106 LearnersLast updated on May 26th, 2025
Square of 651
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 651.
What is the Square of 651
The square of a number is the product of the number itself. The square of 651 is 651 × 651. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 651², where 651 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 651 is 651 × 651 = 423,801.
Square of 651 in exponential form: 651²
Square of 651 in arithmetic form: 651 × 651
How to Calculate the Value of Square of 651
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 651.
Step 1: Identify the number. Here, the number is 651.
Step 2: Multiplying the number by itself, we get, 651 × 651 = 423,801.
The square of 651 is 423,801.
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 651. So: 651² = 651 × 651 = 423,801
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 651.
Step 1: Enter the number in the calculator Enter 651 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 651 × 651
Step 3: Press the equal to button to find the answer Here, the square of 651 is 423,801.
Tips and Tricks for the Square of 651
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 651
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 651
Problem 1
Find the length of the square, where the area of the square is 423,801 cm².
The area of a square = a²
So, the area of a square = 423,801 cm²
So, the length = √423,801 = 651.
The length of each side = 651 cm
Explanation
The length of a square is 651 cm. Because the area is 423,801 cm² the length is √423,801 = 651.
Problem 2
Sarah wants to tile her square room, which is 651 feet on each side. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire room?
The length of the room = 651 feet
The cost to tile 1 square foot of the room = 5 dollars.
To find the total cost to tile, we find the area of the room,
Area of the room = area of the square = a²
Here a = 651
Therefore, the area of the room = 651² = 651 × 651 = 423,801.
The cost to tile the room = 423,801 × 5 = 2,119,005.
The total cost = 2,119,005 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot. So, the total cost is 2,119,005 dollars.
Problem 3
Find the area of a circle whose radius is 651 meters.
The area of the circle = 1,331,601.86 m²
Explanation
The area of a circle = πr²
Here, r = 651
Therefore, the area of the circle = π × 651² = 3.14 × 651 × 651 = 1,331,601.86 m².
Problem 4
The area of the square is 423,801 cm². Find the perimeter of the square.
The perimeter of the square is 2,604 cm.
Explanation
The area of the square = a²
Here, the area is 423,801 cm²
The length of the side is √423,801 = 651
Perimeter of the square = 4a
Here, a = 651
Therefore, the perimeter = 4 × 651 = 2,604.
Problem 5
Find the square of 652.
The square of 652 is 425,104.
Explanation
The square of 652 is multiplying 652 by 652.
So, the square = 652 × 652 = 425,104.
FAQs on Square of 651
1.What is the square of 651?
2.What is the square root of 651?
3.Is 651 a prime number?
4.What are the first few multiples of 651?
5.What is the square of 650?
Important Glossaries for Square 651
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
- Exponential form: A way of writing numbers using a base and an exponent, such as 9² where 9 is the base and 2 is the exponent.
- Square root: The number which when multiplied by itself gives the original number, e.g., √144 = 12.
- Perfect square: A number that is the square of an integer, such as 36 (6²).
- Perimeter: The total length of the sides or edges of a polygon, such as a square or rectangle.
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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.
