117 LearnersLast updated on May 26th, 2025
Square of 1172
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 1172.
What is the Square of 1172
The square of a number is the product of the number itself. The square of 1172 is 1172 × 1172. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1172², where 1172 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 1172 is 1172 × 1172 = 1,373,584.
Square of 1172 in exponential form: 1172²
Square of 1172 in arithmetic form: 1172 × 1172
How to Calculate the Value of Square of 1172
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 1172.
Step 1: Identify the number. Here, the number is 1172.
Step 2: Multiplying the number by itself, we get, 1172 × 1172 = 1,373,584.
The square of 1172 is 1,373,584.
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 1172. So: 1172² = 1172 × 1172 = 1,373,584
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 1172.
Step 1: Enter the number in the calculator Enter 1172 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1172 × 1172
Step 3: Press the equal to button to find the answer Here, the square of 1172 is 1,373,584.
Tips and Tricks for the Square of 1172
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 1172
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.
Solved Examples on Square of 1172
Problem 1
Find the length of the square, where the area of the square is 1,373,584 cm².
The area of a square = a²
So, the area of a square = 1,373,584 cm²
So, the length = √1,373,584 = 1172.
The length of each side = 1172 cm
Explanation
The length of a square is 1172 cm.
Because the area is 1,373,584 cm², the length is √1,373,584 = 1172.
Problem 2
A farmer wants to fence a square plot of land with a side length of 1172 meters. If the cost to fence per meter is 5 dollars, how much will it cost to fence the entire plot?
The length of the plot = 1172 meters
The cost to fence 1 meter = 5 dollars.
To find the total cost to fence, we find the perimeter of the plot, Perimeter of the plot = 4a
Here a = 1172
Therefore, the perimeter = 4 × 1172 = 4688 meters.
The cost to fence the plot = 4688 × 5 = 23,440.
The total cost = 23,440 dollars
Explanation
To find the cost to fence the plot, we multiply the perimeter of the plot by cost to fence per meter. So, the total cost is 23,440 dollars.
Problem 3
Find the area of a rectangle whose sides are 1172 meters and 500 meters.
The area of the rectangle = 586,000 m²
Explanation
The area of a rectangle = length × width
Here, length = 1172 and width = 500
Therefore, the area of the rectangle = 1172 × 500 = 586,000 m².
Problem 4
The area of a square is 1,373,584 cm². Find the perimeter of the square.
The perimeter of the square is 4,688 cm
Explanation
The area of the square = a²
Here, the area is 1,373,584 cm²
The length of the side is √1,373,584 = 1172
Perimeter of the square = 4a
Here, a = 1172
Therefore, the perimeter = 4 × 1172 = 4,688 cm.
Problem 5
Find the square of 38.
The square of 38 is 1,444
Explanation
The square of 38 is multiplying 38 by 38.
So, the square = 38 × 38 = 1,444
FAQs on Square of 1172
1.What is the square of 1172?
2.What is the square root of 1172?
3.Is 1172 a prime number?
4.What are the first few multiples of 1172?
5.What is the square of 36?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 1172?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 1172?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 1172
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: A number that indicates how many times the base is used as a factor. For example, in 1172², 2 is the exponent.
- Even number: A number that is divisible by 2 without a remainder. For example, 1172 is an even number.
- Perimeter: The total distance around the edge of a two-dimensional shape.
- Inverse operation: An operation that reverses the effect of another operation. For example, squaring and taking the square root are inverse operations.
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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.
