116 LearnersLast updated on May 26th, 2025
Square of 164
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 164.
What is the Square of 164
The square of a number is the product of the number itself. The square of 164 is 164 × 164. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 164², where 164 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 164 is 164 × 164 = 26,896. Square of 164 in exponential form: 164² Square of 164 in arithmetic form: 164 × 164
How to Calculate the Value of Square of 164
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 164.
Step 1: Identify the number. Here, the number is 164
Step 2: Multiplying the number by itself, we get, 164 × 164 = 26,896. The square of 164 is 26,896.
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 164 So: 164² = 164 × 164 = 26,896
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 164.
Step 1: Enter the number in the calculator Enter 164 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 164 × 164
Step 3: Press the equal to button to find the answer Here, the square of 164 is 26,896.
Tips and Tricks for the Square of 164 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 164
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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 164² with (1 + 6 + 4)² or (100 + 60 + 4)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 164
Problem 1
Find the length of the square, where the area of the square is 26,896 cm².
The area of a square = a² So, the area of a square = 26,896 cm² So, the length = √26,896 = 164. The length of each side = 164 cm
Explanation
The length of a square is 164 cm.
Because the area is 26,896 cm² the length is √26,896 = 164.
Problem 2
Lisa is planning to tile her square kitchen floor of length 164 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 164 feet The cost to tile 1 square foot of floor = 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 = 164 Therefore, the area of the floor = 164² = 164 × 164 = 26,896. The cost to tile the floor = 26,896 × 5 = 134,480. The total cost = 134,480 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 134,480 dollars.
Problem 3
Find the area of a circle whose radius is 164 meters.
The area of the circle = 84,621.76 m²
Explanation
The area of a circle = πr²
Here, r = 164
Therefore, the area of the circle = π × 164²
= 3.14 × 164 × 164
= 84,621.76 m².
Problem 4
The area of the square is 26,896 cm². Find the perimeter of the square.
The perimeter of the square is 656 cm.
Explanation
The area of the square = a²
Here, the area is 26,896 cm²
The length of the side is √26,896 = 164
Perimeter of the square = 4a
Here, a = 164
Therefore, the perimeter = 4 × 164 = 656.
Problem 5
Find the square of 165.
The square of 165 is 27,225.
Explanation
The square of 165 is multiplying 165 by 165.
So, the square = 165 × 165 = 27,225
FAQs on Square of 164
1.What is the square of 164?
2.What is the square root of 164?
3.Is 164 a prime number?
4.What are the first few multiples of 164?
5.What is the square of 163?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 164?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 164?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square of 164.
- Even number: Any integer that is divisible by 2 is called an even number. For example, 2, 4, 6, 8, etc.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perimeter: The total length of the boundary of a two-dimensional shape. For example, the perimeter of a square with side length 'a' is 4a.
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About BrightChamps in Singapore
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.
