Square of 37
2026-02-28 15:53 Diff
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Last updated on August 29, 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 37.

What is the Square of 37

The square of a number is the product of the number itself. The square of 37 is 37 × 37. The square of a number always ends in 0, 4, 5, 6, or 9. We write it in math as 372, where 37 is the base and 2 is the exponent. The square of a positive and negative number is always positive. For example, 52 = 25; -52 = 25.

The square of 37 is 37 × 37 = 1369. 


Square of 37 in exponential form: 372


Square of 37 in arithmetic form: 37 × 37
 

How to Calculate the Value of Square of 37

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.

  1. By Multiplication Method
  2. Using a Formula (a2)
  3. Using a Calculator
     

By 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 37

Step 1: Identify the number.

Here the number is 37

Step 2: multiplying the number by itself, we get,

37 × 37 = 1369.

The square of 37 is 1369.
 

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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 37

So: 372 = 37 × 37 = 1369
 

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 37.

Step 1: Enter the number in the calculator

Enter 37 in the calculator.

Step 2: multiplying the number with itself using the multiplication button(×)
That is 37 × 37

Step 3: Press the equal to button to find the answer

Here, the square of 37 is 1369.
 

Tips and Tricks for the Square of 37

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.
  • 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 37

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

Find the length of the square, where the area of the square is 1369 cm².

Okay, lets begin

The area of a square = a2
So, the area of a square = 1369 cm2
So, the length = √1369 = 37. 
The length of each side = 37 cm
 

Explanation

The length of a square is 37 cm. Because the area is 1369 cm2 the length is √1369 = 37.
 

Well explained 👍

Problem 2

Tom is planning to paint his square wall of length 37 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?

Okay, lets begin

The length of the wall = 37 feet


The cost to paint the 1 square foot of wall = is 3 dollars.


To find the total cost to paint we find the area of the wall,


Area of the wall = area of the square = a2


Here a = 37


Therefore, the area of the wall = 372 = 37 × 37 = 1369.

The cost to paint the wall = 1369 × 3 = 4107.


The total cost = 4107 dollar
 

Explanation

To find the cost to paint the wall we multiply the area of the wall by cost to paint per foot. So, the total cost is 4107 dollars. 
 

Well explained 👍

Problem 3

Find the area of a circle whose radius is 37 meters.

Okay, lets begin

The area of the circle = 4,298.66 m2
 

Explanation

 The area of a circle = πr2 


Here, r = 37


Therefore, the area of the circle = π × 372


= 3.14 × 37 × 37 = 4298.66 m2.

Well explained 👍

Problem 4

The area of the square is 1396 cm2. Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 148

Explanation

 The area of the square = a2


Here, the area is 1396 cm2


The length of the side is √1396 = 37

Perimeter of the square = 4a 


Here, a = 37


Therefore, the perimeter = 4 × 37 = 148.
 

Well explained 👍

Problem 5

Find the square of 38.

Okay, lets begin

The square of 38 is 1444

Explanation

The square of 38 is multiplying 38 with 38.


So, the square = 38 × 38 = 1444
 

Well explained 👍

FAQs on Square of 37

1.What is the square of 37?

The square of 37 is 1369, as 37 × 37 = 1369.

2.What is the square root of 37?

The square root of 37 is ±6.08.
 

3.Is 37 a prime number?

Yes, 37 is a prime number; it is only divisible by 1 and 37.
 

4.What are the first few multiples of 37?

The first few multiples of 37 are 37, 74, 111, 148, 185, 222, 259, 296, and so on. 
 

5.What is the square of 36?

The square of 36 is 1296.
 

Important Glossaries for Square 37

  • Prime number: Any number which is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 9, … 
  • Exponential form: Exponential form is the way of writing the number in the form of power. For example, 92 where 9 is the base and 2 is the power.
  • Square root: Square root is the inverse operation of square. The square root of a number is a number whose square is the number itself.
     

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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.