120 LearnersLast updated on June 2nd, 2025
Square of 333
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 the topic, we will discuss the square of 333.
What is the Square of 333
The square of a number is the product of the number by itself.
The square of 333 is 333 × 333.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 333², where 333 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 333 is 333 × 333 = 110,889.
Square of 333 in exponential form: 333²
Square of 333 in arithmetic form: 333 × 333
How to Calculate the Value of Square of 333
The square of a number is found by 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 333.
Step 1: Identify the number. Here, the number is 333.
Step 2: Multiplying the number by itself, we get, 333 × 333 = 110,889.
The square of 333 is 110,889.
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 333
So: 333² = 333 × 333 = 110,889
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 333.
Step 1: Enter the number in the calculator. Enter 333 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 333 × 333.
Step 3: Press the equal to button to find the answer Here, the square of 333 is 110,889.
Tips and Tricks for the Square of 333
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 333
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 swap the digits. To avoid this, 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly use 333² with (3 + 3 + 3)² or (300 + 30 + 3)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 333
Problem 1
If a square garden has an area of 110,889 m², what is the length of one side of the garden?
The area of a square = a² So, the area of the garden = 110,889 m² Therefore, the length of one side = √110,889 = 333 m The length of each side = 333 m
Explanation
The length of the square garden is 333 m. Since the area is 110,889 m², the length is √110,889 = 333.
Problem 2
A billboard is in the shape of a square with a side length of 333 feet. The cost to cover it with a fabric that costs $2 per square foot needs to be calculated. What is the total cost?
The length of the billboard = 333 feet
The cost to cover 1 square foot of billboard = $2.
To find the total cost to cover the billboard, find the area of the billboard,
Area of the billboard = area of the square = a²
Here a = 333
Therefore, the area of the billboard = 333² = 333 × 333 = 110,889.
The cost to cover the billboard = 110,889 × 2 = 221,778.
The total cost = $221,778
Explanation
To find the cost to cover the billboard, multiply the area of the billboard by the cost to cover per square foot. So, the total cost is $221,778.
Problem 3
Find the area of a circle whose radius is 333 meters.
The area of the circle = 348,272.22 m²
Explanation
The area of a circle = πr²
Here, r = 333
Therefore, the area of the circle = π × 333² = 3.14 × 333 × 333 = 348,272.22 m².
Problem 4
The area of the square is 113,569 cm². Find the perimeter of the square.
The perimeter of the square is 1,334 cm
Explanation
The area of the square = a²
Here, the area is 113,569 cm²
The length of the side is √113,569 = 337
Perimeter of the square = 4a
Here, a = 337
Therefore, the perimeter = 4 × 337 = 1,348 cm.
Problem 5
Find the square of 334.
The square of 334 is 111,556.
Explanation
The square of 334 is multiplying 334 by 334.
So, the square = 334 × 334 = 111,556.
FAQs on Square of 333
1.What is the square of 333?
2.What is the square root of 333?
3.Is 333 a prime number?
4.What are the first few multiples of 333?
5.What is the square of 332?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 333?
8.How do technology and digital tools in United States support learning Algebra and Square of 333?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 333
- Perfect Square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7².
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.
- Exponent: A mathematical notation indicating the number of times a number (the base) is multiplied by itself. For example, in 333², 2 is the exponent.
- Area: The measure of the extent of a two-dimensional figure or shape in a plane.
- Square Root: The number that, when multiplied by itself, gives the original number. For example, the square root of 49 is 7.
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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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