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Last updated on May 27th, 2025

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Square of 564

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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 this topic, we will discuss the square of 564.

Square of 564 for Vietnamese Students
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What is the Square of 564

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

 

The square of 564 is 564 × 564.

 

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

 

We write it in math as 564², where 564 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 564 is 564 × 564 = 318,096.

 

Square of 564 in exponential form: 564²

 

Square of 564 in arithmetic form: 564 × 564

square of 564

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How to Calculate the Value of Square of 564

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
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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 564

 

Step 1: Identify the number. Here, the number is 564

 

Step 2: Multiplying the number by itself, we get, 564 × 564 = 318,096.

 

The square of 564 is 318,096.

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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 564 So: 564² = 564 × 564 = 318,096

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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 564.

 

Step 1: Enter the number in the calculator Enter 564 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 564 × 564

 

Step 3: Press the equal to button to find the answer Here, the square of 564 is 318,096.

 

Tips and Tricks for the Square of 564

 

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.
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Common Mistakes to Avoid When Calculating the Square of 564

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

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Calculation errors:

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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.

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Solved Examples on Square of 564

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Problem 1

Find the length of the square, where the area of the square is 318,096 cm².

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The area of a square = a²

So, the area of a square = 318,096 cm²

So, the length = √318,096 = 564.

The length of each side = 564 cm

Explanation

The length of a square is 564 cm. Because the area is 318,096 cm², the length is √318,096 = 564.

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Problem 2

Anna is planning to paint her square wall of length 564 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

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The length of the wall = 564 feet

The cost to paint 1 square foot of wall = 3 dollars.

To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a²

Here a = 564

Therefore, the area of the wall = 564² = 564 × 564 = 318,096.

The cost to paint the wall = 318,096 × 3 = 954,288.

The total cost = 954,288 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.

So, the total cost is 954,288 dollars.

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Problem 3

Find the area of a circle whose radius is 564 meters.

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The area of the circle = 1,000,486.56 m²

Explanation

The area of a circle = πr²

Here, r = 564

Therefore, the area of the circle = π × 564² = 3.14 × 564 × 564 = 1,000,486.56 m².

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Problem 4

The area of the square is 318,096 cm². Find the perimeter of the square.

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The perimeter of the square is 2,256 cm

Explanation

The area of the square = a²

Here, the area is 318,096 cm²

The length of the side is √318,096 = 564

Perimeter of the square = 4a

Here, a = 564

Therefore, the perimeter = 4 × 564 = 2,256.

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Problem 5

Find the square of 565.

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The square of 565 is 319,225

Explanation

The square of 565 is multiplying 565 by 565.

So, the square = 565 × 565 = 319,225

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FAQs on Square of 564

1.What is the square of 564?

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2.What is the square root of 564?

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3.Is 564 a prime number?

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4.What are the first few multiples of 564?

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5.What is the square of 563?

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

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7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 564?

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8.How do technology and digital tools in Vietnam support learning Algebra and Square of 564?

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

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Professor Greenline from BrightChamps

Important Glossaries for Square of 564.

  • Prime number: Any number that is only divisible by 1 and the number itself, for example, 2, 3, 5, 7, etc.

 

  • Exponential form: A way of writing numbers using a base and an exponent, like 564².

 

  • Square: The product of a number multiplied by itself, such as 564 × 564.

 

  • Square root: A value that, when multiplied by itself, gives the original number, like the square root of 564² is ±564.

 

  • Perfect square: A number that is the square of an integer, such as 144, which is 12².
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About BrightChamps in Vietnam

At BrightChamps, algebra is more than just symbols—it’s a path to endless opportunities! Our goal is to assist children all over Vietnam in mastering key math skills, with today’s focus on the Square of 564 and an emphasis on understanding squares—in a lively, enjoyable, and straightforward way. Whether your child is measuring the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra builds their confidence for daily challenges. Our engaging lessons make learning both easy and fun. Since children in Vietnam learn in various ways, we adapt our approach to fit each learner’s style. From the vibrant streets of Ho Chi Minh City to the scenic views of Ha Long Bay, BrightChamps brings math to life, making it relatable and exciting nationwide. Let’s make squares a fun highlight in every child’s math journey!
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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.

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Fun Fact

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

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