132 LearnersLast updated on May 30th, 2025
Square of 831
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 831.
What is the Square of 831
The square of a number is the product of the number with itself.
The square of 831 is 831 × 831.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 831², where 831 is the base and 2 is the exponent.
The square of both positive and negative numbers is always positive.
For example, 5² = 25; -5² = 25.
The square of 831 is 831 × 831 = 690,561.
Square of 831 in exponential form: 831²
Square of 831 in arithmetic form: 831 × 831
How to Calculate the Value of Square of 831
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number using common methods.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 831.
Step 1: Identify the number. Here, the number is 831.
Step 2: Multiply the number by itself. 831 × 831 = 690,561.
The square of 831 is 690,561.
Using a Formula (a²)
In this method, the formula a² is used to find the square of a number, where a is the number.
Step 1: Understanding the equation Square of a number = a² a² = a × a
Step 2: Identify the number and substitute the value in the equation.
Here, ‘a’ is 831.
So: 831² = 831 × 831 = 690,561
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 831.
Step 1: Enter the number in the calculator. Enter 831 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 831 × 831.
Step 3: Press the equal button to find the answer. Here, the square of 831 is 690,561.
Tips and Tricks for the Square of 831
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 831
Mistakes are common among kids when doing math, especially when finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip steps or swap the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 831² with incorrect expressions. So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 831
Problem 1
Find the length of the square, where the area of the square is 690,561 cm².
The area of a square = a² So, the area of a square = 690,561 cm² So, the length = √690,561 = 831. The length of each side = 831 cm.
Explanation
The length of a square is 831 cm.
Because the area is 690,561 cm², the length is √690,561 = 831.
Problem 2
Sarah is planning to lay tiles on her square garden with a length of 831 feet. The cost to lay tiles per square foot is 5 dollars. How much will it cost to tile the full garden?
The length of the garden = 831 feet The cost to lay tiles per square foot = 5 dollars. To find the total cost to tile, we find the area of the garden, Area of the garden = area of the square = a² Here a = 831 Therefore, the area of the garden = 831² = 831 × 831 = 690,561. The cost to tile the garden = 690,561 × 5 = 3,452,805. The total cost = 3,452,805 dollars.
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot.
So, the total cost is 3,452,805 dollars.
Problem 3
Find the area of a circle whose radius is 831 meters.
The area of the circle = 2,168,890.86 m²
Explanation
The area of a circle = πr²
Here, r = 831
Therefore, the area of the circle = π × 831² = 3.14 × 831 × 831 = 2,168,890.86 m².
Problem 4
The area of the square is 690,561 cm². Find the perimeter of the square.
The perimeter of the square is 3,324 cm.
Explanation
The area of the square = a²
Here, the area is 690,561 cm²
The length of the side is √690,561 = 831.
Perimeter of the square = 4a
Here, a = 831
Therefore, the perimeter = 4 × 831 = 3,324.
Problem 5
Find the square of 832.
The square of 832 is 692,224.
Explanation
The square of 832 is found by multiplying 832 by 832.
So, the square = 832 × 832 = 692,224.
FAQs on Square of 831
1.What is the square of 831?
2.What is the square root of 831?
3.Is 831 a prime number?
4.What are the first few multiples of 831?
5.What is the square of 830?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 831?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 831?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 831.
- Square: The product of multiplying a number by itself.
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself.
- Exponential Form: Expressing a number as a base raised to an exponent. For example, 831².
- Square Root: A number that produces a specified quantity when multiplied by itself, such as √690,561 = 831.
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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.
