128 LearnersLast updated on May 29th, 2025
Square of 26387
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 26387.
What is the Square of 26387
The square of a number is the product of the number itself.
The square of 26387 is 26387 × 26387.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 26387², where 26387 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 26387 is 26387 × 26387 = 696,685,369.
Square of 26387 in exponential form: 26387²
Square of 26387 in arithmetic form: 26387 × 26387
How to Calculate the Value of Square of 26387
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 26387
Step 1: Identify the number. Here, the number is 26387
Step 2: Multiplying the number by itself, we get, 26387 × 26387 = 696,685,369.
The square of 26387 is 696,685,369.
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 26387
So: 26387² = 26387 × 26387 = 696,685,369
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 26387.
Step 1: Enter the number in the calculator Enter 26387 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 26387 × 26387
Step 3: Press the equal to button to find the answer
Here, the square of 26387 is 696,685,369.
Tips and Tricks for the Square of 26387
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.
- 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 26387
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 26387² with (2+6+3+8+7)² or (26000+387)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept 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 do the 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 do regular practice to avoid errors.
Solved Examples on Square of 26387
Problem 1
Find the length of the square, where the area of the square is 696,685,369 cm².
The area of a square = a² So, the area of a square = 696,685,369 cm² So, the length = √696,685,369 = 26387. The length of each side = 26387 cm
Explanation
The length of a square is 26387 cm.
Because the area is 696,685,369 cm² the length is √696,685,369 = 26387.
Problem 2
Alice wants to carpet her square office of length 26387 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the entire office?
The length of the office = 26387 feet The cost to carpet 1 square foot of office = is 5 dollars. To find the total cost to carpet, we find the area of the office, Area of the office = area of the square = a² Here a = 26387 Therefore, the area of the office = 26387² = 26387 × 26387 = 696,685,369. The cost to carpet the office = 696,685,369 × 5 = 3,483,426,845. The total cost = 3,483,426,845 dollars.
Explanation
To find the cost to carpet the office, we multiply the area of the office by the cost to carpet per foot.
So, the total cost is 3,483,426,845 dollars.
Problem 3
Find the area of a circle whose radius is 26387 meters.
The area of the circle = 2,188,688,130.22 m²
Explanation
The area of a circle = πr²
Here, r = 26387
Therefore, the area of the circle = π × 26387² = 3.14 × 26387 × 26387 = 2,188,688,130.22 m².
Problem 4
The area of the square is 696,685,369 cm². Find the perimeter of the square.
The perimeter of the square is 105,548 cm.
Explanation
The area of the square = a²
Here, the area is 696,685,369 cm²
The length of the side is √696,685,369 = 26387
Perimeter of the square = 4a
Here, a = 26387
Therefore, the perimeter = 4 × 26387 = 105,548.
Problem 5
Find the square of 26388.
The square of 26388 is 696,738,544.
Explanation
The square of 26388 is multiplying 26388 by 26388.
So, the square = 26388 × 26388 = 696,738,544
FAQs on Square of 26387
1.What is the square of 26387?
2.What is the square root of 26387?
3.Is 26387 a prime number?
4.What are the first few multiples of 26387?
5.What is the square of 26386?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 26387?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 26387?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square of 26387.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, and 26387.
- Exponential form: Exponential form represents a number as a base raised to a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Multiplication method: A method of finding the square of a number by multiplying it by itself.
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About BrightChamps in Qatar
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.
