101 LearnersLast updated on May 26th, 2025
Factors of 1068
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 1068, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1068?
The numbers that divide 1068 evenly are known as factors of 1068.
A factor of 1068 is a number that divides the number without remainder.
The factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, and 1068.
Negative factors of 1068: -1, -2, -3, -4, -6, -12, -89, -178, -267, -356, -534, and -1068.
Prime factors of 1068: 2, 3, and 89.
Prime factorization of 1068: 2² × 3 × 89.
The sum of factors of 1068: 1 + 2 + 3 + 4 + 6 + 12 + 89 + 178 + 267 + 356 + 534 + 1068 = 2520
How to Find Factors of 1068?
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 1068. Identifying the numbers that are multiplied to get the number 1068 is the multiplication method.
Step 1: Multiply 1068 by 1, 1068 × 1 = 1068.
Step 2: Check for other numbers that give 1068 after multiplying
2 × 534 = 1068
3 × 356 = 1068
4 × 267 = 1068
6 × 178 = 1068
12 × 89 = 1068
Therefore, the positive factor pairs of 1068 are: (1, 1068), (2, 534), (3, 356), (4, 267), (6, 178), and (12, 89).
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 1068 by 1, 1068 ÷ 1 = 1068.
Step 2: Continue dividing 1068 by the numbers until the remainder becomes 0.
1068 ÷ 1 = 1068
1068 ÷ 2 = 534
1068 ÷ 3 = 356
1068 ÷ 4 = 267
1068 ÷ 6 = 178
1068 ÷ 12 = 89
Therefore, the factors of 1068 are: 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068.
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 1068 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1068 ÷ 2 = 534
534 ÷ 2 = 267
267 ÷ 3 = 89
89 is a prime number and cannot be divided further.
The prime factors of 1068 are 2, 3, and 89. The prime factorization of 1068 is: 2² × 3 × 89.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1068 is divided by 2 to get 534.
Step 2: Now divide 534 by 2 to get 267.
Step 3: Divide 267 by 3 to get 89.
Here, 89 is a prime number and cannot be divided further.
So, the prime factorization of 1068 is: 2² × 3 × 89.
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 1068: (1, 1068), (2, 534), (3, 356), (4, 267), (6, 178), (12, 89).
Negative factor pairs of 1068: (-1, -1068), (-2, -534), (-3, -356), (-4, -267), (-6, -178), (-12, -89).
Common Mistakes and How to Avoid Them in Factors of 1068
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 1068, 1 and 1068 are also factors.
Factors of 1068 Examples
Problem 1
There are 12 students and 1068 apples. How will they divide it equally?
They will get 89 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of students.
1068/12 = 89
Problem 2
A rectangular garden has a length of 267 meters and a total area of 1068 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1068 = 267 × width
To find the value of width, we need to shift 267 to the left side.
1068/267 = width
Width = 4.
Problem 3
There are 6 boxes and 1068 chocolates. How many chocolates will be in each box?
Each box will have 178 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the number of boxes.
1068/6 = 178
Problem 4
In a hall, there are 1068 chairs, and 89 rows. How many chairs are there in each row?
There are 12 chairs in each row.
Explanation
Dividing the chairs with the total rows, we will get the number of chairs in each row.
1068/89 = 12
Problem 5
1068 pieces need to be arranged in 3 shelves. How many pieces will go on each shelf?
Each of the shelves has 356 pieces.
Explanation
Divide total pieces with shelves.
1068/3 = 356
FAQs on Factors of 1068
1.What are the factors of 1068?
2.Mention the prime factors of 1068.
3.Is 1068 a multiple of 4?
4.Mention the factor pairs of 1068?
5.What is the square of 1068?
6.How can children in United States use numbers in everyday life to understand Factors of 1068?
7.What are some fun ways kids in United States can practice Factors of 1068 with numbers?
8.What role do numbers and Factors of 1068 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1068 skills?
Important Glossaries for Factor of 1068
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, and 1068.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 89 are prime factors of 1068.
- 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 1068 are (1, 1068), (2, 534), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1068 = 2² × 3 × 89.
- Negative factors: Factors that are negative numbers, which are the negative counterparts of positive factors. For example, -1, -2, -3, etc., are negative factors of 1068.
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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.
