116 LearnersLast updated on May 26th, 2025
Square of 173
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 173.
What is the Square of 173
The square of a number is the product of the number itself. The square of 173 is 173 × 173. The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 173², where 173 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 173 is 173 × 173 = 29,929. Square of 173 in exponential form: 173² Square of 173 in arithmetic form: 173 × 173
How to Calculate the Value of Square of 173
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 173.
Step 1: Identify the number. Here, the number is 173.
Step 2: Multiplying the number by itself, we get, 173 × 173 = 29,929. The square of 173 is 29,929.
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 173. So: 173² = 173 × 173 = 29,929
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 173.
Step 1: Enter the number in the calculator Enter 173 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 173 × 173
Step 3: Press the equal to button to find the answer Here, the square of 173 is 29,929.
Tips and Tricks for the Square of 173 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 173
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 173² with (1+7+3)² or (170+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 173
Problem 1
Find the length of the square, where the area of the square is 29,929 cm².
The area of a square = a² So, the area of a square = 29,929 cm² So, the length = √29,929 = 173. The length of each side = 173 cm
Explanation
The length of a square is 173 cm.
Because the area is 29,929 cm², the length is √29,929 = 173.
Problem 2
Emily is planning to decorate her square-shaped garden of length 173 feet with flowers. The cost to plant flowers per square foot is 2 dollars. Then how much will it cost to decorate the entire garden?
The length of the garden = 173 feet The cost to plant flowers per square foot = 2 dollars. To find the total cost to decorate, we find the area of the garden, Area of the garden = area of the square = a² Here a = 173 Therefore, the area of the garden = 173² = 173 × 173 = 29,929. The cost to decorate the garden = 29,929 × 2 = 59,858. The total cost = 59,858 dollars
Explanation
To find the cost to decorate the garden, we multiply the area of the garden by the cost to plant per square foot.
So, the total cost is 59,858 dollars.
Problem 3
Find the area of a circle whose radius is 173 meters.
The area of the circle = 94,158.34 m²
Explanation
The area of a circle = πr²
Here, r = 173
Therefore, the area of the circle = π × 173²
= 3.14 × 173 × 173
= 94,158.34 m².
Problem 4
The area of the square is 30,000 cm². Find the perimeter of the square.
The perimeter of the square is 692 cm.
Explanation
The area of the square = a²
Here, the area is 30,000 cm²
The length of the side is √30,000 ≈ 173.16
Perimeter of the square = 4a
Here, a ≈ 173.16
Therefore, the perimeter ≈ 4 × 173.16 = 692.64 cm, rounded to 692 cm.
Problem 5
Find the square of 174.
The square of 174 is 30,276.
Explanation
The square of 174 is multiplying 174 by 174.
So, the square = 174 × 174 = 30,276
FAQs on Square of 173
1.What is the square of 173?
2.What is the square root of 173?
3.Is 173 a prime number?
4.What are the first few multiples of 173?
5.What is the square of 172?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 173?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 173?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square of 173.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, ...
- 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.
- 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.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Area of a circle: Calculated using the formula πr², where r is the radius of the circle.
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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.
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