Square of 27
2026-02-28 13:16 Diff
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Last updated on August 5, 2025

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 27.

What is the Square of 27

The square of a number is the product of the number itself. The square of 27 is 27 × 27. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 27², where 27 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 27 is 27 × 27 = 729.

Square of 27 in exponential form: 27²

Square of 27 in arithmetic form: 27 × 27

How to Calculate the Value of Square of 27

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 27

Step 1: Identify the number. Here, the number is 27

Step 2: Multiplying the number by itself, we get, 27 × 27 = 729.

The square of 27 is 729.

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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 27

So: 27² = 27 × 27 = 729

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 27.

Step 1: Enter the number in the calculator Enter 27 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 27 × 27

Step 3: Press the equal to button to find the answer Here, the square of 27 is 729.

Tips and Tricks for the Square of 27

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 27

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.

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Problem 1

Find the length of the square, where the area of the square is 729 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 729 cm²

So, the length = √729 = 27.

The length of each side = 27 cm

Explanation

The length of a square is 27 cm.

Because the area is 729 cm², the length is √729 = 27.

Well explained 👍

Problem 2

Sara is planning to tile her square kitchen floor of length 27 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

Okay, lets begin

The length of the floor = 27 feet

The cost to tile 1 square foot of floor = 5 dollars.

To find the total cost to tile, we find the area of the floor,

Area of the floor = area of the square = a²

Here a = 27

Therefore, the area of the floor = 27² = 27 × 27 = 729.

The cost to tile the floor = 729 × 5 = 3645.

The total cost = 3645 dollars

Explanation

To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 3645 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 27 meters.

Okay, lets begin

The area of the circle = 2,290.22 m²

Explanation

The area of a circle = πr²

Here, r = 27

Therefore, the area of the circle = π × 27²

= 3.14 × 27 × 27

= 2290.22 m².

Well explained 👍

Problem 4

The area of the square is 784 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square = 112 cm

Explanation

The area of the square = a²

Here, the area is 784 cm²

The length of the side is √784 = 28

Perimeter of the square = 4a

Here, a = 28

Therefore, the perimeter = 4 × 28 = 112.

Well explained 👍

Problem 5

Find the square of 28.

Okay, lets begin

The square of 28 is 784

Explanation

The square of 28 is multiplying 28 by 28.

So, the square = 28 × 28 = 784

Well explained 👍

FAQs on Square of 27

1.What is the square of 27?

The square of 27 is 729, as 27 × 27 = 729.

2.What is the square root of 27?

The square root of 27 is approximately ±5.2.

3.Is 27 a prime number?

No, 27 is not a prime number; it is divisible by 1, 3, 9, and 27.

4.What are the first few multiples of 27?

The first few multiples of 27 are 27, 54, 81, 108, 135, 162, 189, 216, and so on.

5.What is the square of 26?

Important Glossaries for Square 27.

  • Perfect square: A number that is the square of an integer. For example, 729 is a perfect square because it is 27².
  • Multiplication method: A method to find the square of a number by multiplying it by itself.
  • Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 27² where 27 is the base and 2 is the power.
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
  • Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, etc.

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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.