117 LearnersLast updated on May 26th, 2025
Square of 428
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 428.
What is the Square of 428
The square of a number is the product of the number itself. The square of 428 is 428 × 428. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 428², where 428 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 428 is 428 × 428 = 183,184.
Square of 428 in exponential form: 428²
Square of 428 in arithmetic form: 428 × 428
How to Calculate the Value of Square of 428
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 428
Step 1: Identify the number. Here, the number is 428
Step 2: Multiplying the number by itself, we get, 428 × 428 = 183,184.
The square of 428 is 183,184.
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 428
So: 428² = 428 × 428 = 183,184
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 428.
Step 1: Enter the number in the calculator Enter 428 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 428 × 428
Step 3: Press the equal to button to find the answer Here, the square of 428 is 183,184.
Tips and Tricks for the Square of 428: 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 428
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 428
Problem 1
Find the length of the square, where the area of the square is 183,184 cm².
The area of a square = a²
So, the area of a square = 183,184 cm²
So, the length = √183,184 = 428.
The length of each side = 428 cm
Explanation
The length of a square is 428 cm. Because the area is 183,184 cm² the length is √183,184 = 428.
Problem 2
Lily is planning to paint her square wall of length 428 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 428 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 = 428
Therefore, the area of the wall = 428² = 428 × 428 = 183,184.
The cost to paint the wall = 183,184 × 3 = 549,552.
The total cost = 549,552 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 549,552 dollars.
Problem 3
Find the area of a circle whose radius is 428 meters.
The area of the circle = 575,530.24 m²
Explanation
The area of a circle = πr²
Here, r = 428
Therefore, the area of the circle = π × 428² = 3.14 × 428 × 428 = 575,530.24 m².
Problem 4
The area of the square is 139,600 cm². Find the perimeter of the square.
The perimeter of the square is 1,496 cm.
Explanation
The area of the square = a²
Here, the area is 139,600 cm²
The length of the side is √139,600 = 374
Perimeter of the square = 4a
Here, a = 374
Therefore, the perimeter = 4 × 374 = 1,496 cm.
Problem 5
Find the square of 429.
The square of 429 is 184,041.
Explanation
The square of 429 is multiplying 429 by 429.
So, the square = 429 × 429 = 184,041
FAQs on Square of 428
1.What is the square of 428?
2.What is the square root of 428?
3.Is 428 a prime number?
4.What are the first few multiples of 428?
5.What is the square of 427?
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 428?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 428?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 428.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in 5², 2 is the exponent.
- Even Number: An integer divisible by 2 without a remainder. For example, 4, 6, 8, etc.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself, like 2, 3, 5, etc.
- Square Root: A number that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
