120 LearnersLast updated on May 26th, 2025
Factors of 521
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.
What are the Factors of 521?
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
How to Find Factors of 521?
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 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.
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 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.
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, 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
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 521, 1 and 521 are 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 521 consist of -1 and -521.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor because 521/2.5 = 208.4, 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 521 are prime numbers. However, 521 itself is a prime number and the only factors are 1 and 521.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 521 as a prime number and attempting incorrect factorizations.
Factors of 521 Examples
Problem 1
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.
Explanation
To finish reading the book, each person reads 1 page.
Therefore, it requires 521 people to read 521 pages.
Problem 2
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.
Explanation
If each row can only have 1 flower, then the total number of rows is equal to the number of flowers, which is 521.
Problem 3
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.
Explanation
Each section can have 1 book, so for 521 books, there will be 521 sections.
Problem 4
A concert hall has 521 seats and each row has 1 seat. How many rows are there?
There are 521 rows.
Explanation
If each row has 1 seat, then the total number of rows is equal to the number of seats, which is 521.
Problem 5
A company distributes 521 items equally among 1 group. How many items does each person receive?
Each person receives 521 items.
Explanation
If the items are distributed equally among 1 group, each person in the group receives all 521 items.
FAQs on Factors of 521
1.What are the factors of 521?
2.Mention the prime factors of 521.
3.Is 521 a multiple of any number other than 1 and itself?
4.Mention the factor pair of 521?
5.What is the square of 521?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 521?
7.What are some fun ways kids in Indonesia can practice Factors of 521 with numbers?
8.What role do numbers and Factors of 521 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 521 skills?
Important Glossaries for Factor of 521
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 521 are 1 and 521.
- Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. For example, 521 is a prime number.
- Prime factorization: Expressing a number as a product of its prime factors. For 521, it is 521 × 1.
- Factor pairs: Two numbers in a pair multiplied together to give the original number. For example, the factor pair of 521 is (1, 521).
- Negative factors: Factors that are negative numbers. For example, the negative factors of 521 are -1 and -521.
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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.
