122 LearnersLast updated on May 26th, 2025
Factors of 1721
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 1721, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1721?
The numbers that divide 1721 evenly are known as factors of 1721.
A factor of 1721 is a number that divides the number without remainder.
The factors of 1721 are 1 and 1721.
Negative factors of 1721: -1 and -1721.
Prime factors of 1721: 1721.
Prime factorization of 1721: 1721 (since it is a prime number, it cannot be factored further).
The sum of factors of 1721: 1 + 1721 = 1722
How to Find Factors of 1721?
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 1721. Since 1721 is a prime number, the only multiplication pair is:
Step 1: Multiply 1721 by 1, 1721 × 1 = 1721.
Therefore, the positive factor pair of 1721 is: (1, 1721).
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 1721 by 1, 1721 ÷ 1 = 1721.
Step 2: Check divisibility by other numbers. Since 1721 is a prime number, no other numbers will divide it evenly.
Therefore, the factors of 1721 are: 1 and 1721.
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 Prime Factorization: In this process, prime factors of 1721 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 1721 is a prime number, it cannot be factored further.
The prime factorization of 1721 is: 1721.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1721 is a prime number, the factor tree is simple: 1721 is only divisible by 1 and itself. So, the prime factorization of 1721 is: 1721.
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 1721: (1, 1721).
Negative factor pairs of 1721: (-1, -1721).
Common Mistakes and How to Avoid Them in Factors of 1721
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 1721, 1 and 1721 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 1721 consist of -1 and -1721.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor of 1721 is incorrect because 1721/1.5 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 1721 are prime numbers. Since 1721 is a prime number, it only has itself and 1 as factors.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, mistakenly trying to break down 1721 further when it is already a prime number.
Factors of 1721 Examples
Problem 1
There are 1721 apples to be shared among a group of people. If each person gets only 1 apple, how many people are there?
There are 1721 people.
Explanation
To divide the apples equally, each person gets 1 apple.
1721/1 = 1721
Problem 2
A long parade has 1721 participants lined up. If each row contains only 1 participant, how many rows are there?
There are 1721 rows.
Explanation
To find the number of rows, we divide the total participants by the number in each row.
1721/1 = 1721
Problem 3
A library has 1721 books to be placed on individual shelves. How many shelves are needed if each shelf holds exactly 1 book?
1721 shelves are needed.
Explanation
To find how many shelves are needed, divide the total books by the number of books per shelf.
1721/1 = 1721
Problem 4
A company has 1721 employees and wants to form teams with exactly one employee per team. How many teams can be formed?
1721 teams can be formed.
Explanation
To form teams, divide the total employees by the number of employees per team.
1721/1 = 1721
Problem 5
A school has 1721 desks, and each classroom is assigned exactly 1 desk. How many classrooms are needed?
1721 classrooms are needed.
Explanation
To find the number of classrooms needed, divide the total desks by the number of desks per classroom.
1721/1 = 1721
FAQs on Factors of 1721
1.What are the factors of 1721?
2.Mention the prime factors of 1721.
3.Is 1721 a prime number?
4.Mention the factor pairs of 1721?
5.What is the square of 1721?
6.How can children in Oman use numbers in everyday life to understand Factors of 1721?
7.What are some fun ways kids in Oman can practice Factors of 1721 with numbers?
8.What role do numbers and Factors of 1721 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1721 skills?
Important Glossaries for Factor of 1721
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1721 are 1 and 1721.
- Prime numbers: Numbers greater than 1 that have no positive divisors other than 1 and themselves. For example, 1721 is a prime number.
- Prime factors: The factors which are prime numbers. For example, 1721 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 1721 is (1, 1721).
- Division method: A method of finding factors by dividing the number by whole numbers to see which divisions leave no remainder.
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About BrightChamps in Oman
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.
