Square of 502
2026-02-28 11:18 Diff
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Last updated on August 5, 2025

The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 502.

What is the Square of 502

The square of a number is the product of the number itself.

The square of 502 is 502 × 502.

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 502², where 502 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 502 is 502 × 502 = 252,004.

Square of 502 in exponential form: 502²

Square of 502 in arithmetic form: 502 × 502

How to Calculate the Value of Square of 502

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 502.

Step 1: Identify the number. Here, the number is 502.

Step 2: Multiplying the number by itself, we get, 502 × 502 = 252,004.

The square of 502 is 252,004.

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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 502.

So: 502² = 502 × 502 = 252,004

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 502.

Step 1: Enter the number in the calculator. Enter 502 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 502 × 502.

Step 3: Press the equal to button to find the answer. Here, the square of 502 is 252,004.

Tips and Tricks for the Square of 502

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.
  • 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 502

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.

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Problem 1

Find the length of the square, where the area of the square is 252,004 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 252,004 cm²

So, the length = √252,004 = 502.

The length of each side = 502 cm.

Explanation

The length of a square is 502 cm.

Because the area is 252,004 cm², the length is √252,004 = 502.

Well explained 👍

Problem 2

Sarah is planning to carpet her square room of length 502 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?

Okay, lets begin

The length of the room = 502 feet

The cost to carpet 1 square foot of the room = is 5 dollars.

To find the total cost to carpet, we find the area of the room.

Area of the room = area of the square = a²

Here a = 502

Therefore, the area of the room = 502² = 502 × 502 = 252,004.

The cost to carpet the room = 252,004 × 5 = 1,260,020.

The total cost = 1,260,020 dollars.

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.

So, the total cost is 1,260,020 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 502 meters.

Okay, lets begin

The area of the circle = 792,126.16 m²

Explanation

The area of a circle = πr²

Here, r = 502

Therefore, the area of the circle = π × 502² = 3.14 × 502 × 502 = 792,126.16 m².

Well explained 👍

Problem 4

The area of the square is 252,004 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 2,008 cm.

Explanation

The area of the square = a²

Here, the area is 252,004 cm²

The length of the side is √252,004 = 502

Perimeter of the square = 4a

Here, a = 502

Therefore, the perimeter = 4 × 502 = 2,008.

Well explained 👍

Problem 5

Find the square of 503.

Okay, lets begin

The square of 503 is 253,009.

Explanation

The square of 503 is multiplying 503 by 503.

So, the square = 503 × 503 = 253,009.

Well explained 👍

FAQs on Square of 502

1.What is the square of 502?

The square of 502 is 252,004, as 502 × 502 = 252,004.

2.What is the square root of 502?

The square root of 502 is approximately ±22.41.

3.Is 502 a prime number?

No, 502 is not a prime number; it is divisible by 1, 2, 251, and 502.

4.What are the first few multiples of 502?

The first few multiples of 502 are 502, 1,004, 1,506, 2,008, 2,510, and so on.

5.What is the square of 501?

The square of 501 is 251,001.

Important Glossaries for Square 502.

  • Perfect square: A perfect square is a number that is the square of an integer. For example, 4, 9, 16, etc.
  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
  • Square: The square of a number is the product of the number with itself. For example, the square of 3 is 9.
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
  • Even number: An even number is an integer that is exactly divisible by 2. For example, 2, 4, 6, etc.

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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.