Square of 25
2026-02-28 17:22 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 25.

What is the Square of 25

The square of a number is the product of the number multiplied by itself. The square of 25 is 25 × 25. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 25², where 25 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.

For example, 5² = 25; (-5)² = 25.

The square of 25 is 25 × 25 = 625.

Square of 25 in exponential form: 25²

Square of 25 in arithmetic form: 25 × 25

How to Calculate the Value of the Square of 25

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: 

  • By Multiplication Method 
  • Using a Formula 
  • 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 25.

Step 1: Identify the number. Here, the number is 25.

Step 2: Multiplying the number by itself, we get, 25 × 25 = 625.

The square of 25 is 625.

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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 25.

So: 25² = 25 × 25 = 625

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 25.

Step 1: Enter the number in the calculator. Enter 25 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 25 × 25.

Step 3: Press the equal to button to find the answer. Here, the square of 25 is 625.

Tips and Tricks for the Square of 25

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 25

Mistakes are common among kids when doing math, especially when it comes to 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 a square where the area of the square is 625 cm².

Okay, lets begin

The area of a square = a²

So, the area of the square = 625 cm²

So, the length = √625 = 25.

The length of each side = 25 cm

Explanation

The length of a square is 25 cm because the area is 625 cm², and the length is √625 = 25.

Well explained 👍

Problem 2

Anna wants to build a square garden with each side measuring 25 meters. If the cost to build each square meter is 5 dollars, how much will it cost to build the entire garden?

Okay, lets begin

The length of the garden = 25 meters

The cost to build 1 square meter of garden = 5 dollars.

To find the total cost to build, we find the area of the garden,

Area of the garden = area of the square = a²

Here a = 25

Therefore, the area of the garden = 25² = 25 × 25 = 625.

The cost to build the garden = 625 × 5 = 3125.

The total cost = 3125 dollars

Explanation

To find the cost to build the garden, we multiply the area of the garden by the cost to build per square meter. So, the total cost is 3125 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 25 meters.

Okay, lets begin

The area of the circle = 1,962.5 m²

Explanation

The area of a circle = πr²

Here, r = 25

Therefore, the area of the circle = π × 25²

= 3.14 × 25 × 25

= 1,962.5 m².

Well explained 👍

Problem 4

The area of a square is 625 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 100 cm.

Explanation

The area of the square = a²

Here, the area is 625 cm²

The length of the side is √625 = 25

Perimeter of the square = 4a

Here, a = 25

Therefore, the perimeter = 4 × 25 = 100 cm.

Well explained 👍

Problem 5

Find the square of 26.

Okay, lets begin

The square of 26 is 676.

Explanation

The square of 26 is found by multiplying 26 by 26.

So, the square = 26 × 26 = 676.

Well explained 👍

FAQs on Square of 25

1.What is the square of 25?

The square of 25 is 625, as 25 × 25 = 625.

2.What is the square root of 25?

The square root of 25 is ±5.

3.Is 25 a prime number?

No, 25 is not a prime number; it is divisible by 1, 5, and 25.

4.What are the first few multiples of 25?

The first few multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, and so on.

5.What is the square of 24?

Important Glossary for Square of 25

  • Square: The result of multiplying a number by itself. For example, 25² = 625.
  • Perfect Square: A number that is the square of an integer. For example, 625 is a perfect square.
  • Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 25², 2 is the exponent.
  • Area: The extent of a two-dimensional surface. The area of a square is a², where a is the side length.
  • Square Root: The value that, when multiplied by itself, gives the original number. For example, the square root of 625 is ±25.

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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.