BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on May 14th, 2025

Math Whiteboard Illustration

Square of 851

Professor Greenline Explaining Math Concepts
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 851.

Professor Greenline from BrightChamps

What is the Square of 851

The square of a number is the product of the number with itself. The square of 851 is 851 × 851. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 851², where 851 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 851 is 851 × 851 = 724,201.

 

Square of 851 in exponential form: 851²

 

Square of 851 in arithmetic form: 851 × 851

 

square of 851

Professor Greenline from BrightChamps

How to Calculate the Value of Square of 851

The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number. These are common methods used to find the square of a number.

 

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator
Professor Greenline from BrightChamps

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 851.

 

Step 1: Identify the number. Here, the number is 851

 

Step 2: Multiplying the number by itself, we get, 851 × 851 = 724,201.

 

The square of 851 is 724,201.

Professor Greenline from BrightChamps

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 851 So: 851² = 851 × 851 = 724,201

Professor Greenline from BrightChamps

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 851.

 

Step 1: Enter the number in the calculator Enter 851 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 851 × 851

 

Step 3: Press the equal to button to find the answer Here, the square of 851 is 724,201.

 

Tips and Tricks for the Square of 851

 

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.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Square of 851

Max from BrightChamps Saying "Hey"

Solved Examples on Square of 851

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the length of a square where the area of the square is 724,201 cm².

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Sarah is planning to tile her square floor of length 851 feet. The cost to tile a foot is 4 dollars. How much will it cost to tile the full floor?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Find the area of a circle whose radius is 851 meters.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

The area of the square is 724,201 cm². Find the perimeter of the square.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Find the square of 852.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Square of 851

1.What is the square of 851?

Math FAQ Answers Dropdown Arrow

2.What is the square root of 851?

Math FAQ Answers Dropdown Arrow

3.Is 851 a prime number?

Math FAQ Answers Dropdown Arrow

4.What are the first few multiples of 851?

Math FAQ Answers Dropdown Arrow

5.What is the square of 850?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Square 851.

  • Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².

 

  • Exponent: The number that indicates how many times the base is multiplied by itself. In 3², 2 is the exponent.

 

  • Multiplication: The process of adding a number to itself a certain number of times. For example, 4 × 3 means adding 4 three times (4+4+4).

 

  • Prime Number: A natural number greater than 1 that has no positive divisors other than 1 and itself.

 

  • Square Root: A value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom