Square of 33
2026-02-28 23:21 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. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 33.

What is the Square of 33

The square of a number is the product of the number by itself. The square of 33 is 33 × 33. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as \(33^2\), where 33 is the base and 2 is the exponent. The square of a positive and a negative number is always positive.

For example, (52 = 25); ((-5)2 = 25).

The square of 33 is 33 × 33 = 1089.

Square of 33 in exponential form: (332)

Square of 33 in arithmetic form: 33 × 33

How to Calculate the Value of Square of 33

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 33.

Step 1: Identify the number. Here, the number is 33.

Step 2: Multiplying the number by itself, we get, 33 × 33 = 1089.

The square of 33 is 1089.

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Using a Formula (\(a^2\))

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 33

So: (332 = 33 × 33 = 1089\)

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 33.

Step 1: Enter the number in the calculator Enter 33 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 33 × 33

Step 3: Press the equal to button to find the answer

Here, the square of 33 is 1089.

Tips and Tricks for the Square of 33

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, (sqrt{1.44} = 1.2) 
     
  • The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).

Common Mistakes to Avoid When Calculating the Square of 33

Mistakes are common among kids when doing math, especially when it comes to 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 side length of the square, where the area of the square is 1089 cm².

Okay, lets begin

The area of a square = (a2)

So, the area of a square = 1089 cm²

So, the length = (sqrt{1089} = 33).

The length of each side = 33 cm

Explanation

The length of a square is 33 cm. Because the area is 1089 cm², the length is (sqrt{1089} = 33).

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Problem 2

Anna is planning to put a new carpet on her square floor with a side length of 33 feet. The cost to carpet a square foot is 5 dollars. Then how much will it cost to carpet the entire floor?

Okay, lets begin

The length of the floor = 33 feet

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

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

Area of the floor = area of the square = (a2)

Here (a = 33)

Therefore, the area of the floor = (332 = 33 × 33 = 1089).

The cost to carpet the floor = 1089 × 5 = 5445.

The total cost = 5445 dollars

Explanation

To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot. So, the total cost is 5445 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 33 meters.

Okay, lets begin

The area of the circle = 3,421.86 m²

Explanation

The area of a circle = (pi r2)

Here,(r = 33)

Therefore, the area of the circle = (pi × 332)

= 3.14 × 33 × 33

= 3421.86 m².

Well explained 👍

Problem 4

The perimeter of a square is 132 cm. Find the area of the square.

Okay, lets begin

The area of the square is 1089 cm².

Explanation

The perimeter of the square = 4a

Here, the perimeter is 132 cm

The length of the side is (132 ÷ 4 = 33)

Area of the square = (a2)

Here, (a = 33)

Therefore, the area = (33 × 33 = 1089) cm².

Well explained 👍

Problem 5

Find the square of 34.

Okay, lets begin

The square of 34 is 1156.

Explanation

The square of 34 is multiplying 34 by 34.

So, the square = 34 × 34 = 1156.

Well explained 👍

FAQs on Square of 33

1.What is the square of 33?

The square of 33 is 1089, as 33 × 33 = 1089.

2.What is the square root of 33?

The square root of 33 is approximately ±5.74.

3.Is 33 a prime number?

No, 33 is not a prime number; it is divisible by 1, 3, 11, and 33.

4.What are the first few multiples of 33?

The first few multiples of 33 are 33, 66, 99, 132, 165, 198, 231, 264, and so on.

5.What is the square of 32?

The square of 32 is 1024.

Important Glossaries for Square 33.

  • Perfect square: A number that is the square of an integer. For example, 1089 is a perfect square because it is 332.
  • Exponent: The number that indicates how many times the base is multiplied by itself. In (332), 2 is the exponent.
  • Base: The number that is multiplied by itself as indicated by the exponent. In (332), 33 is the base.
  • Multiplication: The arithmetic operation of combining groups of equal sizes; it is repeated addition. 
  • Integer: A whole number that can be positive, negative, or zero, but not a fraction.

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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.