100 LearnersLast updated on May 27th, 2025
Square of 567
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 567.
What is the Square of 567
The square of a number is the product of the number itself.
The square of 567 is 567 × 567.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 567², where 567 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 567 is 567 × 567 = 321489.
Square of 567 in exponential form: 567²
Square of 567 in arithmetic form: 567 × 567
How to Calculate the Value of Square of 567
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
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 567.
Step 1: Identify the number. Here, the number is 567
Step 2: Multiplying the number by itself, we get, 567 × 567 = 321489.
The square of 567 is 321489.
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 567 So: 567² = 567 × 567 = 321489
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 567.
Step 1: Enter the number in the calculator Enter 567 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 567 × 567
Step 3: Press the equal to button to find the answer Here, the square of 567 is 321489.
Tips and Tricks for the Square of 567
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.
Common Mistakes to Avoid When Calculating the Square of 567
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
Calculation errors:
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.
Solved Examples on Square of 567
Problem 1
Find the length of the square, where the area of the square is 321489 cm².
The area of a square = a²
So, the area of a square = 321489 cm²
So, the length = √321489 = 567.
The length of each side = 567 cm
Explanation
The length of a square is 567 cm.
Because the area is 321489 cm² the length is √321489 = 567.
Problem 2
Jenny is planning to tile her square courtyard of length 567 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full courtyard?
The length of the courtyard = 567 feet
The cost to tile 1 square foot of the courtyard = is 5 dollars.
To find the total cost to tile, we find the area of the courtyard, Area of the courtyard = area of the square = a²
Here a = 567
Therefore, the area of the courtyard = 567² = 567 × 567 = 321489.
The cost to tile the courtyard = 321489 × 5 = 1607445.
The total cost = 1607445 dollars
Explanation
To find the cost to tile the courtyard, we multiply the area of the courtyard by cost to tile per foot.
So, the total cost is 1607445 dollars.
Problem 3
Find the area of a circle whose radius is 567 meters.
The area of the circle = 1,008,187.76 m²
Explanation
The area of a circle = πr²
Here, r = 567
Therefore, the area of the circle = π × 567² = 3.14 × 567 × 567 = 1,008,187.76 m².
Problem 4
The area of the square is 321489 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 321489 cm²
The length of the side is √321489 = 567
Perimeter of the square = 4a
Here, a = 567
Therefore, the perimeter = 4 × 567 = 2268.
Problem 5
Find the square of 568.
The square of 568 is 322624
Explanation
The square of 568 is multiplying 568 by 568.
So, the square = 568 × 568 = 322624
FAQs on Square of 567
1.What is the square of 567?
2.What is the square root of 567?
3.Is 567 a prime number?
4.What are the first few multiples of 567?
5.What is the square of 566?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 567?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 567?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 567.
- Prime number: Any number that is only divisible by 1 and the number 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.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- 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.
- Multiplication method: A method of finding the square of a number by multiplying the number by itself.
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About BrightChamps in Vietnam
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
