100 LearnersLast updated on May 26th, 2025
Factors of 1679
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 1679, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1679?
The numbers that divide 1679 evenly are known as factors of 1679.
A factor of 1679 is a number that divides the number without a remainder.
The factors of 1679 are 1 and 1679.
Negative factors of 1679: -1 and -1679.
Prime factor of 1679: 1679 (since it is a prime number).
The sum of factors of 1679: 1 + 1679 = 1680
How to Find Factors of 1679?
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 1679. Since 1679 is a prime number, its positive factor pairs are limited.
Step 1: Multiply 1679 by 1, 1679 × 1 = 1679.
Therefore, the positive factor pair of 1679 is: (1, 1679).
For every positive factor, there is a corresponding negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero helps in listing the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1679 by 1, 1679 ÷ 1 = 1679.
Step 2: Continue dividing 1679 by other numbers to check for zero remainders, but since 1679 is prime, no other numbers will divide it evenly. Therefore, the factors of 1679 are: 1 and 1679.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. Since 1679 is a prime number, it only has itself as a prime factor.
Using Prime Factorization: In this process, since 1679 is already a prime number, it cannot be further broken down. 1679 ÷ 1679 = 1
The prime factor of 1679 is 1679 itself.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 1679 is a prime number, the factor tree is simply: 1679 So, the prime factorization of 1679 is 1679.
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 1679: (1, 1679).
Negative factor pair of 1679: (-1, -1679).
Common Mistakes and How to Avoid Them in Factors of 1679
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
People 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 1679, 1 and 1679 are factors.
Factors of 1679 Examples
Problem 1
A team has 1679 points to distribute among 1 player. How many points does the player receive?
The player will receive 1679 points.
Explanation
Since there is only one player, the total points are given to that player.
1679 ÷ 1 = 1679
Problem 2
A farmer has a field that is 1 meter wide and the total area is 1679 square meters. What is the length of the field?
1679 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
1679 = length × 1
Length = 1679.
Problem 3
If 1679 candies need to be distributed equally among 1 child, how many candies will the child get?
The child will get 1679 candies.
Explanation
To find the candies each child gets, divide the total candies by the number of children.
1679 ÷ 1 = 1679
Problem 4
A library has 1679 books and 1 shelf. How many books will go on the shelf?
1679 books will go on the shelf.
Explanation
Divide the total books by shelves.
1679 ÷ 1 = 1679
Problem 5
A builder has 1679 bricks to make a single wall. How many bricks will be used for that wall?
All 1679 bricks will be used for the wall.
Explanation
If there's only one wall to build, all bricks are used in the construction of that wall.
1679 ÷ 1 = 1679
FAQs on Factors of 1679
1.What are the factors of 1679?
2.Is 1679 a prime number?
3.What is the prime factorization of 1679?
4.What is the square of 1679?
Important Glossaries for Factors of 1679
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1679 are 1 and 1679.
- Prime Number: A number greater than 1 with no divisors other than 1 and itself. For example, 1679 is a prime number.
- 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 1679 is (1, 1679).
- Prime Factorization: The expression of a number as the product of its prime factors. For example, 1679 is its own prime factorization.
- Negative Factors: Negative numbers that divide the given number without leaving a remainder. For example, the negative factors of 1679 are -1 and -1679.
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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
: She loves to read number jokes and games.
