Last updated on May 29th, 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 523.
The square of a number is the product of the number by itself.
The square of 523 is 523 × 523.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 523², where 523 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 523 is 523 × 523 = 273529.
Square of 523 in exponential form: 523²
Square of 523 in arithmetic form: 523 × 523
The square of a number is found by multiplying the number by itself. 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 523.
Step 1: Identify the number. Here, the number is 523.
Step 2: Multiplying the number by itself, we get, 523 × 523 = 273529.
The square of 523 is 273529.
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 523.
So: 523² = 523 × 523 = 273529
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 523.
Step 1: Enter the number in the calculator. Enter 523 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 523 × 523.
Step 3: Press the equal button to find the answer. Here, the square of 523 is 273529.
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 273529 cm².
The area of a square = a²
So, the area of a square = 273529 cm²
So, the length = √273529 = 523.
The length of each side = 523 cm.
The length of a square is 523 cm. Because the area is 273529 cm², the length is √273529 = 523.
Sarah is planning to tile her square patio with a length of 523 feet. The cost to tile a square foot is 10 dollars. Then how much will it cost to tile the full patio?
The length of the patio = 523 feet
The cost to tile 1 square foot of the patio = 10 dollars.
To find the total cost to tile, we find the area of the patio.
Area of the patio = area of the square = a²
Here a = 523
Therefore, the area of the patio = 523² = 523 × 523 = 273529.
The cost to tile the patio = 273529 × 10 = 2735290.
The total cost = 2735290 dollars.
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 2735290 dollars.
Find the area of a circle whose radius is 523 meters.
The area of the circle = 859,158.54 m²
The area of a circle = πr²
Here, r = 523
Therefore, the area of the circle = π × 523² = 3.14 × 523 × 523 = 859158.54 m².
The area of the square is 273529 cm². Find the perimeter of the square.
The perimeter of the square is 2092 cm.
The area of the square = a²
Here, the area is 273529 cm²
The length of the side is √273529 = 523
Perimeter of the square = 4a
Here, a = 523
Therefore, the perimeter = 4 × 523 = 2092 cm.
Find the square of 524.
The square of 524 is 274576
The square of 524 is multiplying 524 by 524.
So, the square = 524 × 524 = 274576
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.