102 LearnersLast updated on May 26th, 2025
Factors of 1079
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 1079, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1079?
The numbers that divide 1079 evenly are known as factors of 1079.
A factor of 1079 is a number that divides the number without a remainder.
The factors of 1079 are 1, 7, 154, and 1079.
Negative factors of 1079: -1, -7, -154, and -1079.
Prime factors of 1079: 7 and 154.
Prime factorization of 1079: 7 × 154.
The sum of factors of 1079: 1 + 7 + 154 + 1079 = 1241
How to Find Factors of 1079?
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 1079. Identifying the numbers which are multiplied to get the number 1079 is the multiplication method.
Step 1: Multiply 1079 by 1, 1079 × 1 = 1079.
Step 2: Check for other numbers that give 1079 after multiplying:
7 × 154 = 1079
Therefore, the positive factor pairs of 1079 are: (1, 1079) and (7, 154).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1079 by 1, 1079 ÷ 1 = 1079.
Step 2: Continue dividing 1079 by the numbers until the remainder becomes 0.
1079 ÷ 1 = 1079
1079 ÷ 7 = 154
Therefore, the factors of 1079 are: 1, 7, 154, 1079.
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 1079 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1079 ÷ 7 = 154
154 ÷ 2 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 1079 are 7 and 11.
The prime factorization of 1079 is: 7 × 11 × 2.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1079 is divided by 7 to get 154.
Step 2: Now divide 154 by 2 to get 77.
Step 3: Then divide 77 by 7 to get 11.
Here, 11 is a prime number, which cannot be divided anymore.
So, the prime factorization of 1079 is: 7 × 11 × 2.
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 1079: (1, 1079), (7, 154).
Negative factor pairs of 1079: (-1, -1079), (-7, -154).
Common Mistakes and How to Avoid Them in Factors of 1079
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 1079, 1 and 1079 are also factors.
Factors of 1079 Examples
Problem 1
There are 7 friends and 1079 candies. How will they divide it equally?
They will get 154 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1079/7 = 154
Problem 2
A garden is rectangular, the length of the garden is 7 meters, and the total area is 1079 square meters. Find the width.
154 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1079 = 7 × width
To find the value of width, we need to shift 7 to the left side.
1079/7 = width
Width = 154.
Problem 3
There are 154 boxes and 1079 apples. How many apples will be in each box?
Each box will have 7 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
1079/154 = 7
Problem 4
In a class, there are 1079 students and 7 teams. How many students are there in each team?
There are 154 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
1079/7 = 154
Problem 5
1079 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 154 books.
Explanation
Divide total books by the shelves.
1079/7 = 154
FAQs on Factors of 1079
1.What are the factors of 1079?
2.Mention the prime factors of 1079.
3.Is 1079 a multiple of 7?
4.Mention the factor pairs of 1079?
5.What is the square of 1079?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1079?
7.What are some fun ways kids in Singapore can practice Factors of 1079 with numbers?
8.What role do numbers and Factors of 1079 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1079 skills?
Important Glossaries for Factor of 1079
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1079 are 1, 7, 154, and 1079.
- Prime factors: The factors which are prime numbers. For example, 7 and 11 are prime factors of 1079.
- 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 1079 are (1, 1079) and (7, 154).
- Multiplication method: A method to find factors by determining the pairs of numbers that multiply to form the original number.
- Division method: A method to find factors by dividing the number by integers and identifying divisors that result in whole numbers.
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About BrightChamps in Singapore
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.
