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Last updated on May 15th, 2025

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Square of 861

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Foundation
Intermediate
Advance Topics

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 861.

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What is the Square of 861

The square of a number is the product of the number itself. The square of 861 is 861 × 861. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 861², where 861 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 861 is 861 × 861 = 741,721.

 

Square of 861 in exponential form: 861²

 

Square of 861 in arithmetic form: 861 × 861

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How to Calculate the Value of Square of 861

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
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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 861.

 

Step 1: Identify the number. Here, the number is 861.

 

Step 2: Multiplying the number by itself, we get, 861 × 861 = 741,721.

 

The square of 861 is 741,721.

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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 861 So: 861² = 861 × 861 = 741,721

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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 861.

 

Step 1: Enter the number in the calculator Enter 861 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 861 × 861

 

Step 3: Press the equal to button to find the answer Here, the square of 861 is 741,721.

 

Tips and Tricks for the Square of 861

 

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.
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Common Mistakes to Avoid When Calculating the Square of 861

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Solved Examples on Square of 861

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Problem 1

Find the side length of a square, where the area of the square is 741,721 cm².

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Explanation

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Problem 2

Sarah is planning to tile her square floor with a side length of 861 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full floor?

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Explanation

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Problem 3

Find the area of a circle whose radius is 861 meters.

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Explanation

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Problem 4

The area of the square is 741,721 cm². Find the perimeter of the square.

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Explanation

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Problem 5

Find the square of 862.

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Explanation

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FAQs on Square of 861

1.What is the square of 861?

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2.What is the square root of 861?

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3.Is 861 a prime number?

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4.What are the first few multiples of 861?

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5.What is the square of 860?

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Important Glossaries for Square 861.

  • Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc.

 

  • Exponent: The power to which a number is raised, indicating repeated multiplication. For example, in 861², 2 is the exponent.

 

  • Square root: The inverse operation of squaring a number. The square root of a number is a number whose square is the original number.

 

  • Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, etc.

 

  • Multiplication: A mathematical operation that represents combining groups of equal sizes; used to find the square of a number 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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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