114 LearnersLast updated on May 30th, 2025
Square of 245
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 the topic, we will discuss the square of 245.
What is the Square of 245
The square of a number is the product of the number itself.
The square of 245 is 245 × 245.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 245², where 245 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 245 is 245 × 245 = 60,025.
Square of 245 in exponential form: 245²
Square of 245 in arithmetic form: 245 × 245
How to Calculate the Value of Square of 245
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 245
Step 1: Identify the number. Here, the number is 245
Step 2: Multiplying the number by itself, we get, 245 × 245 = 60,025.
The square of 245 is 60,025.
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 245
So: 245² = 245 × 245 = 60,025
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 245.
Step 1: Enter the number in the calculator Enter 245 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 245 × 245
Step 3: Press the equal to button to find the answer Here, the square of 245 is 60,025.
Tips and Tricks for the Square of 245
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 245
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.
Solved Examples on Square of 245
Problem 1
Find the length of the square, where the area of the square is 60,025 cm².
The area of a square = a² So, the area of a square = 60,025 cm² So, the length = √60,025 = 245. The length of each side = 245 cm
Explanation
The length of a square is 245 cm.
Because the area is 60,025 cm² the length is √60,025 = 245.
Problem 2
Alice is planning to tile her square garden of length 245 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 245 feet The cost to tile 1 square foot of the garden = 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 = 245 Therefore, the area of the garden = 245² = 245 × 245 = 60,025. The cost to tile the garden = 60,025 × 5 = 300,125. The total cost = 300,125 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 300,125 dollars.
Problem 3
Find the area of a circle whose radius is 245 meters.
The area of the circle = 188,495.56 m²
Explanation
The area of a circle = πr²
Here, r = 245
Therefore, the area of the circle = π × 245² = 3.14 × 245 × 245 = 188,495.56 m².
Problem 4
The area of the square is 60,025 cm². Find the perimeter of the square.
The perimeter of the square is 980 cm.
Explanation
The area of the square = a²
Here, the area is 60,025 cm²
The length of the side is √60,025 = 245
Perimeter of the square = 4a
Here, a = 245
Therefore, the perimeter = 4 × 245 = 980.
Problem 5
Find the square of 246.
The square of 246 is 60,516.
Explanation
The square of 246 is multiplying 246 by 246.
So, the square = 246 × 246 = 60,516.
FAQs on Square of 245
1.What is the square of 245?
2.What is the square root of 245?
3.Is 245 a prime number?
4.What are the first few multiples of 245?
5.What is the square of 244?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 245?
8.How do technology and digital tools in United States support learning Algebra and Square of 245?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 245.
- Perfect square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7².
- Exponent: The exponent of a number shows how many times the number is multiplied by itself. For example, in 5³, 3 is the exponent.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Multiplication method: A method to calculate the square by multiplying the number by itself.
- Area: The measure of the surface enclosed within a shape, calculated for squares using the formula a², where a is the length of a side.
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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
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