101 LearnersLast updated on May 26th, 2025
Factors of 1076
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 1076, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1076?
The numbers that divide 1076 evenly are known as factors of 1076.
A factor of 1076 is a number that divides the number without remainder.
The factors of 1076 are 1, 2, 4, 269, 538, and 1076.
Negative factors of 1076: -1, -2, -4, -269, -538, -1076.
Prime factors of 1076: 2 and 269.
Prime factorization of 1076: 2² × 269.
The sum of factors of 1076: 1 + 2 + 4 + 269 + 538 + 1076 = 1890
How to Find Factors of 1076?
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 1076. Identifying the numbers which are multiplied to get the number 1076 is the multiplication method.
Step 1: Multiply 1076 by 1, 1076 × 1 = 1076.
Step 2: Check for other numbers that give 1076 after multiplying
2 × 538 = 1076
4 × 269 = 1076
Therefore, the positive factor pairs of 1076 are: (1, 1076), (2, 538), (4, 269).
All these factor pairs result in 1076.
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 1076 by 1, 1076 ÷ 1 = 1076.
Step 2: Continue dividing 1076 by the numbers until the remainder becomes 0.
1076 ÷ 1 = 1076
1076 ÷ 2 = 538
1076 ÷ 4 = 269
Therefore, the factors of 1076 are: 1, 2, 4, 269, 538, 1076.
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 1076 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1076 ÷ 2 = 538
538 ÷ 2 = 269
269 ÷ 269 = 1
The prime factors of 1076 are 2 and 269.
The prime factorization of 1076 is: 2² × 269.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1076 is divided by 2 to get 538.
Step 2: Now divide 538 by 2 to get 269.
Step 3: Here, 269 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1076 is: 2² × 269.
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 1076: (1, 1076), (2, 538), and (4, 269).
Negative factor pairs of 1076: (-1, -1076), (-2, -538), and (-4, -269).
Common Mistakes and How to Avoid Them in Factors of 1076
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 1076, 1 and 1076 are also factors.
Factors of 1076 Examples
Problem 1
There are 2 teams and 1076 players. How will they divide them equally?
They will have 538 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
1076/2 = 538
Problem 2
A rectangular plot of land has a length of 4 meters and a total area of 1076 square meters. Find the width.
269 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1076 = 4 × width
To find the value of width, we need to shift 4 to the left side.
1076/4 = width
Width = 269.
Problem 3
There are 538 chairs and 1076 tables. How many chairs will be paired with each table?
Each table will have 2 chairs.
Explanation
To find the chairs paired with each table, divide the total chairs with the tables.
1076/538 = 2
Problem 4
A school has 4 sections, and 1076 students. How many students are there in each section?
There are 269 students in each section.
Explanation
Dividing the students with the total sections, we will get the number of students in each section.
1076/4 = 269
Problem 5
1076 apples need to be placed in 4 baskets. How many apples will go in each basket?
Each of the baskets has 269 apples.
Explanation
Divide total apples with baskets.
1076/4 = 269
FAQs on Factors of 1076
1.What are the factors of 1076?
2.Mention the prime factors of 1076.
3.Is 1076 a multiple of 4?
4.Mention the factor pairs of 1076?
5.What is the square of 1076?
6.How can children in United States use numbers in everyday life to understand Factors of 1076?
7.What are some fun ways kids in United States can practice Factors of 1076 with numbers?
8.What role do numbers and Factors of 1076 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 1076 skills?
Important Glossaries for Factor of 1076
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1076 are 1, 2, 4, 269, 538, and 1076.
- Prime factors: The factors which are prime numbers. For example, 2 and 269 are prime factors of 1076.
- 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 1076 are (1, 1076), (2, 538), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 1076, it is 2² × 269.
- Divisor: A number by which another number is to be divided. In the context of factors, divisors of 1076 include 1, 2, 4, 269, 538, and 1076.
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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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