Last updated on May 30th, 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 the topic, we will discuss the square of 521.
The square of a number is the product of the number itself.
The square of 521 is 521 × 521.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 521², where 521 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 521 is 521 × 521 = 271,441.
Square of 521 in exponential form: 521²
Square of 521 in arithmetic form: 521 × 521
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 521.
Step 1: Identify the number. Here, the number is 521.
Step 2: Multiplying the number by itself, we get, 521 × 521 = 271,441.
The square of 521 is 271,441.
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 521
So: 521² = 521 × 521 = 271,441
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 521.
Step 1: Enter the number in the calculator. Enter 521 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 521 × 521
Step 3: Press the equal to button to find the answer. Here, the square of 521 is 271,441.
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 271,441 cm².
The area of a square = a²
So, the area of a square = 271,441 cm²
So, the length = √271,441 = 521.
The length of each side = 521 cm
The length of a square is 521 cm.
Because the area is 271,441 cm² the length is √271,441 = 521.
Anna is planning to paint her square garden of length 521 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full garden?
The length of the garden = 521 feet
The cost to paint 1 square foot of garden = 2 dollars.
To find the total cost to paint, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 521
Therefore, the area of the garden = 521² = 521 × 521 = 271,441.
The cost to paint the garden = 271,441 × 2 = 542,882.
The total cost = 542,882 dollars
To find the cost to paint the garden, we multiply the area of the garden by the cost to paint per foot. So, the total cost is 542,882 dollars.
Find the area of a circle whose radius is 521 meters.
The area of the circle = 853,707.34 m²
The area of a circle = πr²
Here, r = 521
Therefore, the area of the circle = π × 521² = 3.14 × 521 × 521 = 853,707.34 m².
The area of the square is 271,441 cm². Find the perimeter of the square.
The perimeter of the square is 2,084 cm.
The area of the square = a²
Here, the area is 271,441 cm²
The length of the side is √271,441 = 521
Perimeter of the square = 4a
Here, a = 521
Therefore, the perimeter = 4 × 521 = 2,084.
Find the square of 522.
The square of 522 is 272,484.
The square of 522 is multiplying 522 by 522.
So, the square = 522 × 522 = 272,484
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.