Square of 842
2026-02-28 18:04 Diff
https://brightchamps.com/en-us/math/algebra/square-of-842

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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 842.

What is the Square of 842

The square of a number is the product of the number itself. The square of 842 is 842 × 842. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 842², where 842 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 842 is 842 × 842 = 708,964.

Square of 842 in exponential form: 842²

Square of 842 in arithmetic form: 842 × 842

How to Calculate the Value of Square of 842

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
  3. 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 842

Step 1: Identify the number. Here, the number is 842

Step 2: Multiplying the number by itself, we get, 842 × 842 = 708,964.

The square of 842 is 708,964.

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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 842 So: 842² = 842 × 842 = 708,964

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 842.

Step 1: Enter the number in the calculator Enter 842 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is 842 × 842

Step 3: Press the equal to button to find the answer Here, the square of 842 is 708,964.

Tips and Tricks for the Square of 842

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 842

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 708,964 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 708,964 cm²

So, the length = √708,964 = 842.

The length of each side = 842 cm

Explanation

The length of a square is 842 cm.

Because the area is 708,964 cm² the length is √708,964 = 842.

Well explained 👍

Problem 2

Lisa is planning to paint her square wall of length 842 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 = 842 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 = 842

Therefore, the area of the wall = 842² = 842 × 842 = 708,964.

The cost to paint the wall = 708,964 × 3 = 2,126,892.

The total cost = 2,126,892 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 2,126,892 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 842 meters.

Okay, lets begin

The area of the circle = 2,227,759.76 m²

Explanation

The area of a circle = πr²

Here, r = 842

Therefore, the area of the circle = π × 842² = 3.14 × 842 × 842 = 2,227,759.76 m².

Well explained 👍

Problem 4

The area of the square is 708,964 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 3,368 cm.

Explanation

The area of the square = a²

Here, the area is 708,964 cm²

The length of the side is √708,964 = 842

Perimeter of the square = 4a

Here, a = 842

Therefore, the perimeter = 4 × 842 = 3,368.

Well explained 👍

Problem 5

Find the square of 843.

Okay, lets begin

The square of 843 is 710,649.

Explanation

The square of 843 is multiplying 843 by 843.

So, the square = 843 × 843 = 710,649.

Well explained 👍

FAQs on Square of 842

1.What is the square of 842?

The square of 842 is 708,964, as 842 × 842 = 708,964.

2.What is the square root of 842?

The square root of 842 is approximately ±29.01.

3.Is 842 a prime number?

No, 842 is not a prime number; it is divisible by numbers other than 1 and itself.

4.What are the first few multiples of 842?

The first few multiples of 842 are 842, 1,684, 2,526, 3,368, 4,210, 5,052, 5,894, 6,736, and so on.

5.What is the square of 841?

The square of 841 is 707,281.

Important Glossary for Square of 842.

  • Square: The product of multiplying a number by itself.
  • Exponential form: A way of writing numbers using bases and exponents, such as 842².
  • Perfect square: A number that is the square of an integer, e.g., 16, 25.
  • Square root: A number which produces a specified quantity when multiplied by itself.
  • Multiplication method: A process of finding the square by multiplying the number by 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.