. For example, 11 and 97 are prime factors of 1067.
- 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 1067 are (1, 1067) and (11, 97).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1067 is 11 × 97.
- Negative factors: These are the negative counterparts of the positive factors of a number. For example, negative factors of 1067 are -1, -11, -97, and -1067.
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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.
