100 LearnersLast updated on May 26th, 2025
Factors of 722
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 722, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 722?
The numbers that divide 722 evenly are known as factors of 722. A factor of 722 is a number that divides the number without a remainder. The factors of 722 are 1, 2, 361, and 722. Negative factors of 722: -1, -2, -361, and -722. Prime factors of 722: 2 and 361. Prime factorization of 722: 2 × 361. The sum of factors of 722: 1 + 2 + 361 + 722 = 1086
How to Find Factors of 722?
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 722. Identifying the numbers which are multiplied to get the number 722 is the multiplication method. Step 1: Multiply 722 by 1, 722 × 1 = 722. Step 2: Check for other numbers that give 722 after multiplying 2 × 361 = 722 Therefore, the positive factor pairs of 722 are: (1, 722), (2, 361). All these factor pairs result in 722. 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 722 by 1, 722 ÷ 1 = 722. Step 2: Continue dividing 722 by the numbers until the remainder becomes 0. 722 ÷ 1 = 722 722 ÷ 2 = 361 Therefore, the factors of 722 are: 1, 2, 361, 722.
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 722 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 722 ÷ 2 = 361 361 ÷ 19 = 19 19 ÷ 19 = 1 The prime factors of 722 are 2 and 19. The prime factorization of 722 is: 2 × 361.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 722 is divided by 2 to get 361. Step 2: Now divide 361 by 19 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 722 is: 2 × 361. 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 722: (1, 722), (2, 361). Negative factor pairs of 722: (-1, -722), (-2, -361).
Common Mistakes and How to Avoid Them in Factors of 722
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 722, 1 and 722 are also factors.
Factors of 722 Examples
Problem 1
There are 2 teams and 722 people. How will they divide it equally?
They will get 361 people each.
Explanation
To divide the people equally, we need to divide the total people by the number of teams. 722/2 = 361
Problem 2
A room is rectangular, the width of the room is 2 meters and the total area is 722 square meters. Find the length?
361 meters.
Explanation
To find the length of the room, we use the formula, Area = length × width 722 = length × 2 To find the value of length, we need to shift 2 to the left side. 722/2 = length Length = 361.
Problem 3
There are 361 boxes and 2 trucks. How many boxes will be in each truck?
Each truck will have 180.5 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks. 361/2 = 180.5 (Note: This indicates an equal division is not possible without breaking boxes)
Problem 4
In a library, there are 722 books, and 2 sections. How many books are there in each section?
There are 361 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section. 722/2 = 361
Problem 5
722 apples need to be packed in 2 crates. How many apples will go in each crate?
Each of the crates has 361 apples.
Explanation
Divide total apples by crates. 722/2 = 361
FAQs on Factors of 722
1.What are the factors of 722?
2.Mention the prime factors of 722.
3.Is 722 a multiple of 2?
4.Mention the factor pairs of 722?
5.What is the square of 722?
Important Glossaries for Factor of 722
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 722 are 1, 2, 361, and 722. Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 722. 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 722 are (1, 722), (2, 361). Prime factorization: Breaking down a composite number into the product of its prime factors. For example, the prime factorization of 722 is 2 × 361. Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the original number.
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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.
