102 LearnersLast updated on May 27th, 2025
Square of 526
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and more. In this topic, we will discuss the square of 526.
What is the Square of 526
The square of a number is the product of the number itself.
The square of 526 is 526 × 526.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as (5262), where 526 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 526 is 526 × 526 = 276676.
Square of 526 in exponential form: (5262)
Square of 526 in arithmetic form: 526 × 526
How to Calculate the Value of Square of 526
The square of a number is 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 526.
Step 1: Identify the number. Here, the number is 526.
Step 2: Multiplying the number by itself, we get, 526 × 526 = 276676.
The square of 526 is 276676.
Using a Formula (\(a^2\))
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 = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 526. So: 5262 = 526 × 526 = 276676
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 526.
Step 1: Enter the number in the calculator. Enter 526 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 526 × 526.
Step 3: Press the equal button to find the answer. Here, the square of 526 is 276676.
Tips and Tricks for the Square of 526
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 526
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or swap the digits. To avoid it, 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.
Solved Examples on Square of 526
Problem 1
Find the length of the square, where the area of the square is 276676 cm².
The area of a square = (a2) So, the area of a square = 276676 cm²
So, the length = (√276676 = 526).
The length of each side = 526 cm
Explanation
The length of a square is 526 cm.
Because the area is 276676 cm², the length is (√276676 = 526).
Problem 2
Sarah is designing a square garden with a side length of 526 feet. If she wants to install a fence that costs 5 dollars per foot, how much will it cost to enclose the entire garden?
The length of the garden = 526 feet The cost to install a fence per foot = 5 dollars.
To find the total cost to enclose, we find the perimeter of the garden, Perimeter of the garden = 4a
Here, a = 526 Therefore, the perimeter = 4 × 526 = 2104.
The cost to enclose the garden = 2104 × 5 = 10520.
The total cost = 10520 dollars
Explanation
To find the cost to enclose the garden, we multiply the perimeter of the garden by the cost to install per foot. So, the total cost is 10520 dollars.
Problem 3
Find the area of a circle whose radius is 526 meters.
The area of the circle = 869770.04 m²
Explanation
The area of a circle = (pi r2)
Here, r = 526 Therefore, the area of the circle = pi × 5262 = 3.14 × 526 × 526 = 869770.04 m².
Problem 4
The area of a square is 275625 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = (a2)
Here, the area is 275625 cm²
The length of the side is (√275625 = 525) Perimeter of the square = 4a
Here, a = 525 Therefore, the perimeter = 4 × 525 = 2100.
Problem 5
Find the square of 527.
The square of 527 is 277729
Explanation
The square of 527 is multiplying 527 by 527.
So, the square = 527 × 527 = 277729
FAQs on Square of 526
1.What is the square of 526?
2.What is the square root of 526?
3.Is 526 a prime number?
4.What are the first few multiples of 526?
5.What is the square of 525?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 526?
8.How do technology and digital tools in United States support learning Algebra and Square of 526?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 526
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is (62).
- Exponential Form: A way of writing numbers using a base and an exponent. For example, (92) where 9 is the base and 2 is the exponent.
- Square Root: The number that, when multiplied by itself, gives the original number. The square root of 49 is 7.
- Even Number: A number divisible by 2 without a remainder. Examples include 2, 4, 6, and 8.
- Odd Number: A number not divisible by 2. Examples include 1, 3, 5, and 7.
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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.
