Square of 108
2026-02-28 01:00 Diff
https://brightchamps.com/en-us/math/algebra/square-of-108

284 Learners

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 the topic, we will discuss the square of 108.

What is the Square of 108

The square of a number is the product of the number itself. The square of 108 is 108 × 108. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 108², where 108 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 108 is 108 × 108 = 11664. Square of 108 in exponential form: 108² Square of 108 in arithmetic form: 108 × 108

How to Calculate the Value of Square of 108

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 108 Step 1: Identify the number. Here, the number is 108 Step 2: Multiplying the number by itself, we get, 108 × 108 = 11664. The square of 108 is 11664.

Explore Our Programs

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 108 So: 108² = 108 × 108 = 11664

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 108. Step 1: Enter the number in the calculator Enter 108 in the calculator. Step 2: Multiply the number by itself using the multiplication button(×) That is 108 × 108 Step 3: Press the equal to button to find the answer Here, the square of 108 is 11664. Tips and Tricks for the Square of 108 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 108

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.

Download Worksheets

Problem 1

Find the length of the square, where the area of the square is 11664 cm².

Okay, lets begin

The area of a square = a² So, the area of a square = 11664 cm² So, the length = √11664 = 108. The length of each side = 108 cm

Explanation

The length of a square is 108 cm. Because the area is 11664 cm² the length is √11664 = 108.

Well explained 👍

Problem 2

Anna wants to tile her square patio of length 108 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full patio?

Okay, lets begin

The length of the patio = 108 feet The cost to tile 1 square foot of patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 108 Therefore, the area of the patio = 108² = 108 × 108 = 11664. The cost to tile the patio = 11664 × 5 = 58320. The total cost = 58320 dollars

Explanation

To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 58320 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 108 meters.

Okay, lets begin

The area of the circle = 36605.76 m²

Explanation

The area of a circle = πr² Here, r = 108 Therefore, the area of the circle = π × 108² = 3.14 × 108 × 108 = 36605.76 m².

Well explained 👍

Problem 4

The area of the square is 11664 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 432 cm.

Explanation

The area of the square = a² Here, the area is 11664 cm² The length of the side is √11664 = 108 Perimeter of the square = 4a Here, a = 108 Therefore, the perimeter = 4 × 108 = 432.

Well explained 👍

Problem 5

Find the square of 109.

Okay, lets begin

The square of 109 is 11881

Explanation

The square of 109 is multiplying 109 by 109. So, the square = 109 × 109 = 11881

Well explained 👍

FAQs on Square of 108

1.What is the square of 108?

The square of 108 is 11664, as 108 × 108 = 11664.

2.What is the square root of 108?

The square root of 108 is approximately ±10.39.

3.Is 108 a prime number?

No, 108 is not a prime number; it is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

4.What are the first few multiples of 108?

The first few multiples of 108 are 108, 216, 324, 432, 540, 648, 756, 864, and so on.

5.What is the square of 107?

The square of 107 is 11449.

Important Glossaries for Square of 108.

Perfect square: A number that is the square of an integer. For example, 11664 is a perfect square because it is 108². Even number: An integer that is divisible by 2. For example, 108 is an even number. Prime number: A number greater than 1 with no positive divisors other than 1 and itself. For example, 37 is a prime number. Exponential form: A way of expressing numbers as a base raised to a power. For example, 108² is in exponential form. Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 11664 is 108.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

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.