Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the apples equally, each person gets 1 apple.
1721/1 = 1721
A long parade has 1721 participants lined up. If each row contains only 1 participant, how many rows are there?
There are 1721 rows.
To find the number of rows, we divide the total participants by the number in each row.
1721/1 = 1721
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.
To find how many shelves are needed, divide the total books by the number of books per shelf.
1721/1 = 1721
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.
To form teams, divide the total employees by the number of employees per team.
1721/1 = 1721
A school has 1721 desks, and each classroom is assigned exactly 1 desk. How many classrooms are needed?
1721 classrooms are needed.
To find the number of classrooms needed, divide the total desks by the number of desks per classroom.
1721/1 = 1721
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.
: She loves to read number jokes and games.