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 521, how they are used in real life, and tips to learn them quickly.
The numbers that divide 521 evenly are known as factors of 521.
A factor of 521 is a number that divides the number without remainder.
The factors of 521 are 1, 521.
Negative factors of 521: -1, -521.
Prime factors of 521: 521 (521 is a prime number).
Prime factorization of 521: 521 × 1.
The sum of factors of 521: 1 + 521 = 522
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 521. Identifying the numbers which are multiplied to get the number 521 is the multiplication method.
Step 1: Multiply 521 by 1, 521 × 1 = 521.
Step 2: Check for other numbers that give 521 after multiplying. Since 521 is a prime number, it has no other multiplication pairs.
Therefore, the positive factor pair of 521 is: (1, 521). 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 a simple division method
Step 1: Divide 521 by 1, 521 ÷ 1 = 521.
Step 2: Continue dividing 521 by the numbers until the remainder becomes 0.
521 ÷ 1 = 521
521 ÷ 521 = 1
Since 521 is a prime number, no other whole numbers divide it evenly.
Therefore, the factors of 521 are: 1, 521.
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, 521 is already a prime number, so it cannot be broken down further into other prime factors.
The prime factorization of 521 is 521 × 1.
The factor tree is the graphical representation of breaking down any number into prime factors. Since 521 is a prime number, it cannot be broken down further using a factor tree. Therefore, the prime factorization of 521 is simply 521 × 1.
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 521: (1, 521).
Negative factor pair of 521: (-1, -521).
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 521 pages in a book. If each person reads 1 page, how many people are needed to finish the book?
521 people are needed.
To finish reading the book, each person reads 1 page.
Therefore, it requires 521 people to read 521 pages.
A garden has 521 flowers planted in a single row. How many rows are there if each row can only have 1 flower?
There are 521 rows.
If each row can only have 1 flower, then the total number of rows is equal to the number of flowers, which is 521.
A library has 521 books and wants to organize them into sections with 1 book each. How many sections will there be?
There will be 521 sections.
Each section can have 1 book, so for 521 books, there will be 521 sections.
A concert hall has 521 seats and each row has 1 seat. How many rows are there?
There are 521 rows.
If each row has 1 seat, then the total number of rows is equal to the number of seats, which is 521.
A company distributes 521 items equally among 1 group. How many items does each person receive?
Each person receives 521 items.
If the items are distributed equally among 1 group, each person in the group receives all 521 items.
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.