136 LearnersLast updated on May 26th, 2025
Square of 631
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 631.
What is the Square of 631
The square of a number is the product of the number itself. The square of 631 is 631 × 631. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 631², where 631 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 631 is 631 × 631 = 398,161.
Square of 631 in exponential form: 631²
Square of 631 in arithmetic form: 631 × 631
How to Calculate the Value of Square of 631
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 631.
Step 1: Identify the number. Here, the number is 631.
Step 2: Multiplying the number by itself, we get, 631 × 631 = 398,161.
The square of 631 is 398,161.
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 631. So: 631² = 631 × 631 = 398,161
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 631.
Step 1: Enter the number in the calculator Enter 631 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 631 × 631
Step 3: Press the equal to button to find the answer Here, the square of 631 is 398,161.
Tips and Tricks for the Square of 631
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 631
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 631
Problem 1
Find the length of the square, where the area of the square is 398,161 cm².
The area of a square = a²
So, the area of a square = 398,161 cm²
So, the length = √398,161 = 631.
The length of each side = 631 cm
Explanation
The length of a square is 631 cm. Because the area is 398,161 cm² the length is √398,161 = 631.
Problem 2
Alice wants to carpet her square-shaped room with a length of 631 feet. The cost to carpet each foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 631 feet
The cost to carpet 1 square foot of the room = 5 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 631
Therefore, the area of the room = 631² = 631 × 631 = 398,161.
The cost to carpet the room = 398,161 × 5 = 1,990,805.
The total cost = 1,990,805 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 1,990,805 dollars.
Problem 3
Find the area of a circle whose radius is 631 meters.
The area of the circle = 1,250,362.74 m²
Explanation
The area of a circle = πr²
Here, r = 631
Therefore, the area of the circle = π × 631² = 3.14 × 631 × 631 = 1,250,362.74 m².
Problem 4
The area of the square is 398,161 cm². Find the perimeter of the square.
The perimeter of the square is 2,524 cm.
Explanation
The area of the square = a²
Here, the area is 398,161 cm²
The length of the side is √398,161 = 631
Perimeter of the square = 4a
Here, a = 631
Therefore, the perimeter = 4 × 631 = 2,524.
Problem 5
Find the square of 632.
The square of 632 is 399,424.
Explanation
The square of 632 is multiplying 632 by 632.
So, the square = 632 × 632 = 399,424.
FAQs on Square of 631
1.What is the square of 631?
2.What is the square root of 631?
3.Is 631 a prime number?
4.What are the first few multiples of 631?
5.What is the square of 630?
Important Glossaries for Square 631.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11. 2.
- Exponential form: A mathematical expression that represents repeated multiplication of a base number. For example, 9² where 9 is the base and 2 is the exponent. 3.
- Square root: The square root is the inverse operation of squaring a number. The square root of a number is the value that, when multiplied by itself, gives the original number. 4.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25. 5.
- Multiplication method: A method used to find the square of a number by multiplying it by itself.
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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.
