119 LearnersLast updated on May 26th, 2025
Factors of 723
Factors are the numbers that divide any given number evenly without 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 723, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 723?
The numbers that divide 723 evenly are known as factors of 723. A factor of 723 is a number that divides the number without remainder. The factors of 723 are 1, 3, 241, and 723. Negative factors of 723: -1, -3, -241, and -723. Prime factors of 723: 3 and 241. Prime factorization of 723: 3 × 241. The sum of factors of 723: 1 + 3 + 241 + 723 = 968
How to Find Factors of 723?
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 723. Identifying the numbers which are multiplied to get the number 723 is the multiplication method. Step 1: Multiply 723 by 1, 723 × 1 = 723. Step 2: Check for other numbers that give 723 after multiplying 3 × 241 = 723 Therefore, the positive factor pairs of 723 are: (1, 723) and (3, 241). All these factor pairs result in 723. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 the simple division method - Step 1: Divide 723 by 1, 723 ÷ 1 = 723. Step 2: Continue dividing 723 by the numbers until the remainder becomes 0. 723 ÷ 1 = 723 723 ÷ 3 = 241 723 ÷ 241 = 3 Therefore, the factors of 723 are: 1, 3, 241, 723.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 723 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1. 723 ÷ 3 = 241 241 ÷ 241 = 1 The prime factors of 723 are 3 and 241. The prime factorization of 723 is: 3 × 241.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 723 is divided by 3 to get 241. Step 2: Here, 241 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 723 is: 3 × 241. 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 723: (1, 723) and (3, 241). Negative factor pairs of 723: (-1, -723) and (-3, -241).
Common Mistakes and How to Avoid Them in Factors of 723
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 723, 1 and 723 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 723 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly include fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 723/1.5 = 482, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 723 are prime numbers. For example, 3 and 241 are the prime factors of 723, but it has other factors like 1 and 723.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 723 as 3 × 241 and missing all the key factors.
Factors of 723 Examples
Problem 1
There are 9 teams in a tournament and 723 players. How will they distribute the players equally?
Each team will get 80 players with some players left out.
Explanation
To distribute the players equally, divide the total players by the number of teams. 723 ÷ 9 = 80 with a remainder of 3.
Problem 2
A gym has 3 sections, and the total area covered by the gym is 723 square meters. What is the area of each section?
241 square meters.
Explanation
To find the area of each section, we use the formula, Total area = area per section × number of sections 723 = 3 × area per section To find the value of area per section, we need to divide 723 by 3. 723 ÷ 3 = 241.
Problem 3
There are 241 students and 723 books. How many books will each student receive?
Each student will receive 3 books.
Explanation
To find the books each student receives, divide the total books by the number of students. 723 ÷ 241 = 3
Problem 4
A company has 723 employees and 3 departments. How many employees are there in each department?
There are 241 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department. 723 ÷ 3 = 241
Problem 5
723 items need to be packed into 3 boxes. How many items will go in each box?
Each of the boxes will have 241 items.
Explanation
Divide total items by the number of boxes. 723 ÷ 3 = 241
FAQs on Factors of 723
1.What are the factors of 723?
2.Mention the prime factors of 723.
3.Is 723 a multiple of 241?
4.Mention the factor pairs of 723?
5.What is the square of 723?
6.How can children in United States use numbers in everyday life to understand Factors of 723?
7.What are some fun ways kids in United States can practice Factors of 723 with numbers?
8.What role do numbers and Factors of 723 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 723 skills?
Important Glossaries for Factors of 723
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 723 are 1, 3, 241, and 723. Prime factors: The factors which are prime numbers. For example, 3 and 241 are prime factors of 723. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 723 are (1, 723) and (3, 241). Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number. Division method: A way to find factors by dividing the original number by whole numbers to see which ones leave no remainder.
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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.
