115 LearnersLast updated on May 27th, 2025
Square of 2601
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.
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
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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
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.
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
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.
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.
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
Calculation errors:
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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 2601² with (2+6+0+1)² or (2600+1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square and square root.
Not understanding the concepts of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
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Solved Examples on Square of 2601
Problem 1
Find the length of the square, where the area of the square is 6765201 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 2601 meters.
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.
Problem 4
The area of the square is 6765201 cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 2602.
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?
2.What is the square root of 2601?
3.Is 2601 a perfect square?
4.What are the first few multiples of 2601?
5.What is the square of 2600?
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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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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.
