103 LearnersLast updated on May 26th, 2025
Square of 652
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 652.
What is the Square of 652
The square of a number is the product of the number itself. The square of 652 is 652 × 652. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 652², where 652 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 652 is 652 × 652 = 425,104.
Square of 652 in exponential form: 652²
Square of 652 in arithmetic form: 652 × 652
How to Calculate the Value of Square of 652
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 652.
Step 1: Identify the number. Here, the number is 652.
Step 2: Multiplying the number by itself, we get, 652 × 652 = 425,104.
The square of 652 is 425,104.
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 652. So: 652² = 652 × 652 = 425,104
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 652.
Step 1: Enter the number in the calculator Enter 652 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 652 × 652
Step 3: Press the equals button to find the answer Here, the square of 652 is 425,104.
Tips and Tricks for the Square of 652
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 652
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.
Solved Examples on Square of 652
Problem 1
Find the length of the square, where the area of the square is 425,104 cm².
The area of a square = a²
So, the area of a square = 425,104 cm²
So, the length = √425,104 = 652.
The length of each side = 652 cm
Explanation
The length of a square is 652 cm.
Because the area is 425,104 cm² the length is √425,104 = 652.
Problem 2
Sarah wants to cover her square garden, which has a side length of 652 meters, with grass. The cost to cover a square meter is 5 dollars. How much will it cost to cover the entire garden?
The length of the garden = 652 meters
The cost to cover 1 square meter of the garden = 5 dollars.
To find the total cost, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 652
Therefore, the area of the garden = 652² = 652 × 652 = 425,104.
The cost to cover the garden = 425,104 × 5 = 2,125,520.
The total cost = 2,125,520 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per square meter. So, the total cost is 2,125,520 dollars.
Problem 3
Find the area of a circle whose radius is 652 meters.
The area of the circle = 1,336,259.76 m²
Explanation
The area of a circle = πr²
Here, r = 652
Therefore, the area of the circle = π × 652² = 3.14 × 652 × 652 = 1,336,259.76 m².
Problem 4
The area of the square is 430,336 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 430,336 cm²
The length of the side is √430,336 = 656
Perimeter of the square = 4a
Here, a = 656
Therefore, the perimeter = 4 × 656 = 2,624.
Problem 5
Find the square of 653.
The square of 653 is 426,409
Explanation
The square of 653 is multiplying 653 by 653.
So, the square = 653 × 653 = 426,409
FAQs on Square of 652
1.What is the square of 652?
2.What is the square root of 652?
3.Is 652 a prime number?
4.What are the first few multiples of 652?
5.What is the square of 650?
Important Glossaries for Square of 652.
- Perfect Square: A number that is the square of an integer. For example, 425,104 is a perfect square.
- Exponent: The power to which a number is raised. In 652², 2 is the exponent.
- Square Root: The inverse operation of squaring. The square root of a number gives a value which, when multiplied by itself, gives the original number.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself.
- Multiplication: The arithmetic operation of scaling one number by another.
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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.
