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Last updated on June 3rd, 2025

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Square of 23

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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 23.

Square of 23 for Singaporean Students
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What is the Square of 23

The square of a number is the product of the number with itself. The square of 23 is 23 × 23. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 23², where 23 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.

For example, 5² = 25; (-5)² = 25.

The square of 23 is 23 × 23 = 529.

Square of 23 in exponential form: 23²

Square of 23 in arithmetic form: 23 × 23

Square of 23

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How to Calculate the Value of Square of 23

The square of a number is obtained by multiplying the number by itself. Here are common methods used to find the square of a number.

 

  • By Multiplication Method
  • Using a Formula
  • Using a Calculator
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By the Multiplication Method

In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 23.

 

Step 1: Identify the number. Here, the number is 23.

 

Step 2: Multiply the number by itself. 23 × 23 = 529.

 

The square of 23 is 529.

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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: Identify the number and substitute the value in the equation.

Here, ‘a’ is 23.

So: 23² = 23 × 23 = 529

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By Using a Calculator

Using a calculator to find the square of a number is the easiest method. Here’s how to use a calculator to find the square of 23.

 

Step 1: Enter the number in the calculator. Enter 23 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 23 × 23

 

Step 3: Press the equal button to find the answer. Here, the square of 23 is 529.

 

Tips and Tricks for the Square of 23

 

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 23

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

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip steps or swap digits. To avoid this, students should double-check their answers. 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 23

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Problem 1

Find the length of a square where the area of the square is 529 cm².

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The area of a square = a²

So, the area of the square = 529 cm²

So, the length = √529 = 23.

The length of each side = 23 cm

Explanation

The length of a square is 23 cm because the area is 529 cm², and the length is √529 = 23.

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Problem 2

Sarah is planning to tile her square kitchen floor of length 23 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full floor?

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The length of the floor = 23 feet

The cost to tile 1 square foot of the floor = 5 dollars.

To find the total cost to tile, we find the area of the floor,

Area of the floor = area of the square = a²

Here a = 23

Therefore, the area of the floor = 23² = 23 × 23 = 529.

The cost to tile the floor = 529 × 5 = 2645.

The total cost = 2645 dollars

Explanation

To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2645 dollars.

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Problem 3

Find the area of a circle whose radius is 23 meters.

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The area of the circle = 1,661.06 m²

Explanation

The area of a circle = πr²

Here, r = 23

Therefore, the area of the circle = π × 23²

= 3.14 × 23 × 23

= 1661.06 m².

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Problem 4

The area of the square is 529 cm². Find the perimeter of the square.

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The perimeter of the square is 92 cm.

Explanation

The area of the square = a²

Here, the area is 529 cm²

The length of the side is √529 = 23

Perimeter of the square = 4a

Here, a = 23

Therefore, the perimeter = 4 × 23 = 92.

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Problem 5

Find the square of 24.

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The square of 24 is 576.

Explanation

The square of 24 is obtained by multiplying 24 by 24.

So, the square = 24 × 24 = 576.

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FAQs on Square of 23

1.What is the square of 23?

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2.What is the square root of 23?

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3.Is 23 a prime number?

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4.What are the first few multiples of 23?

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5.What is the square of 22?

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

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7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 23?

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8.How do technology and digital tools in Singapore support learning Algebra and Square of 23?

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

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Important Glossaries for Square of 23.

  • Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23.

     
  • Exponential form: A way of expressing a number as a base raised to a power. For example, 9², where 9 is the base and 2 is the power.

     
  • Square: The product of a number multiplied by itself. For example, 3² = 9.

     
  • Square root: The inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √49 = 7.

     
  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25.
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About BrightChamps in Singapore

At BrightChamps, algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to help kids all over Singapore strengthen their math skills, with today’s lesson centered on the Square of 23 and a special focus on understanding squares—in a fun, engaging, and easy-to-follow way. Whether your child is timing a roller coaster at Universal Studios Singapore, keeping score at a local football match, or managing their allowance for the latest gadgets, algebra helps boost their confidence in daily life. Our lessons are designed to make learning simple and enjoyable. Since kids in Singapore learn in many different ways, we personalize our approach for each child. From the bustling city to the scenic gardens, BrightChamps brings math to life, making it relatable and exciting throughout Singapore. Let’s make squares an enjoyable part of 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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