138 LearnersLast updated on May 30th, 2025
Square of 242
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 242.
What is the Square of 242
The square of a number is the product of the number itself.
The square of 242 is 242 × 242.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 242², where 242 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 242 is 242 × 242 = 58,564.
Square of 242 in exponential form: 242²
Square of 242 in arithmetic form: 242 × 242
How to Calculate the Value of Square of 242
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 242.
Step 1: Identify the number. Here, the number is 242.
Step 2: Multiplying the number by itself, we get, 242 × 242 = 58,564.
The square of 242 is 58,564.
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 242.
So: 242² = 242 × 242 = 58,564
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 242.
Step 1: Enter the number in the calculator Enter 242 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 242 × 242
Step 3: Press the equal to button to find the answer
Here, the square of 242 is 58,564.
Tips and Tricks for the Square of 242
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 242
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 242² with (2+4+2)² or (240+2)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 242
Problem 1
Find the length of the square, where the area of the square is 58,564 cm².
The area of a square = a² So, the area of a square = 58,564 cm² So, the length = √58,564 = 242. The length of each side = 242 cm
Explanation
The length of a square is 242 cm.
Because the area is 58,564 cm² the length is √58,564 = 242.
Problem 2
Anna wants to plant a garden in a square plot of land with a side length of 242 meters. If each meter requires 5 seeds, how many seeds are needed?
The length of the garden = 242 meters Seeds required per square meter = 5 seeds. To find the total seeds needed, we find the area of the garden, Area of the garden = area of the square = a² Here a = 242 Therefore, the area of the garden = 242² = 242 × 242 = 58,564. The seeds needed = 58,564 × 5 = 292,820. The total seeds needed = 292,820
Explanation
To find the total number of seeds needed, we multiply the area of the garden by the seeds required per meter.
So, the total seeds needed are 292,820.
Problem 3
Find the area of a circle whose radius is 242 meters.
The area of the circle = 184,847.36 m²
Explanation
The area of a circle = πr²
Here, r = 242
Therefore, the area of the circle = π × 242² = 3.14 × 242 × 242 = 184,847.36 m².
Problem 4
The area of the square is 58,564 cm². Find the perimeter of the square.
The perimeter of the square is 968 cm.
Explanation
The area of the square = a²
Here, the area is 58,564 cm²
The length of the side is √58,564 = 242
Perimeter of the square = 4a
Here, a = 242
Therefore, the perimeter = 4 × 242 = 968.
Problem 5
Find the square of 243.
The square of 243 is 59,049.
Explanation
The square of 243 is multiplying 243 by 243.
So, the square = 243 × 243 = 59,049.
FAQs on Square of 242
1.What is the square of 242?
2.What is the square root of 242?
3.Is 242 a prime number?
4.What are the first few multiples of 242?
5.What is the square of 241?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 242?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 242?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 242.
- Square: The result of multiplying a number by itself.
- Exponential form: A way of writing a number in the form of a power, like 242² where 242 is the base and 2 is the power.
- Square root: The inverse operation of the square. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that has an integer as its square root.
- Even number: An integer that is divisible by 2. For example, 2, 4, 6, etc.
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About BrightChamps in Singapore
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.
