Last updated on June 2nd, 2025
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 497.
The square of a number is the product of the number itself.
The square of 497 is 497 × 497.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 497², where 497 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 497 is 497 × 497 = 247,009.
Square of 497 in exponential form: 497²
Square of 497 in arithmetic form: 497 × 497
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.
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 497.
Step 1: Identify the number. Here, the number is 497.
Step 2: Multiplying the number by itself, we get, 497 × 497 = 247,009.
The square of 497 is 247,009.
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 497.
So: 497² = 497 × 497 = 247,009
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 497.
Step 1: Enter the number in the calculator. Enter 497 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 497 × 497.
Step 3: Press the equal to button to find the answer Here, the square of 497 is 247,009.
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.
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.
Find the length of the square, where the area of the square is 247,009 cm².
The area of a square = a²
So, the area of a square = 247,009 cm²
So, the length = √247,009 = 497.
The length of each side = 497 cm
The length of a square is 497 cm.
Because the area is 247,009 cm², the length is √247,009 = 497.
Sarah is planning to tile her square floor of length 497 feet. The cost to tile a foot is 4 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 497 feet
The cost to tile 1 square foot of floor = 4 dollars.
To find the total cost to tile, we find the area of the floor.
Area of the floor = area of the square = a²
Here a = 497
Therefore, the area of the floor = 497² = 497 × 497 = 247,009.
The cost to tile the floor = 247,009 × 4 = 988,036.
The total cost = 988,036 dollars
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 988,036 dollars.
Find the area of a circle whose radius is 497 meters.
The area of the circle = 775,699.59 m²
The area of a circle = πr²
Here, r = 497
Therefore, the area of the circle = π × 497² = 3.14 × 497 × 497 = 775,699.59 m².
The area of the square is 247,009 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 247,009 cm²
The length of the side is √247,009 = 497
Perimeter of the square = 4a
Here, a = 497
Therefore, the perimeter = 4 × 497 = 1,988.
Find the square of 498.
The square of 498 is 248,004
The square of 498 is multiplying 498 by 498.
So, the square = 498 × 498 = 248,004
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.
: He loves to play the quiz with kids through algebra to make kids love it.