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Last updated on May 12th, 2025

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Square of 428

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Foundation
Intermediate
Advance Topics

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.

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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

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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.

 

  1. By Multiplication Method
  2. Using a Formula
  3. 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 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.

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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 428

 

So: 428² = 428 × 428 = 183,184

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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 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.
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Common Mistakes to Avoid When Calculating the Square of 428

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Solved Examples on Square of 428

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Problem 1

Find the length of the square, where the area of the square is 183,184 cm².

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Explanation

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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?

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Explanation

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Problem 3

Find the area of a circle whose radius is 428 meters.

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Explanation

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Problem 4

The area of the square is 139,600 cm². Find the perimeter of the square.

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Explanation

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Problem 5

Find the square of 429.

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Explanation

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FAQs on Square of 428

1.What is the square of 428?

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2.What is the square root of 428?

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3.Is 428 a prime number?

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4.What are the first few multiples of 428?

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5.What is the square of 427?

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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.

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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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