Square of 1002
2026-02-28 14:02 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 this topic, we will discuss the square of 1002.

What is the Square of 1002

The square of a number is the product of the number itself. The square of 1002 is 1002 × 1002. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1002², where 1002 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 1002 is 1002 × 1002 = 1,004,004.

Square of 1002 in exponential form: 1002²

Square of 1002 in arithmetic form: 1002 × 1002

How to Calculate the Value of Square of 1002

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 1002.

Step 1: Identify the number. Here, the number is 1002

Step 2: Multiplying the number by itself, we get, 1002 × 1002 = 1,004,004.

The square of 1002 is 1,004,004.

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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 1002

So: 1002² = 1002 × 1002 = 1,004,004

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 1002.

Step 1: Enter the number in the calculator Enter 1002 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 1002 × 1002

Step 3: Press the equal to button to find the answer Here, the square of 1002 is 1,004,004.

Tips and Tricks for the Square of 1002

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 1002

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 1,004,004 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 1,004,004 cm²

So, the length = √1,004,004 = 1002.

The length of each side = 1002 cm

Explanation

The length of a square is 1002 cm. Because the area is 1,004,004 cm², the length is √1,004,004 = 1002.

Well explained 👍

Problem 2

Sarah is planning to paint her square wall of length 1002 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 = 1002 feet

The cost to paint 1 square foot of wall = 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 = 1002

Therefore, the area of the wall = 1002²

= 1002 × 1002 = 1,004,004.

The cost to paint the wall = 1,004,004 × 3 = 3,012,012.

The total cost = 3,012,012 dollars

Explanation

To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 3,012,012 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 1002 meters.

Okay, lets begin

The area of the circle = 3,155,640.52 m²

Explanation

The area of a circle = πr²

Here, r = 1002

Therefore, the area of the circle = π × 1002²

= 3.14 × 1002 × 1002

= 3,155,640.52 m².

Well explained 👍

Problem 4

The area of the square is 1,004,004 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 4008 cm

Explanation

The area of the square = a²

Here, the area is 1,004,004 cm²

The length of the side is √1,004,004 = 1002

Perimeter of the square = 4a

Here, a = 1002

Therefore, the perimeter = 4 × 1002 = 4008 cm.

Well explained 👍

Problem 5

Find the square of 1003.

Okay, lets begin

The square of 1003 is 1,006,009

Explanation

The square of 1003 is multiplying 1003 by 1003. So, the square = 1003 × 1003 = 1,006,009

Well explained 👍

FAQs on Square of 1002

1.What is the square of 1002?

The square of 1002 is 1,004,004, as 1002 × 1002 = 1,004,004.

2.What is the square root of 1002?

The square root of 1002 is approximately ±31.654.

3.Is 1002 a prime number?

No, 1002 is not a prime number; it is divisible by numbers other than 1 and itself.

4.What are the first few multiples of 1002?

The first few multiples of 1002 are 1002, 2004, 3006, 4008, 5010, 6012, 7014, 8016, and so on.

5.What is the square of 1000?

The square of 1000 is 1,000,000.

Important Glossaries for Square of 1002.

  • Perfect Square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7².
  • Exponential Form: A method of expressing numbers as a base raised to a power, like 1002².
  • Square Root: The number which produces a specified quantity when multiplied by itself. For example, the square root of 49 is 7.
  • Odd Number: A number not divisible by 2. For example, 3, 5, 7.
  • Even Number: A number divisible by 2. For example, 2, 4, 6.

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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.