113 LearnersLast updated on May 26th, 2025
Square of 423
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 423.
What is the Square of 423
The square of a number is the product of the number itself. The square of 423 is 423 × 423. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 423², where 423 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 423 is 423 × 423 = 178,929.
Square of 423 in exponential form: 423²
Square of 423 in arithmetic form: 423 × 423
How to Calculate the Value of Square of 423
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
- 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 423.
Step 1: Identify the number. Here, the number is 423.
Step 2: Multiplying the number by itself, we get, 423 × 423 = 178,929.
The square of 423 is 178,929.
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 423
So: 423² = 423 × 423 = 178,929
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 423.
Step 1: Enter the number in the calculator Enter 423 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 423 × 423
Step 3: Press the equal to button to find the answer Here, the square of 423 is 178,929.
Tips and Tricks for the Square of 423: 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 423
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 423
Problem 1
Find the length of the square, where the area of the square is 178,929 cm².
The area of a square = a²
So, the area of a square = 178,929 cm²
So, the length = √178,929 = 423.
The length of each side = 423 cm
Explanation
The length of a square is 423 cm. Because the area is 178,929 cm², the length is √178,929 = 423.
Problem 2
Sarah wants to cover her square garden of length 423 feet with grass. The cost to cover a square foot is 2 dollars. Then how much will it cost to cover the full garden?
The length of the garden = 423 feet
The cost to cover 1 square foot of garden = 2 dollars.
To find the total cost to cover, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 423
Therefore, the area of the garden = 423² = 423 × 423 = 178,929.
The cost to cover the garden = 178,929 × 2 = 357,858.
The total cost = 357,858 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 357,858 dollars.
Problem 3
Find the area of a circle whose radius is 423 meters.
The area of the circle = 561,990.51 m²
Explanation
The area of a circle = πr²
Here, r = 423
Therefore, the area of the circle = π × 423² = 3.14 × 423 × 423 = 561,990.51 m².
Problem 4
The area of the square is 178,929 cm². Find the perimeter of the square.
The perimeter of the square is 1,692 cm.
Explanation
The area of the square = a²
Here, the area is 178,929 cm²
The length of the side is √178,929 = 423
Perimeter of the square = 4a
Here, a = 423
Therefore, the perimeter = 4 × 423 = 1,692.
Problem 5
Find the square of 424.
The square of 424 is 179,776.
Explanation
The square of 424 is multiplying 424 by 424.
So, the square = 424 × 424 = 179,776.
FAQs on Square of 423
1.What is the square of 423?
2.What is the square root of 423?
3.Is 423 a prime number?
4.What are the first few multiples of 423?
5.What is the square of 422?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 423?
8.How do technology and digital tools in United States support learning Algebra and Square of 423?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 423
- 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.
- 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, …
- Even number: An even number is a number that is divisible by 2. For example, 2, 4, 6, 8, 10, …
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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.
Fun Fact
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