101 LearnersLast updated on May 26th, 2025
Factors of 79
Factors are the numbers that divide any given number evenly without remainder. We use factors in daily life for tasks like sharing items equally and arranging things. In this topic, we will learn about the factors of 79, how they are used in real life, and tips to learn them quickly.
What are the Factors of 79?
The numbers that divide 79 evenly are known as factors of 79. A factor of 79 is a number that divides the number without remainder. The factors of 79 are 1 and 79. Negative factors of 79: -1 and -79. Prime factors of 79: 79 itself, since it is a prime number. The sum of factors of 79: 1 + 79 = 80
How to Find Factors of 79?
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 79. Since 79 is a prime number, it can only be achieved by multiplying 1 and 79. Step 1: Multiply 79 by 1, 79 × 1 = 79. Therefore, the positive factor pair of 79 is: (1, 79). 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 that result in whole numbers as factors. Factors can be calculated by following the simple division method: Step 1: Divide 79 by 1, 79 ÷ 1 = 79. Step 2: Continue dividing 79 by numbers until the remainder becomes 0, which only occurs when dividing by 1 and 79 itself. Therefore, the factors of 79 are: 1 and 79.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. Since 79 is a prime number, its only prime factor is itself. Prime Factorization: The prime factorization of 79 is simply 79, as it cannot be broken down further into other prime numbers.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 79 is a prime number, it does not break down further. 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 pair of 79: (1, 79). Negative factor pair of 79: (-1, -79).
Common Mistakes and How to Avoid Them in Factors of 79
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 factors for every number. Always remember to include 1 and the number itself. For example, in factors of 79, 1 and 79 are also factors.
Factors of 79 Examples
Problem 1
A team of 79 people needs to be grouped into sub-teams. How can they be grouped so that each sub-team has the same number of people without any remainder?
Each sub-team can only have 1 person or 79 people.
Explanation
Since 79 is a prime number, it can only be divided by 1 and itself without leaving a remainder.
Problem 2
A rectangular plot has an area of 79 square meters and one side measures 1 meter. What is the length of the other side?
79 meters.
Explanation
To find the length of the other side, use the formula: Area = length × width 79 = 1 × length Length = 79.
Problem 3
There are 79 chairs in a hall. How can they be organized into rows of equal numbers without any remaining chairs?
They can be organized into 1 row of 79 chairs or 79 rows of 1 chair each.
Explanation
Since 79 is a prime number, it can only be divided by 1 and itself.
Problem 4
A library has 79 books and wants to place them on a single bookshelf so that each shelf has the same number of books. How many books can each shelf have?
Each shelf can have 1 book, or all 79 books can go on a single shelf.
Explanation
Since 79 is prime, it can only be divided into 1 book per shelf or all books on one shelf.
Problem 5
A teacher has 79 worksheets and wants to distribute them equally among the students. If each student receives the same number of worksheets, how can this be accomplished?
Each student can receive 1 worksheet or one student can receive all 79 worksheets.
Explanation
The number 79 can only be divided evenly by 1 or itself, due to being a prime number.
FAQs on Factors of 79
1.What are the factors of 79?
2.Is 79 a prime number?
3.Can 79 be divided by any other numbers without leaving a remainder?
4.What is the prime factorization of 79?
5.What are the factor pairs of 79?
6.How can children in United States use numbers in everyday life to understand Factors of 79?
7.What are some fun ways kids in United States can practice Factors of 79 with numbers?
8.What role do numbers and Factors of 79 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 79 skills?
Important Glossaries for Factors of 79
Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of 79 are 1 and 79. Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 79 is a prime number. Factor pairs: Two numbers that, when multiplied, result in the original number. For example, the factor pair of 79 is (1, 79). Negative factors: Negative numbers that divide the original number without leaving a remainder. For example, -1 and -79 are negative factors of 79. Prime factorization: Expressing a number as a product of its prime factors. For 79, it is 79 itself.
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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.
