102 LearnersLast updated on May 26th, 2025
Factors of 979
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 979, how they are used in real life, and tips to learn them quickly.
What are the Factors of 979?
The numbers that divide 979 evenly are known as factors of 979.
A factor of 979 is a number that divides the number without remainder.
The factors of 979 are 1, 11, 89, and 979.
Negative factors of 979: -1, -11, -89, and -979.
Prime factors of 979: 11 and 89.
Prime factorization of 979: 11 × 89.
The sum of factors of 979: 1 + 11 + 89 + 979 = 1080
How to Find Factors of 979?
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 979. Identifying the numbers which are multiplied to get the number 979 is the multiplication method.
Step 1: Multiply 979 by 1, 979 × 1 = 979.
Step 2: Check for other numbers that give 979 after multiplying
11 × 89 = 979
Therefore, the positive factor pairs of 979 are: (1, 979) and (11, 89). All these factor pairs result in 979.
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 979 by 1, 979 ÷ 1 = 979.
Step 2: Continue dividing 979 by the numbers until the remainder becomes 0.
979 ÷ 1 = 979
979 ÷ 11 = 89
Therefore, the factors of 979 are: 1, 11, 89, 979.
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 979 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
979 ÷ 11 = 89
89 ÷ 89 = 1
The prime factors of 979 are 11 and 89.
The prime factorization of 979 is: 11 × 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, 979 is divided by 11 to get 89.
Step 2: Now divide 89 by 89 to get 1. Here, 89 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 979 is: 11 × 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 979: (1, 979) and (11, 89).
Negative factor pairs of 979: (-1, -979) and (-11, -89).
Common Mistakes and How to Avoid Them in Factors of 979
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 979, 1 and 979 are also factors.
Factors of 979 Examples
Problem 1
A company wants to distribute 979 flyers equally among 11 locations. How many flyers will each location receive?
Each location will receive 89 flyers.
Explanation
To distribute the flyers equally, divide the total flyers by the number of locations.
979/11 = 89
Problem 2
A garden is rectangular, with a width of 11 meters and a total area of 979 square meters. Find the length.
89 meters.
Explanation
To find the length of the garden, use the formula,
Area = length × width
979 = length × 11
To find the value of length, shift 11 to the left side.
979/11 = length
Length = 89.
Problem 3
There are 89 boxes and 979 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.
979/89 = 11
Problem 4
In a class, there are 979 students, and 89 groups. How many students are there in each group?
There are 11 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
979/89 = 11
Problem 5
979 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 89 books.
Explanation
Divide the total books with shelves.
979/11 = 89
FAQs on Factors of 979
1.What are the factors of 979?
2.Mention the prime factors of 979.
3.Is 979 a multiple of 11?
4.Mention the factor pairs of 979?
5.What is the square of 979?
6.How can children in United States use numbers in everyday life to understand Factors of 979?
7.What are some fun ways kids in United States can practice Factors of 979 with numbers?
8.What role do numbers and Factors of 979 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 979 skills?
Important Glossaries for Factor of 979
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 979 are 1, 11, 89, and 979.
- Prime factors: The factors which are prime numbers. For example, 11 and 89 are prime factors of 979.
- 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 979 are (1, 979) and (11, 89).
- Prime factorization: Expressing a number as the product of its prime factors. For example, 979 is expressed as 11 × 89.
- Multiple: A number that can be divided by another number without a remainder. For example, 979 is a multiple of 11.
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About BrightChamps in United States
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.
