101 LearnersLast updated on May 27th, 2025
Factors of 679
Factors are the numbers that divide any given number evenly without a 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 679, how they are used in real life, and tips to learn them quickly.
What are the Factors of 679?
The numbers that divide 679 evenly are known as factors of 679.
A factor of 679 is a number that divides the number without a remainder.
The factors of 679 are 1 and 679, as it is a prime number.
Negative factors of 679: -1 and -679.
Prime factors of 679: 679.
Prime factorization of 679: 679.
The sum of factors of 679: 1 + 679 = 680
How to Find Factors of 679?
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 679.
Since 679 is a prime number, the only multiplication that gives 679 is multiplying 1 by 679.
Therefore, the positive factor pair of 679 is: (1, 679).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 679 by 1, 679 ÷ 1 = 679.
Since 679 is a prime number, it cannot be evenly divided by any other numbers except itself.
Therefore, the factors of 679 are: 1 and 679.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers.
Since 679 is a prime number itself, its only prime factor is 679.
Using Prime Factorization: In this process, since 679 is a prime number, it cannot be broken down further; thus, its prime factorization is 679.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 679 is a prime number, it does not break down further.
The prime factorization of 679 is simply 679.
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 679: (1, 679).
Negative factor pairs of 679: (-1, -679).
Common Mistakes and How to Avoid Them in Factors of 679
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 679, 1 and 679 are factors.
Factors of 679 Examples
Problem 1
There are 679 marbles and you need to pack them into bags containing the same number of marbles. How many bags can you use if each bag contains 679 marbles?
You can use 1 bag.
Explanation
To pack the marbles equally, we divide the total marbles by the number of marbles per bag.
679/679 = 1
Problem 2
A rectangular plot has a length of 1 meter and a total area of 679 square meters. Find the width.
679 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
679 = 1 × width
To find the value of width, divide the area by the length.
679/1 = width
Width = 679.
Problem 3
There are 1 container and 679 liters of water. How many liters will be in the container?
The container will have 679 liters.
Explanation
To find the liters in the container, divide the total liters by the number of containers.
679/1 = 679
Problem 4
In a competition, there are 679 participants, and everyone is in one group. How many participants are there in each group?
There are 679 participants in the group.
Explanation
Dividing the participants by the number of groups, we get the number of participants in each group.
679/1 = 679
Problem 5
679 items need to be placed on 1 shelf. How many items will go on the shelf?
The shelf will have 679 items.
Explanation
Divide the total items by the number of shelves.
679/1 = 679
FAQs on Factors of 679
1.What are the factors of 679?
2.Mention the prime factors of 679.
3.Is 679 a multiple of 2?
4.Mention the factor pairs of 679.
5.What is the square of 679?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 679?
7.What are some fun ways kids in United Kingdom can practice Factors of 679 with numbers?
8.What role do numbers and Factors of 679 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 679 skills?
Important Glossaries for Factors of 679
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 679 are 1 and 679.
- Prime factors: The factors which are prime numbers. Since 679 is a prime number, its only prime factor is 679.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 679 is (1, 679).
- Prime number: A number that has no divisors other than 1 and itself. 679 is an example of a prime number.
- Multiplication: The process of combining several numbers into a single product. Used to find factor pairs, e.g., 1 × 679.
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About BrightChamps in United Kingdom
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.
