117 LearnersLast updated on May 26th, 2025
Square of 163
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 163.
What is the Square of 163
The square of a number is the product of the number itself. The square of 163 is 163 × 163. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 163², where 163 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 163 is 163 × 163 = 26,569. Square of 163 in exponential form: 163² Square of 163 in arithmetic form: 163 × 163
How to Calculate the Value of Square of 163
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 163
Step 1: Identify the number. Here, the number is 163
Step 2: Multiplying the number by itself, we get, 163 × 163 = 26,569. The square of 163 is 26,569.
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 163 So: 163² = 163 × 163 = 26,569
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 163.
Step 1: Enter the number in the calculator Enter 163 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 163 × 163
Step 3: Press the equal to button to find the answer Here, the square of 163 is 26,569.
Tips and Tricks for the Square of 163 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 163
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 163² with (1 + 6 + 3)² or (100 + 60 + 3)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 error.
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 163
Problem 1
A square garden has an area of 26,569 square meters. What is the length of one side of the garden?
The area of a square = a² So, the area of a square = 26,569 m² So, the length = √26,569 = 163. The length of each side = 163 m
Explanation
The length of the square garden is 163 meters.
Because the area is 26,569 m², the length is √26,569 = 163.
Problem 2
Sarah wants to tile her square kitchen floor, which is 163 feet on each side. The cost of tiling per square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 163 feet The cost to tile 1 square foot = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 163 Therefore, the area of the floor = 163² = 163 × 163 = 26,569. The cost to tile the floor = 26,569 × 5 = 132,845. The total cost = 132,845 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot.
So, the total cost is 132,845 dollars.
Problem 3
Find the area of a circle whose radius is 163 meters.
The area of the circle = 83,534.77 m²
Explanation
The area of a circle = πr²
Here, r = 163
Therefore, the area of the circle = π × 163²
= 3.14 × 163 × 163
= 83,534.77 m².
Problem 4
The area of the square is 26,569 cm². Find the perimeter of the square.
The perimeter of the square is 652 cm.
Explanation
The area of the square = a²
Here, the area is 26,569 cm²
The length of the side is √26,569 = 163
Perimeter of the square = 4a
Here, a = 163
Therefore, the perimeter = 4 × 163 = 652.
Problem 5
Find the square of 164.
The square of 164 is 26,896.
Explanation
The square of 164 is multiplying 164 by 164.
So, the square = 164 × 164 = 26,896.
FAQs on Square of 163
1.What is the square of 163?
2.What is the square root of 163?
3.Is 163 a prime number?
4.What are the first few multiples of 163?
5.What is the square of 162?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 163?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 163?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 163.
- Prime number: A number that is only divisible by 1 and itself, such as 2, 3, 5, 7, and 11.
- Exponential form: A way of writing numbers using a base and an exponent, such as 9² where 9 is the base and 2 is the exponent.
- Square root: 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, such as 144, which is 12².
- Perimeter: The total length of the sides of a two-dimensional shape. For a square, it is calculated as 4 times the side length.
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About BrightChamps in Vietnam
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.
