100 LearnersLast updated on May 27th, 2025
Factors of 683
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 683, how they are used in real life, and tips to learn them quickly.
What are the Factors of 683?
The numbers that divide 683 evenly are known as factors of 683.
A factor of 683 is a number that divides the number without remainder.
The factors of 683 are 1 and 683.
Negative factors of 683: -1 and -683.
Prime factors of 683: 683.
Prime factorization of 683: Itself, as 683 is a prime number.
The sum of factors of 683: 1 + 683 = 684
How to Find Factors of 683?
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 683. Identifying the numbers which are multiplied to get the number 683 is the multiplication method.
Step 1: Multiply 683 by 1, 683 × 1 = 683.
Since 683 is a prime number, no other multiplication pairs exist.
Therefore, the positive factor pair of 683 is: (1, 683).
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 683 by 1, 683 ÷ 1 = 683.
Step 2: Continue dividing 683 by other numbers until the remainder becomes 0.
Since 683 is a prime number, no other whole number divisions exist.
Therefore, the factors of 683 are: 1 and 683.
Prime Factors and Prime Factorization
The factors can be found by dividing by prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 683 is a prime number, it cannot be broken down further.
The prime factorization of 683 is simply 683 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 683 is a prime number, it does not break down into smaller prime factors. So, the prime factorization of 683 is just 683.
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 683: (1, 683).
Negative factor pair of 683: (-1, -683).
Common Mistakes and How to Avoid Them in Factors of 683
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 683, 1 and 683 are also factors.
Factors of 683 Examples
Problem 1
A library has 1 shelf holding 683 books. How many books are on the shelf?
There are 683 books on the shelf.
Explanation
The number of books on the shelf equals the total number of books.
683/1 = 683
Problem 2
A rectangular park has a length of 1 kilometer and an area of 683 square kilometers. What is the width?
683 kilometers.
Explanation
To find the width of the park, we use the formula, Area = length × width
683 = 1 × width
Width = 683.
Problem 3
There are 683 apples and 1 basket. How many apples are in the basket?
There are 683 apples in the basket.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
683/1 = 683
Problem 4
A charity has 683 tickets and 1 raffle. How many tickets are in the raffle?
There are 683 tickets in the raffle.
Explanation
Dividing the tickets by the number of raffles, we will get the number of tickets in each raffle.
683/1 = 683
Problem 5
A store has 683 items packed in 1 container. How many items are in each container?
Each container has 683 items.
Explanation
Divide total items by containers.
683/1 = 683
FAQs on Factors of 683
1.What are the factors of 683?
2.Mention the prime factors of 683.
3.Is 683 a multiple of 1?
4.Mention the factor pairs of 683?
5.What is the square of 683?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 683?
7.What are some fun ways kids in United Kingdom can practice Factors of 683 with numbers?
8.What role do numbers and Factors of 683 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 683 skills?
Important Glossaries for Factors of 683
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 683 are 1 and 683.
- Prime factors: The factors which are prime numbers. For example, 683 is a prime factor of itself.
- 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 683 is (1, 683).
- Prime number: A number that has only two factors, 1 and itself. For example, 683 is a prime number.
- Multiplication: A mathematical operation to find the product of two numbers. For example, 1 × 683 = 683.
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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.
