138 LearnersLast updated on May 30th, 2025
Square of 121
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 121.
What is the Square of 121
The square of a number is the product of the number itself.
The square of 121 is 121 × 121.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 121², where 121 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 121 is 121 × 121 = 14641.
Square of 121 in exponential form: 121²
Square of 121 in arithmetic form: 121 × 121
How to Calculate the Value of Square of 121
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 (a2)
- 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 121:
Step 1: Identify the number. Here, the number is 121.
Step 2: Multiplying the number by itself, we get, 121 × 121 = 14641.
The square of 121 is 14641.
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 121.
So: 121² = 121 × 121 = 14641
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 121.
Step 1: Enter the number in the calculator. Enter 121 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 121 × 121.
Step 3: Press the equal to button to find the answer. Here, the square of 121 is 14641.
Tips and Tricks for the Square of 121
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 121
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 121² with (1 + 2 + 1)² or (100 + 20 + 1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 errors.
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 121
Problem 1
Find the length of the square, where the area of the square is 14641 cm².
The area of a square = a²
So, the area of a square = 14641 cm²
So, the length = √14641 = 121.
The length of each side = 121 cm
Explanation
The length of a square is 121 cm. Because the area is 14641 cm² the length is √14641 = 121.
Problem 2
Sarah is planning to tile her square floor of length 121 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the full floor?
The length of the floor = 121 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 = 121
Therefore, the area of the floor = 121² = 121 × 121 = 14641.
The cost to tile the floor = 14641 × 5 = 73205.
The total cost = 73205 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 73205 dollars.
Problem 3
Find the area of a circle whose radius is 121 meters.
The area of the circle = 45931.5 m²
Explanation
The area of a circle = πr²
Here, r = 121
Therefore, the area of the circle = π × 121² = 3.14 × 121 × 121 = 45931.5 m².
Problem 4
The area of the square is 14641 cm². Find the perimeter of the square.
The perimeter of the square is 484 cm.
Explanation
The area of the square = a²
Here, the area is 14641 cm²
The length of the side is √14641 = 121
Perimeter of the square = 4a
Here, a = 121
Therefore, the perimeter = 4 × 121 = 484.
Problem 5
Find the square of 122.
The square of 122 is 14884.
Explanation
The square of 122 is multiplying 122 by 122.
So, the square = 122 × 122 = 14884.
FAQs on Square of 121
1.What is the square of 121?
2.What is the square root of 121?
3.Is 121 a prime number?
4.What are the first few multiples of 121?
5.What is the square of 120?
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 121?
8.How do technology and digital tools in India support learning Algebra and Square of 121?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 121.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 121 is a perfect square because it is 11².
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 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.
- Odd number: An odd number is an integer not divisible by 2. For example, 1, 3, 5, 7, etc.
- Even number: An even number is an integer divisible by 2. For example, 2, 4, 6, 8, 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.
