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Last updated on May 14th, 2025

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Square of 636

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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 636.

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What is the Square of 636

The square of a number is the product of the number itself. The square of 636 is 636 × 636. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 636², where 636 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 636 is 636 × 636 = 404,496.

 

Square of 636 in exponential form: 636²

 

Square of 636 in arithmetic form: 636 × 636

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How to Calculate the Value of Square of 636

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 636.

 

Step 1: Identify the number. Here, the number is 636.

 

Step 2: Multiplying the number by itself, we get, 636 × 636 = 404,496.

 

The square of 636 is 404,496.

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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 636. So: 636² = 636 × 636 = 404,496

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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 636.

 

Step 1: Enter the number in the calculator. Enter 636 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 636 × 636.

 

Step 3: Press the equal to button to find the answer. Here, the square of 636 is 404,496.

 

Tips and Tricks for the Square of 636

 

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 636

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Solved Examples on Square of 636

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Problem 1

Find the length of the square, where the area of the square is 404,496 cm².

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Explanation

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Problem 2

Emma wants to tile her square floor with tiles of length 636 feet. If each tile costs 5 dollars, how much will it cost to tile the entire floor?

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Explanation

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Problem 3

Find the area of a circle whose radius is 636 meters.

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Explanation

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Problem 4

The area of the square is 404,496 cm². Find the perimeter of the square.

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Explanation

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Problem 5

Find the square of 637.

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Explanation

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FAQs on Square of 636

1.What is the square of 636?

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2.What is the square root of 636?

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3.Is 636 a prime number?

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4.What are the first few multiples of 636?

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5.What is the square of 635?

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Important Glossaries for Square 636

  • Perfect square: A number that is the square of an integer. For example, 404,496 is a perfect square because it is 636 squared.

 

  • Exponent: A number that indicates how many times the base is multiplied by itself, such as the 2 in 636².

 

  • Square: The result of multiplying a number by itself.

 

  • Area: The measure of the extent of a two-dimensional surface within a boundary.

 

  • Perimeter: The continuous line forming the boundary of a closed geometric figure, such as a square.
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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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