BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon116 Learners

Last updated on May 30th, 2025

Math Whiteboard Illustration

Square of 521

Professor Greenline Explaining Math Concepts

The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In the topic, we will discuss the square of 521.

Square of 521 for Indonesian Students
Professor Greenline from BrightChamps

What is the Square of 521

The square of a number is the product of the number itself.

 

The square of 521 is 521 × 521.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 521², where 521 is the base and 2 is the exponent.

 

The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.

 

The square of 521 is 521 × 521 = 271,441.

 

Square of 521 in exponential form: 521²

 

Square of 521 in arithmetic form: 521 × 521

 

square of 521

Professor Greenline from BrightChamps

How to Calculate the Value of Square of 521

The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.

 

  • By Multiplication Method
     
  • Using a Formula (a2)
     
  • Using a Calculator
Professor Greenline from BrightChamps

By the Multiplication Method

In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 521.

 

Step 1: Identify the number. Here, the number is 521.

 

Step 2: Multiplying the number by itself, we get, 521 × 521 = 271,441.

 

The square of 521 is 271,441.

Professor Greenline from BrightChamps

Using a Formula (a²)

In this method, the formula, a² is used to find the square of the number. Where a is the number.

 

Step 1: Understanding the equation Square of a number = a²

a² = a × a

 

Step 2: Identifying the number and substituting the value in the equation.

Here, ‘a’ is 521

So: 521² = 521 × 521 = 271,441

Professor Greenline from BrightChamps

By Using a Calculator

Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 521.

 

Step 1: Enter the number in the calculator. Enter 521 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button(×). That is 521 × 521

 

Step 3: Press the equal to button to find the answer. Here, the square of 521 is 271,441.

 

Tips and Tricks for the Square of 521

 

Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.

 

  • The square of an even number is always an even number. For example, 6² = 36.

 

  • The square of an odd number is always an odd number. For example, 5² = 25.

 

  • The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.

 

  • If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2.

 

  • The square root of a perfect square is always a whole number. For example, √144 = 12.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Square of 521

Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Calculation errors:

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.

 

For example, the square of 25 is 625, and the square root of 625 is ±25.

Max from BrightChamps Saying "Hey"

Solved Examples on Square of 521

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the length of the square, where the area of the square is 271,441 cm².

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The area of a square = a²

 

So, the area of a square = 271,441 cm²

 

So, the length = √271,441 = 521.

 

The length of each side = 521 cm

Explanation

The length of a square is 521 cm.

 

Because the area is 271,441 cm² the length is √271,441 = 521.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Anna is planning to paint her square garden of length 521 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full garden?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The length of the garden = 521 feet

 

The cost to paint 1 square foot of garden = 2 dollars.

 

To find the total cost to paint, we find the area of the garden.

 

Area of the garden = area of the square = a²

 

Here a = 521

 

Therefore, the area of the garden = 521² = 521 × 521 = 271,441.

 

The cost to paint the garden = 271,441 × 2 = 542,882.

 

The total cost = 542,882 dollars

Explanation

To find the cost to paint the garden, we multiply the area of the garden by the cost to paint per foot. So, the total cost is 542,882 dollars.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Find the area of a circle whose radius is 521 meters.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The area of the circle = 853,707.34 m²

Explanation

The area of a circle = πr²

 

Here, r = 521

 

Therefore, the area of the circle = π × 521² = 3.14 × 521 × 521 = 853,707.34 m².

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

The area of the square is 271,441 cm². Find the perimeter of the square.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The perimeter of the square is 2,084 cm.

Explanation

The area of the square = a²

 

Here, the area is 271,441 cm²

 

The length of the side is √271,441 = 521

 

Perimeter of the square = 4a

 

Here, a = 521

 

Therefore, the perimeter = 4 × 521 = 2,084.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Find the square of 522.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The square of 522 is 272,484.

Explanation

The square of 522 is multiplying 522 by 522.

 

So, the square = 522 × 522 = 272,484

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Square of 521

1.What is the square of 521?

Math FAQ Answers Dropdown Arrow

2.What is the square root of 521?

Math FAQ Answers Dropdown Arrow

3.Is 521 a prime number?

Math FAQ Answers Dropdown Arrow

4.What are the first few multiples of 521?

Math FAQ Answers Dropdown Arrow

5.What is the square of 520?

Math FAQ Answers Dropdown Arrow

6.How does learning Algebra help students in Indonesia make better decisions in daily life?

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 521?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Indonesia support learning Algebra and Square of 521?

Math FAQ Answers Dropdown Arrow

9.Does learning Algebra support future career opportunities for students in Indonesia?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Square 521.

  • Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 11, …

 

  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.

 

  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.

 

  • Perfect square: A perfect square is a number that is the square of an integer. For example, 1, 4, 9, 16, 25, …

 

  • Multiplication method: A method to calculate the square of a number by multiplying the number by itself.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, algebra is more than just figures—it’s a gateway to many opportunities! Our mission is to help children across Indonesia grasp important math skills, focusing today on the Square of 521 with special attention to understanding squares—in a fun, engaging, and easy-to-understand way. Whether your child is timing the speed of a roller coaster at Dunia Fantasi, following scores at a local badminton game, or managing their allowance for the latest gadgets, a good grasp of algebra boosts their confidence for everyday challenges. Our interactive lessons make learning simple and enjoyable. Because kids in Indonesia learn in different ways, we customize our teaching to each child’s unique style. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life, making it relatable and exciting all over Indonesia. Let’s make squares a fun part of every child’s math adventure!
Math Teacher Background Image
Math Teacher Image

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom