119 LearnersLast updated on May 26th, 2025
Square of 863
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 863.
What is the Square of 863
The square of a number is the product of the number with itself. The square of 863 is 863 × 863. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 863², where 863 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 863 is 863 × 863 = 744769.
Square of 863 in exponential form: 863²
Square of 863 in arithmetic form: 863 × 863
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How to Calculate the Value of the Square of 863
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 863.
Step 1: Identify the number. Here, the number is 863.
Step 2: Multiplying the number by itself, we get, 863 × 863 = 744769.
The square of 863 is 744769.
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 863 So: 863² = 863 × 863 = 744769
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 863.
Step 1: Enter the number in the calculator Enter 863 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 863 × 863
Step 3: Press the equal to button to find the answer Here, the square of 863 is 744769.
Tips and Tricks for the Square of 863
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 863
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 steps or swap 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 863² with (800 + 63)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 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.
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Solved Examples on Square of 863
Problem 1
Find the length of a square, where the area of the square is 744769 cm².
The area of a square = a²
So, the area of a square = 744769 cm²
So, the length = √744769 = 863.
The length of each side = 863 cm
Explanation
The length of a square is 863 cm.
Because the area is 744769 cm² the length is √744769 = 863.
Problem 2
Anna is planning to paint her square garden wall of length 863 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 863 feet
The cost to paint 1 square foot of the wall = 2 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 = 863
Therefore, the area of the wall = 863² = 863 × 863 = 744769.
The cost to paint the wall = 744769 × 2 = 1489538.
The total cost = 1489538 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 1489538 dollars.
Problem 3
A circular park has a radius of 863 meters. Find the area of the park.
The area of the circle = 2,340,307.34 m²
Explanation
The area of a circle = πr²
Here, r = 863
Therefore, the area of the circle = π × 863² = 3.14 × 863 × 863 = 2,340,307.34 m².
Problem 4
The area of the square is 744769 cm². Find the perimeter of the square.
The perimeter of the square is 3452 cm.
Explanation
The area of the square = a²
Here, the area is 744769 cm²
The length of the side is √744769 = 863
Perimeter of the square = 4a
Here, a = 863
Therefore, the perimeter = 4 × 863 = 3452.
Problem 5
Find the square of 864.
The square of 864 is 746496.
Explanation
The square of 864 is multiplying 864 by 864.
So, the square = 864 × 864 = 746496
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FAQs on Square of 863
1.What is the square of 863?
2.What is the square root of 863?
3.Is 863 a prime number?
4.What are the first few multiples of 863?
5.What is the square of 862?
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Important Glossaries for Square of 863
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of writing numbers using bases and exponents. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. 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, 36 is a perfect square because it is 6².
- Multiplication method: A method to find 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.
