128 LearnersLast updated on June 2nd, 2025
Square of 496
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 496.
What is the Square of 496
The square of a number is the product of the number itself.
The square of 496 is 496 × 496.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 496², where 496 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 496 is 496 × 496 = 246016.
Square of 496 in exponential form: 496²
Square of 496 in arithmetic form: 496 × 496
How to Calculate the Value of Square of 496
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 (a2)
- 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 496.
Step 1: Identify the number. Here, the number is 496.
Step 2: Multiplying the number by itself, we get, 496 × 496 = 246016.
The square of 496 is 246016.
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 496.
So: 496² = 496 × 496 = 246016
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 496.
Step 1: Enter the number in the calculator. Enter 496 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 496 × 496
Step 3: Press the equal to button to find the answer Here, the square of 496 is 246016.
Tips and Tricks for the Square of 496
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 496
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 them, 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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 496² with (4 + 96)² or (400 + 96)². So students should check and use the correct formula and double-check the answers to avoid all 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 errors.
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 496
Problem 1
Find the length of the square, where the area of the square is 246016 cm².
The area of a square = a²
So, the area of a square = 246016 cm²
So, the length = √246016 = 496.
The length of each side = 496 cm
Explanation
The length of a square is 496 cm.
Because the area is 246016 cm², the length is √246016 = 496.
Problem 2
Sarah wants to buy tiles to cover her square kitchen floor of length 496 feet. Each tile covers an area of 4 square feet. How many tiles does she need?
The length of the kitchen floor = 496 feet
The area of the kitchen floor = 496 × 496 = 246016 square feet
Each tile covers 4 square feet.
Number of tiles needed = 246016 ÷ 4 = 61504.
Sarah needs 61504 tiles.
Explanation
To find the number of tiles required, divide the total area of the floor by the area each tile covers. So, Sarah needs 61504 tiles.
Problem 3
Find the area of a circle whose radius is 496 meters.
The area of the circle = 772,176.64 m²
Explanation
The area of a circle = πr²
Here, r = 496
Therefore, the area of the circle = π × 496² = 3.14 × 496 × 496 = 772,176.64 m².
Problem 4
The area of the square is 246016 cm². Find the perimeter of the square.
The perimeter of the square is 1984 cm.
Explanation
The area of the square = a²
Here, the area is 246016 cm²
The length of the side is √246016 = 496
Perimeter of the square = 4a
Here, a = 496
Therefore, the perimeter = 4 × 496 = 1984 cm.
Problem 5
Find the square of 497.
The square of 497 is 247009.
Explanation
The square of 497 is multiplying 497 by 497.
So, the square = 497 × 497 = 247009.
FAQs on Square of 496
1.What is the square of 496?
2.What is the square root of 496?
3.Is 496 a perfect square?
4.What are the first few multiples of 496?
5.What is the square of 495?
6.How does learning Algebra help students in Oman make better decisions in daily life?
7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 496?
8.How do technology and digital tools in Oman support learning Algebra and Square of 496?
9.Does learning Algebra support future career opportunities for students in Oman?
Important Glossaries for Square 496.
- Square: The result of multiplying a number by itself. For example, 496² = 246016.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponential Form: A way of expressing numbers using a base and an exponent. For example, 496² represents 496 raised to the power of 2.
- Square Root: The value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Circle Area Formula: The formula to find the area of a circle is πr², where r is the radius of the circle.
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About BrightChamps in Oman
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.
