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Last updated on May 26th, 2025

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Square of 137

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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 137.

Square of 137 for US Students
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What is the Square of 137

The square of a number is the product of the number itself. The square of 137 is 137 × 137. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 137², where 137 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 137 is 137 × 137 = 18,769. Square of 137 in exponential form: 137² Square of 137 in arithmetic form: 137 × 137

square of 137

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How to Calculate the Value of Square of 137

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
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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 137.

 

Step 1: Identify the number. Here, the number is 137.

 

Step 2: Multiplying the number by itself, we get, 137 × 137 = 18,769. The square of 137 is 18,769.

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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 137. So: 137² = 137 × 137 = 18,769

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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 137.

 

Step 1: Enter the number in the calculator. Enter 137 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 137 × 137.

 

Step 3: Press the equal to button to find the answer. Here, the square of 137 is 18,769.

 

Tips and Tricks for the Square of 137 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.

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Common Mistakes to Avoid When Calculating the Square of 137

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

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Calculation errors:

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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.

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Solved Examples on Square of 137

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Problem 1

A square garden has an area of 18,769 square meters. What is the length of one side of the garden?

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The area of a square = a² So, the area of the square = 18,769 m² So, the length = √18,769 = 137. The length of each side = 137 m

Explanation

The length of the square garden is 137 meters because the area is 18,769 m², and the length is √18,769 = 137.

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Problem 2

A square billboard has a side length of 137 feet. If the cost to paint a square foot is 4 dollars, what is the total cost to paint the billboard?

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The length of the billboard = 137 feet The cost to paint 1 square foot = 4 dollars. To find the total cost, calculate the area of the billboard, Area = a² Here a = 137 Therefore, the area = 137² = 137 × 137 = 18,769. The cost to paint the billboard = 18,769 × 4 = 75,076. The total cost = 75,076 dollars

Explanation

To find the cost to paint the billboard, multiply the area of the billboard by the cost to paint per foot.

 

So, the total cost is 75,076 dollars.

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Problem 3

Find the area of a circular park with a radius of 137 meters.

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The area of the circle = 59,046.57 m²

Explanation

The area of a circle = πr² Here, r = 137

 

Therefore, the area of the circle = π × 137²

 

= 3.14 × 137 × 137

 

= 59,046.57 m².

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Problem 4

The area of a square is 18,976 cm². Find the perimeter of the square.

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The perimeter of the square is 548 cm.

Explanation

The area of the square = a²

 

Here, the area is 18,976 cm²

 

The length of the side is √18,976 = 138

 

Perimeter of the square = 4a

 

Here, a = 138

 

Therefore, the perimeter = 4 × 138 = 552 cm.

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Problem 5

Find the square of 138.

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The square of 138 is 19,044.

Explanation

The square of 138 is multiplying 138 by 138.

 

So, the square = 138 × 138 = 19,044

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FAQs on Square of 137

1.What is the square of 137?

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2.What is the square root of 137?

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3.Is 137 a prime number?

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4.What are the first few multiples of 137?

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5.What is the square of 136?

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6.How does learning Algebra help students in United States make better decisions in daily life?

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7.How can cultural or local activities in United States support learning Algebra topics such as Square of 137?

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8.How do technology and digital tools in United States support learning Algebra and Square of 137?

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9.Does learning Algebra support future career opportunities for students in United States?

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Important Glossaries for Square 137.

  • Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 137, …
     
  • Exponential form: Writing a number in the form of a power, such as 137² where 137 is the base and 2 is the power.
     
  • Square root: The inverse operation of squaring, where the square root of a number is a value that, when multiplied by itself, gives the original number.
     
  • Perfect square: A number that is the square of an integer. For example, 16, 25, 36, …
     
  • Odd number: A number that is not divisible by 2. For example, 1, 3, 5, 7, 137, …
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About BrightChamps in United States

At BrightChamps, we understand that algebra is more than just symbols—it's a gateway to endless possibilities! Our goal is to help children all over the United States master key math concepts, such as today’s lesson on the Square of 137 with a special emphasis on grasping squares—in an engaging, fun, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score at a Little League baseball game, or budgeting their allowance for the newest gadgets, having a solid grasp of algebra builds the confidence they need for daily life. Our hands-on lessons are designed to make learning both simple and enjoyable. Since children across the USA learn in diverse ways, we customize our methods to suit each individual learner. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting nationwide. Let’s make squares an exciting part of every child’s math adventure!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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