130 LearnersLast updated on May 30th, 2025
Square of 573
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 573.
What is the Square of 573
The square of a number is the product of the number by itself.
The square of 573 is 573 × 573.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 573², where 573 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 573 is 573 × 573 = 328,329.
Square of 573 in exponential form: 573²
Square of 573 in arithmetic form: 573 × 573
How to Calculate the Value of Square of 573
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number using common methods:
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 573.
Step 1: Identify the number. Here, the number is 573.
Step 2: Multiplying the number by itself, we get, 573 × 573 = 328,329.
The square of 573 is 328,329.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 573.
So: 573² = 573 × 573 = 328,329.
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 573.
Step 1: Enter the number in the calculator Enter 573 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 573 × 573
Step 3: Press the equal to button to find the answer
Here, the square of 573 is 328,329.
Tips and Tricks for the Square of 573
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 573
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 their answers. 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 573² with (5 + 7 + 3)² or (500 + 70 + 3)². So students should check and use the correct formula and double-check their answers to avoid all 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 this, 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 practice regularly to avoid errors.
Solved Examples on Square of 573
Problem 1
Find the length of the square, where the area of the square is 328,329 cm².
The area of a square = a² So, the area of a square = 328,329 cm² So, the length = √328,329 = 573. The length of each side = 573 cm
Explanation
The length of a square is 573 cm because the area is 328,329 cm² and the length is √328,329 = 573.
Problem 2
Jill is planning to paint her square garden wall of length 573 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the entire wall?
The length of the wall = 573 feet The cost to paint 1 square foot of 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 = 573 Therefore, the area of the wall = 573² = 573 × 573 = 328,329. The cost to paint the wall = 328,329 × 2 = 656,658. The total cost = 656,658 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 656,658 dollars.
Problem 3
Find the area of a circle whose radius is 573 meters.
The area of the circle = 1,031,209.46 m²
Explanation
The area of a circle = πr²
Here, r = 573
Therefore, the area of the circle = π × 573² = 3.14 × 573 × 573 = 1,031,209.46 m².
Problem 4
The area of the square is 328,329 cm². Find the perimeter of the square.
The perimeter of the square is 2,292 cm.
Explanation
The area of the square = a²
Here, the area is 328,329 cm²
The length of the side is √328,329 = 573
Perimeter of the square = 4a
Here, a = 573
Therefore, the perimeter = 4 × 573 = 2,292.
Problem 5
Find the square of 574.
The square of 574 is 329,476.
Explanation
The square of 574 is multiplying 574 by 574.
So, the square = 574 × 574 = 329,476.
FAQs on Square of 573
1.What is the square of 573?
2.What is the square root of 573?
3.Is 573 a prime number?
4.What are the first few multiples of 573?
5.What is the square of 570?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 573?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 573?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 573.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: An exponent refers to the number of times a number is multiplied by itself. For example, in 573², 2 is the exponent.
- 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 original number.
- Multiplication Method: A method used to find the square of a number by multiplying the number by itself.
- Prime Number: A number that is only divisible by 1 and itself, like 2, 3, 5, 7, etc.
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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.
