129 LearnersLast updated on May 30th, 2025
Square of 253
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 253.
What is the Square of 253
The square of a number is the product of the number itself.
The square of 253 is 253 × 253.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 253², where 253 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 253 is 253 × 253 = 64009.
Square of 253 in exponential form: 253²
Square of 253 in arithmetic form: 253 × 253
How to Calculate the Value of Square of 253
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 253.
Step 1: Identify the number. Here, the number is 253.
Step 2: Multiplying the number by itself, we get, 253 × 253 = 64009.
The square of 253 is 64009.
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 253.
So: 253² = 253 × 253 = 64009.
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 253.
Step 1: Enter the number in the calculator. Enter 253 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 253 × 253.
Step 3: Press the equal to button to find the answer.
Here, the square of 253 is 64009.
Tips and Tricks for the Square of 253
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 253
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 253² with (2+5+3)² or (200+50+3)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 253
Problem 1
Find the length of the square, where the area of the square is 64009 cm².
The area of a square = a² So, the area of a square = 64009 cm² So, the length = √64009 = 253. The length of each side = 253 cm
Explanation
The length of a square is 253 cm.
Because the area is 64009 cm² the length is √64009 = 253.
Problem 2
Jerry wants to tile his square patio of length 253 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire patio?
The length of the patio = 253 feet The cost to tile 1 square foot of the patio = 5 dollars. To find the total cost to tile, we find the area of the patio, Area of the patio = area of the square = a² Here a = 253 Therefore, the area of the patio = 253² = 253 × 253 = 64009. The cost to tile the patio = 64009 × 5 = 320045. The total cost = 320045 dollars.
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot.
So, the total cost is 320045 dollars.
Problem 3
Find the area of a circle whose radius is 253 meters.
The area of the circle = 201,061.76 m²
Explanation
The area of a circle = πr²
Here, r = 253
Therefore, the area of the circle = π × 253² = 3.14 × 253 × 253 = 201061.76 m².
Problem 4
The area of the square is 64009 cm². Find the perimeter of the square.
The perimeter of the square is 1012 cm.
Explanation
The area of the square = a²
Here, the area is 64009 cm²
The length of the side is √64009 = 253
Perimeter of the square = 4a
Here, a = 253
Therefore, the perimeter = 4 × 253 = 1012.
Problem 5
Find the square of 254.
The square of 254 is 64516.
Explanation
The square of 254 is multiplying 254 by 254.
So, the square = 254 × 254 = 64516.
FAQs on Square of 253
1.What is the square of 253?
2.What is the square root of 253?
3.Is 253 a prime number?
4.What are the first few multiples of 253?
5.What is the square of 252?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 253?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 253?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square of 253.
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square as it is 6².
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11.
- Exponential Form: Writing a number as a base raised to a power. For example, 9² where 9 is the base and 2 is the power.
- Square Root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication Method: A method to find the square of a number by multiplying the number by itself.
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About BrightChamps in United Arab Emirates
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.
