116 LearnersLast updated on June 2nd, 2025
Square of 329
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 329.
What is the Square of 329
The square of a number is the product of the number itself.
The square of 329 is 329 × 329.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 329², where 329 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 329 is 329 × 329 = 108241.
Square of 329 in exponential form: 329²
Square of 329 in arithmetic form: 329 × 329
How to Calculate the Value of Square of 329
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 329.
Step 1: Identify the number. Here, the number is 329.
Step 2: Multiplying the number by itself, we get, 329 × 329 = 108241.
The square of 329 is 108241.
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 329
So: 329² = 329 × 329 = 108241
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 329.
Step 1: Enter the number in the calculator. Enter 329 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 329 × 329.
Step 3: Press the equal to button to find the answer. Here, the square of 329 is 108241.
Tips and Tricks for the Square of 329
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 329
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 else by swapping the digits. To avoid it, 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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 329² with (3 + 2 + 9)² or (300 + 20 + 9)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and 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 error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 329
Problem 1
Find the length of the square, where the area of the square is 108241 cm².
The area of a square = a²
So, the area of a square = 108241 cm²
So, the length = √108241 = 329.
The length of each side = 329 cm
Explanation
The length of a square is 329 cm.
Because the area is 108241 cm² the length is √108241 = 329.
Problem 2
Anna is planning to paint her square garden wall of length 329 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 329 feet.
The cost to paint 1 square foot of wall = 5 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = a²
Here a = 329
Therefore, the area of the wall = 329² = 329 × 329 = 108241.
The cost to paint the wall = 108241 × 5 = 541205.
The total cost = 541205 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot.
So, the total cost is 541205 dollars.
Problem 3
Find the area of a circle whose radius is 329 meters.
The area of the circle = 340,144.66 m²
Explanation
The area of a circle = πr²
Here, r = 329
Therefore, the area of the circle = π × 329² = 3.14 × 329 × 329 = 340,144.66 m².
Problem 4
The area of the square is 108241 cm². Find the perimeter of the square.
The perimeter of the square is 1316 cm
Explanation
The area of the square = a²
Here, the area is 108241 cm²
The length of the side is √108241 = 329
Perimeter of the square = 4a
Here, a = 329
Therefore, the perimeter = 4 × 329 = 1316.
Problem 5
Find the square of 330.
The square of 330 is 108900
Explanation
The square of 330 is multiplying 330 by 330.
So, the square = 330 × 330 = 108900
FAQs on Square of 329
1.What is the square of 329?
2.What is the square root of 329?
3.Is 329 a prime number?
4.What are the first few multiples of 329?
5.What is the square of 328?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 329?
8.How do technology and digital tools in India support learning Algebra and Square of 329?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 329.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, etc.
- Prime number: A number that is only divisible by 1 and itself, such as 2, 3, 5, etc.
- Exponential form: Writing a number using a base and an exponent, such as 329².
- Square root: The inverse operation of squaring; finding a number whose square is the given number.
- Multiplication method: A straightforward method to find the square by multiplying the number by itself.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 329
About BrightChamps in India
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.
