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Last updated on May 27th, 2025

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Square of 2601

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The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 2601.

Square of 2601 for UAE Students
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What is the Square of 2601

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

 

The square of 2601 is 2601 × 2601.

 

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

 

We write it in math as 2601², where 2601 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 2601 is 2601 × 2601 = 6765201.

 

Square of 2601 in exponential form: 2601²

 

Square of 2601 in arithmetic form: 2601 × 2601

square of 2601

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How to Calculate the Value of Square of 2601

The square of a number is obtained 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 (a2)
     
  • Using a Calculator
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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 2601.

 

Step 1: Identify the number. Here, the number is 2601.

 

Step 2: Multiplying the number by itself, we get, 2601 × 2601 = 6765201.

 

The square of 2601 is 6765201.

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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 2601 So: 2601² = 2601 × 2601 = 6765201

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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 2601.

 

Step 1: Enter the number in the calculator Enter 2601 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 2601 × 2601

 

Step 3: Press the equal to button to find the answer Here, the square of 2601 is 6765201.

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Tips and Tricks for the Square of 2601

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, √2 = 1.414
     
  • The square root of a perfect square is always a whole number. For example, √144 = 12.
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Common Mistakes to Avoid When Calculating the Square of 2601

Mistakes are common among kids when doing math, especially when it involves finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip steps or swap digits. To avoid them, students should double-check the answer. They can double-check by finding the square root of the solution they found.

 

For example, the square of 25 is 625, and the square root of 625 is ±25.

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Solved Examples on Square of 2601

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Problem 1

Find the length of the square, where the area of the square is 6765201 cm².

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The area of a square = a²

So, the area of a square = 6765201 cm²

So, the length = √6765201 = 2601.

The length of each side = 2601 cm

Explanation

The length of a square is 2601 cm.

Because the area is 6765201 cm², the length is √6765201 = 2601.

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Problem 2

Lisa is planning to paint her square wall of length 2601 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

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The length of the wall = 2601 feet

The cost to paint 1 square foot of wall = 3 dollars.

To find the total cost to paint, we find the area of the wall,

Area of the wall = area of the square = a²

Here a = 2601

Therefore, the area of the wall = 2601² = 2601 × 2601 = 6765201.

The cost to paint the wall = 6765201 × 3 = 20295603.

The total cost = 20295603 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.

So, the total cost is 20295603 dollars.

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Problem 3

Find the area of a circle whose radius is 2601 meters.

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The area of the circle = 21209178.54 m²

Explanation

The area of a circle = πr²

Here, r = 2601

Therefore, the area of the circle = π × 2601² = 3.14 × 2601 × 2601 = 21209178.54 m².

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Problem 4

The area of the square is 6765201 cm². Find the perimeter of the square.

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The perimeter of the square is 10404 cm.

Explanation

The area of the square = a²

Here, the area is 6765201 cm²

The length of the side is √6765201 = 2601

Perimeter of the square = 4a

Here, a = 2601

Therefore, the perimeter = 4 × 2601 = 10404 cm.

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Problem 5

Find the square of 2602.

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The square of 2602 is 6769204.

Explanation

The square of 2602 is obtained by multiplying 2602 by 2602.

So, the square = 2602 × 2602 = 6769204.

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FAQs on Square of 2601

1.What is the square of 2601?

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2.What is the square root of 2601?

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3.Is 2601 a perfect square?

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4.What are the first few multiples of 2601?

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5.What is the square of 2600?

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6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 2601?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 2601?

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9.Does learning Algebra support future career opportunities for students in United Arab Emirates?

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Professor Greenline from BrightChamps

Important Glossaries for Square of 2601.

  • Perfect square: A number that is the square of an integer. For example, 2601 is a perfect square because it is 51².

 

  • Exponential form: Writing a number in the form of a power, such as 2601², where 2601 is the base and 2 is the exponent.

 

  • Square: The result of multiplying a number by itself. For example, the square of 5 is 25.

 

  • Square root: The inverse operation of squaring a number. The square root of 25 is 5.

 

  • Multiplication method: A technique for finding the square by multiplying the number by itself.
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About BrightChamps in United Arab Emirates

At BrightChamps, algebra is much more than numbers—it opens doors to countless opportunities! Our goal is to help children throughout the UAE develop key math skills, with today’s lesson focused on the Square of 2601 and a special emphasis on understanding squares—in a way that’s fun, engaging, and easy to grasp. Whether your child is timing a roller coaster at Dubai Parks and Resorts, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence to handle daily challenges. Our lessons make learning simple and enjoyable. Because children in the UAE have different learning styles, we customize our approach for each child. From Dubai’s towering skyscrapers to Abu Dhabi’s rich culture, BrightChamps brings math to life, making it exciting and relevant throughout the UAE. Let’s make squares an enjoyable part of every child’s math journey!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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