108 LearnersLast updated on May 26th, 2025
Square of 658
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 the topic, we will discuss the square of 658.
What is the Square of 658
The square of a number is the product of the number with itself. The square of 658 is 658 × 658. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 658², where 658 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 658 is 658 × 658 = 433,264.
Square of 658 in exponential form: 658²
Square of 658 in arithmetic form: 658 × 658
How to Calculate the Value of Square of 658
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 658.
Step 1: Identify the number. Here, the number is 658
Step 2: Multiplying the number by itself, we get, 658 × 658 = 433,264.
The square of 658 is 433,264.
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 658 So: 658² = 658 × 658 = 433,264
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 658.
Step 1: Enter the number in the calculator Enter 658 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 658 × 658
Step 3: Press the equal to button to find the answer Here, the square of 658 is 433,264.
Tips and Tricks for the Square of 658
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 658
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.
Solved Examples on Square of 658
Problem 1
A garden is in the shape of a square with an area of 433,264 m². Find the length of one side of the garden.
The area of a square = a²
So, the area of the square = 433,264 m²
So, the length = √433,264 = 658.
The length of each side = 658 m
Explanation
The length of the square garden is 658 m.
Because the area is 433,264 m², the length is √433,264 = 658.
Problem 2
A flooring company charges $10 per square meter to install flooring. How much will it cost to floor a square room with a side length of 658 meters?
The length of the room = 658 meters
The cost to install flooring per square meter = $10.
To find the total cost, we find the area of the room,
Area of the room = area of the square = a²
Here a = 658 Therefore, the area of the room = 658² = 658 × 658 = 433,264.
The cost to floor the room = 433,264 × 10 = 4,332,640.
The total cost = $4,332,640
Explanation
To find the cost to floor the room, we multiply the area of the room by the cost to install flooring per square meter. So, the total cost is $4,332,640.
Problem 3
Find the area of a circle whose radius is 658 meters.
The area of the circle = 1,360,608.32 m²
Explanation
The area of a circle = πr²
Here, r = 658
Therefore, the area of the circle = π × 658² = 3.14 × 658 × 658 = 1,360,608.32 m².
Problem 4
If the area of a square is 433,264 cm², find its perimeter.
The perimeter of the square is 2,632 cm.
Explanation
The area of the square = a²
Here, the area is 433,264 cm²
The length of the side is √433,264 = 658
Perimeter of the square = 4a
Here, a = 658
Therefore, the perimeter = 4 × 658 = 2,632.
Problem 5
Find the square of 659.
The square of 659 is 434,281
Explanation
The square of 659 is multiplying 659 by 659. So, the square = 659 × 659 = 434,281
FAQs on Square of 658
1.What is the square of 658?
2.What is the square root of 658?
3.Is 658 a prime number?
4.What are the first few multiples of 658?
5.What is the square of 657?
Important Glossaries for Square 658.
- Square: The result of multiplying a number by itself.
- Exponential form: A way of writing numbers using bases and exponents. For example, 658², where 658 is the base and 2 is the exponent.
- Square root: The number which produces a specified quantity when multiplied by itself.
- Perfect square: A number that is the square of an integer.
- Even number: An integer that is divisible by 2 without a remainder.
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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.
