130 LearnersLast updated on May 30th, 2025
Square of 247
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 247.
What is the Square of 247
The square of a number is the product of the number itself.
The square of 247 is 247 × 247.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 247², where 247 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 247 is 247 × 247 = 61009.
Square of 247 in exponential form: 247²
Square of 247 in arithmetic form: 247 × 247
How to Calculate the Value of Square of 247
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 247.
Step 1: Identify the number. Here, the number is 247.
Step 2: Multiplying the number by itself, we get, 247 × 247 = 61009.
The square of 247 is 61009.
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 247.
So: 247² = 247 × 247 = 61009
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 247.
Step 1: Enter the number in the calculator Enter 247 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 247 × 247
Step 3: Press the equal to button to find the answer
Here, the square of 247 is 61009.
Tips and Tricks for the Square of 247
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 247
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping 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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 247² with (2 + 4 + 7)² or (240 + 7)². 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 error.
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 247
Problem 1
Find the length of the square, where the area of the square is 61009 cm².
The area of a square = a² So, the area of a square = 61009 cm² So, the length = √61009 = 247. The length of each side = 247 cm
Explanation
The length of a square is 247 cm.
Because the area is 61009 cm², the length is √61009 = 247.
Problem 2
Mary is planning to plant a garden in a square plot of length 247 feet. The cost to plant a foot is 5 dollars. Then how much will it cost to plant the full plot?
The length of the plot = 247 feet The cost to plant 1 square foot of the plot = 5 dollars. To find the total cost to plant, we find the area of the plot, Area of the plot = area of the square = a² Here a = 247 Therefore, the area of the plot = 247² = 247 × 247 = 61009. The cost to plant the plot = 61009 × 5 = 305045. The total cost = 305045 dollars
Explanation
To find the cost to plant the plot, we multiply the area of the plot by the cost to plant per foot.
So, the total cost is 305045 dollars.
Problem 3
Find the area of a circle whose radius is 247 meters.
The area of the circle = 191547.63 m²
Explanation
The area of a circle = πr²
Here, r = 247
Therefore, the area of the circle = π × 247² = 3.14 × 247 × 247 = 191547.63 m².
Problem 4
The area of the square is 61009 cm². Find the perimeter of the square.
The perimeter of the square is 988 cm
Explanation
The area of the square = a²
Here, the area is 61009 cm²
The length of the side is √61009 = 247
Perimeter of the square = 4a
Here, a = 247
Therefore, the perimeter = 4 × 247 = 988.
Problem 5
Find the square of 250.
The square of 250 is 62500
Explanation
The square of 250 is multiplying 250 by 250.
So, the square = 250 × 250 = 62500
FAQs on Square of 247
1.What is the square of 247?
2.What is the square root of 247?
3.Is 247 a prime number?
4.What are the first few multiples of 247?
5.What is the square of 245?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 247?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 247?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square 247.
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of writing numbers using bases and exponents. For example, 9², where 9 is the base and 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the number.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Even number: An integer divisible by 2. For example, 2, 4, 6, 8, etc.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 247
About BrightChamps in Qatar
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.
