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Last updated on May 14th, 2025

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Square of 631

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Foundation
Intermediate
Advance Topics

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.

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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

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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.

 

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator
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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.

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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

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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.

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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.
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Common Mistakes to Avoid When Calculating the Square of 631

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Solved Examples on Square of 631

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Problem 1

Find the length of the square, where the area of the square is 398,161 cm².

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Explanation

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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?

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Explanation

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Problem 3

Find the area of a circle whose radius is 631 meters.

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Explanation

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Problem 4

The area of the square is 398,161 cm². Find the perimeter of the square.

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Explanation

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Problem 5

Find the square of 632.

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Explanation

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FAQs on Square of 631

1.What is the square of 631?

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2.What is the square root of 631?

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3.Is 631 a prime number?

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4.What are the first few multiples of 631?

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5.What is the square of 630?

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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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