Square of 1004
2026-02-28 11:37 Diff
https://brightchamps.com/en-us/math/algebra/square-of-1004

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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 1004.

What is the Square of 1004

The square of a number is the product of the number itself. The square of 1004 is 1004 × 1004. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1004², where 1004 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 1004 is 1004 × 1004 = 1,008,016.

Square of 1004 in exponential form: 1004²

Square of 1004 in arithmetic form: 1004 × 1004

How to Calculate the Value of Square of 1004

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 1004.

Step 1: Identify the number. Here, the number is 1004.

Step 2: Multiplying the number by itself, we get, 1004 × 1004 = 1,008,016.

The square of 1004 is 1,008,016.

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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 1004

So: 1004² = 1004 × 1004 = 1,008,016

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 1004.

Step 1: Enter the number in the calculator Enter 1004 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 1004 × 1004

Step 3: Press the equal to button to find the answer Here, the square of 1004 is 1,008,016.

Tips and Tricks for the Square of 1004

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 1004

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 1,008,016 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 1,008,016 cm²

So, the length = √1,008,016 = 1004.

The length of each side = 1004 cm

Explanation

The length of a square is 1004 cm. Because the area is 1,008,016 cm², the length is √1,008,016 = 1004.

Well explained 👍

Problem 2

Emma is planning to tile her square room of length 1004 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full room?

Okay, lets begin

The length of the room = 1004 feet

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

To find the total cost to tile, we find the area of the room,

Area of the room = area of the square = a²

Here a = 1004

Therefore, the area of the room = 1004² = 1004 × 1004

= 1,008,016.

The cost to tile the room = 1,008,016 × 5 = 5,040,080.

The total cost = 5,040,080 dollars

Explanation

To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot. So, the total cost is 5,040,080 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 1004 meters.

Okay, lets begin

The area of the circle = 3,168,728.96 m²

Explanation

The area of a circle = πr² Here, r = 1004 Therefore, the area of the circle = π × 1004² = 3.14 × 1004 × 1004 = 3,168,728.96 m².

Well explained 👍

Problem 4

The area of the square is 1,008,016 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 4,016 cm.

Explanation

The area of the square = a²

Here, the area is 1,008,016 cm²

The length of the side is √1,008,016 = 1004

Perimeter of the square = 4a

Here, a = 1004

Therefore, the perimeter = 4 × 1004 = 4,016.

Well explained 👍

Problem 5

Find the square of 1005.

Okay, lets begin

The square of 1005 is 1,010,025.

Explanation

The square of 1005 is multiplying 1005 by 1005. So, the square = 1005 × 1005 = 1,010,025.

Well explained 👍

FAQs on Square of 1004

1.What is the square of 1004?

The square of 1004 is 1,008,016, as 1004 × 1004 = 1,008,016.

2.What is the square root of 1004?

The square root of 1004 is approximately ±31.7.

3.Is 1004 a prime number?

No, 1004 is not a prime number; it is divisible by 1, 2, 4, 251, 502, and 1004.

4.What are the first few multiples of 1004?

The first few multiples of 1004 are 1004, 2008, 3012, 4016, 5020, and so on.

5.What is the square of 1003?

The square of 1003 is 1,006,009.

Important Glossaries for Square 1004.

  • Perfect Square: A number that is the square of an integer. For example, 1, 4, 9, 16, .
  • Even Number: A number divisible by 2. For example, 2, 4, 6, 8.
  • Prime Number: A number greater than 1 that is only divisible by 1 and itself. For example, 2, 3, 5, 7, .
  • Exponential Form: Writing a number as a base raised to a power. For example, 10³ where 10 is the base and 3 is the power.
  • Square Root: The inverse operation of squaring a number. For example, the square root of 16 is 4.

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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.