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Last updated on May 26th, 2025

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Factors of 1679

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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.

Factors of 1679 for US Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 1679 Examples

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Problem 1

A team has 1679 points to distribute among 1 player. How many points does the player receive?

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The player will receive 1679 points.

Explanation

Since there is only one player, the total points are given to that player.

 

1679 ÷ 1 = 1679

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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?

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1679 meters.

Explanation

To find the length of the field, we use the formula,

 

Area = length × width

 

1679 = length × 1

 

Length = 1679.

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Problem 3

If 1679 candies need to be distributed equally among 1 child, how many candies will the child get?

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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

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Problem 4

A library has 1679 books and 1 shelf. How many books will go on the shelf?

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1679 books will go on the shelf.

Explanation

Divide the total books by shelves.

 

1679 ÷ 1 = 1679

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Problem 5

A builder has 1679 bricks to make a single wall. How many bricks will be used for that wall?

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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

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FAQs on Factors of 1679

1.What are the factors of 1679?

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2.Is 1679 a prime number?

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3.What is the prime factorization of 1679?

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4.What is the square of 1679?

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5.How can children in United States use numbers in everyday life to understand Factors of 1679?

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6.What are some fun ways kids in United States can practice Factors of 1679 with numbers?

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7.What role do numbers and Factors of 1679 play in helping children in United States develop problem-solving skills?

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8.How can families in United States create number-rich environments to improve Factors of 1679 skills?

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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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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 1679, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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.

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Fun Fact

: She loves to read number jokes and games.

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