Square of 137
2026-02-28 11:26 Diff
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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 137.

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

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

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

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.

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.

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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?

Okay, lets begin

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.

Well explained 👍

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?

Okay, lets begin

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.

Well explained 👍

Problem 3

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

Okay, lets begin

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.

Well explained 👍

Problem 4

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

Okay, lets begin

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.

Well explained 👍

Problem 5

Find the square of 138.

Okay, lets begin

The square of 138 is 19,044.

Explanation

The square of 138 is multiplying 138 by 138.

So, the square = 138 × 138 = 19,044

Well explained 👍

FAQs on Square of 137

1.What is the square of 137?

The square of 137 is 18,769, as 137 × 137 = 18,769.

2.What is the square root of 137?

The square root of 137 is approximately ±11.70.

3.Is 137 a prime number?

Yes, 137 is a prime number; it is only divisible by 1 and 137.

4.What are the first few multiples of 137?

The first few multiples of 137 are 137, 274, 411, 548, 685, 822, 959, 1096, and so on.

5.What is the square of 136?

The square of 136 is 18,496.

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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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.