Square of 73
2026-02-28 13:27 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 73.

What is the Square of 73

The square of a number is the product of the number by itself.

The square of 73 is 73 × 73.

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

We write it in math as 73², where 73 is the base and 2 is the exponent.

The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.

The square of 73 is 73 × 73 = 5329.

Square of 73 in exponential form: 73²

Square of 73 in arithmetic form: 73 × 73

How to Calculate the Value of Square of 73

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 (a2)
     
  • 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 73.

Step 1: Identify the number. Here, the number is 73.

Step 2: Multiplying the number by itself, we get, 73 × 73 = 5329.

The square of 73 is 5329.

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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 73.

So: 73² = 73 × 73 = 5329

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 73.

Step 1: Enter the number in the calculator. Enter 73 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×). That is 73 × 73

Step 3: Press the equal to button to find the answer. Here, the square of 73 is 5329.

Tips and Tricks for the Square of 73

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 73

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 5329 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 5329 cm²

So, the length = √5329 = 73.

The length of each side = 73 cm

Explanation

The length of a square is 73 cm.

Because the area is 5329 cm² the length is √5329 = 73.

Well explained 👍

Problem 2

Sarah is planning to tile her square floor of length 73 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

Okay, lets begin

The length of the floor = 73 feet

The cost to tile 1 square foot of floor = 5 dollars.

To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a²

Here a = 73 Therefore, the area of the floor = 73² = 73 × 73 = 5329.

The cost to tile the floor = 5329 × 5 = 26645.

The total cost = 26645 dollars

Explanation

To find the cost to tile the floor, we multiply the area of the floor by cost to tile per foot. So, the total cost is 26645 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 73 meters.

Okay, lets begin

The area of the circle = 16741.46 m²

Explanation

The area of a circle = πr²

Here, r = 73

Therefore, the area of the circle = π × 73² = 3.14 × 73 × 73 = 16741.46 m².

Well explained 👍

Problem 4

The area of the square is 5329 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 292 cm.

Explanation

The area of the square = a²

Here, the area is 5329 cm²

The length of the side is √5329 = 73

Perimeter of the square = 4a

Here, a = 73

Therefore, the perimeter = 4 × 73 = 292.

Well explained 👍

Problem 5

Find the square of 74.

Okay, lets begin

The square of 74 is 5476.

Explanation

The square of 74 is multiplying 74 by 74.

So, the square = 74 × 74 = 5476.

Well explained 👍

FAQs on Square of 73

1.What is the square of 73?

The square of 73 is 5329, as 73 × 73 = 5329.

2.What is the square root of 73?

The square root of 73 is approximately ±8.54.

3.Is 73 a prime number?

Yes, 73 is a prime number; it is only divisible by 1 and 73.

4.What are the first few multiples of 73?

The first few multiples of 73 are 73, 146, 219, 292, 365, 438, 511, 584, and so on.

5.What is the square of 72?

The square of 72 is 5184.

Important Glossaries for Square 73.

  • Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 73, etc.
  • Exponential form: A way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
  • Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
  • Perfect square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7 × 7.
  • Square root: The inverse operation of squaring. The square root of a number is a number whose square is the original number. For example, the square root of 25 is 5.

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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.