115 LearnersLast updated on May 30th, 2025
Square of 826
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 826.
What is the Square of 826
The square of a number is the product of the number itself.
The square of 826 is 826 × 826.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 826², where 826 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 826 is 826 × 826 = 682276.
Square of 826 in exponential form: 826²
Square of 826 in arithmetic form: 826 × 826
How to Calculate the Value of Square of 826
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
- 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 826.
Step 1: Identify the number. Here, the number is 826.
Step 2: Multiplying the number by itself, we get, 826 × 826 = 682276.
The square of 826 is 682276.
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 826.
So: 826² = 826 × 826 = 682276
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 826.
Step 1: Enter the number in the calculator Enter 826 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 826 × 826.
Step 3: Press the equal to button to find the answer Here, the square of 826 is 682276.
Tips and Tricks for the Square of 826
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 826
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 else by swapping 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 826
Problem 1
Find the length of the square, where the area of the square is 682276 cm².
The area of a square = a² So, the area of a square = 682276 cm² So, the length = √682276 = 826. The length of each side = 826 cm
Explanation
The length of a square is 826 cm.
Because the area is 682276 cm², the length is √682276 = 826.
Problem 2
Alice is planning to paint her square garden wall of length 826 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 = 826 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 = 826 Therefore, the area of the wall = 826² = 826 × 826 = 682276. The cost to paint the wall = 682276 × 3 = 2046828. The total cost = 2046828 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 2046828 dollars.
Problem 3
Find the area of a circle whose radius is 826 meters.
The area of the circle = 2,144,278.16 m²
Explanation
The area of a circle = πr²
Here, r = 826
Therefore, the area of the circle = π × 826² = 3.14 × 826 × 826 = 2,144,278.16 m².
Problem 4
The area of the square is 682276 cm². Find the perimeter of the square.
The perimeter of the square is 3304 cm.
Explanation
The area of the square = a²
Here, the area is 682276 cm²
The length of the side is √682276 = 826
Perimeter of the square = 4a
Here, a = 826
Therefore, the perimeter = 4 × 826 = 3304.
Problem 5
Find the square of 827.
The square of 827 is 684529.
Explanation
The square of 827 is multiplying 827 by 827.
So, the square = 827 × 827 = 684529.
FAQs on Square of 826
1.What is the square of 826?
2.What is the square root of 826?
3.Is 826 a prime number?
4.What are the first few multiples of 826?
5.What is the square of 820?
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 826?
8.How do technology and digital tools in United States support learning Algebra and Square of 826?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 826.
- Perfect square: A number that is the square of an integer. For example, 9, 16, 25, etc.
- Exponential form: Writing a number as a base raised to an exponent. For instance, 8².
- Square root: The value that gives the original number when multiplied by itself. For example, the square root of 16 is 4.
- Multiplication: An arithmetic operation where a number is added to itself a certain number of times.
- Inverse operations: Operations that reverse the effect of each other, such as squaring and finding the square root.
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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
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