124 LearnersLast updated on May 26th, 2025
Square of 1167
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 1167.
What is the Square of 1167
The square of a number is the product of the number itself. The square of 1167 is 1167 × 1167. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1167², where 1167 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 1167 is 1167 × 1167 = 1,362,489.
Square of 1167 in exponential form: 1167²
Square of 1167 in arithmetic form: 1167 × 1167
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
How to Calculate the Value of Square of 1167
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 1167
Step 1: Identify the number. Here, the number is 1167
Step 2: Multiplying the number by itself, we get, 1167 × 1167 = 1,362,489.
The square of 1167 is 1,362,489.
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 1167 So: 1167² = 1167 × 1167 = 1,362,489
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 1167.
Step 1: Enter the number in the calculator Enter 1167 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1167 × 1167
Step 3: Press the equal to button to find the answer Here, the square of 1167 is 1,362,489.
Tips and Tricks for the Square of 1167
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 1167
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 1167² with (116 + 7)² or (1100 + 67)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.
Level Up with a Math Certification!
2X Faster Learning (Grades 1-12)
Solved Examples on Square of 1167
Problem 1
Find the length of the square, where the area of the square is 1,362,489 cm².
The area of a square = a²
So, the area of a square = 1,362,489 cm²
So, the length = √1,362,489 = 1167.
The length of each side = 1167 cm
Explanation
The length of a square is 1167 cm. Because the area is 1,362,489 cm² the length is √1,362,489 = 1167.
Problem 2
Sarah is planning to decorate her square garden of length 1167 feet. The cost to decorate a square foot is 5 dollars. Then how much will it cost to decorate the full garden?
The length of the garden = 1167 feet
The cost to decorate 1 square foot of garden = 5 dollars.
To find the total cost to decorate, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1167
Therefore, the area of the garden = 1167² = 1167 × 1167 = 1,362,489.
The cost to decorate the garden = 1,362,489 × 5 = 6,812,445.
The total cost = 6,812,445 dollars
Explanation
To find the cost to decorate the garden, we multiply the area of the garden by cost to decorate per foot. So, the total cost is 6,812,445 dollars.
Problem 3
Find the area of a circle whose radius is 1167 meters.
The area of the circle = 4,279,129.14 m²
Explanation
The area of a circle = πr²
Here, r = 1167
Therefore, the area of the circle = π × 1167² = 3.14 × 1167 × 1167 = 4,279,129.14 m².
Problem 4
The area of the square is 1,362,489 cm². Find the perimeter of the square.
The perimeter of the square is 4,668 cm
Explanation
The area of the square = a²
Here, the area is 1,362,489 cm²
The length of the side is √1,362,489 = 1167
Perimeter of the square = 4a
Here, a = 1167
Therefore, the perimeter = 4 × 1167 = 4,668 cm.
Problem 5
Find the square of 1168.
The square of 1168 is 1,365,824
Explanation
The square of 1168 is multiplying 1168 by 1168.
So, the square = 1168 × 1168 = 1,365,824
Turn your child into a math star!
#1 Math Hack Schools Won't Teach!
FAQs on Square of 1167
1.What is the square of 1167?
2.What is the square root of 1167?
3.Is 1167 a prime number?
4.What are the first few multiples of 1167?
5.What is the square of 1166?
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Important Glossaries for Square 1167.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, ...
- Exponent: The power to which a number is raised. For example, in 1167², 2 is the exponent.
- Base: The number that is being raised to a power in an expression. For example, in 1167², 1167 is the base.
- Multiplication: The arithmetic operation of scaling one number by another.
- Square root: The inverse operation of squaring a number. For example, the square root of 1,362,489 is 1167.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 1167
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.
