124 LearnersLast updated on May 30th, 2025
Square of 251
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 251.
What is the Square of 251
The square of a number is the product of the number itself.
The square of 251 is 251 × 251.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 251², where 251 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 251 is 251 × 251 = 63001.
Square of 251 in exponential form: 251²
Square of 251 in arithmetic form: 251 × 251
How to Calculate the Value of Square of 251
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 251.
Step 1: Identify the number. Here, the number is 251
Step 2: Multiplying the number by itself, we get, 251 × 251 = 63001.
The square of 251 is 63001.
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 251
So: 251² = 251 × 251 = 63001
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 251.
Step 1: Enter the number in the calculator Enter 251 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 251 × 251
Step 3: Press the equal to button to find the answer Here, the square of 251 is 63001.
Tips and Tricks for the Square of 251
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 251
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 251² with (2 + 51)² or (250 + 1)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 251
Problem 1
Find the length of the square, where the area of the square is 63001 cm².
The area of a square = a² So, the area of a square = 63001 cm² So, the length = √63001 = 251. The length of each side = 251 cm
Explanation
The length of a square is 251 cm.
Because the area is 63001 cm², the length is √63001 = 251.
Problem 2
Sarah is planning to tile her square backyard with a side length of 251 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the entire backyard?
The length of the backyard = 251 feet The cost to tile 1 square foot of the backyard = 5 dollars. To find the total cost to tile, we find the area of the backyard, Area of the backyard = area of the square = a² Here a = 251 Therefore, the area of the backyard = 251² = 251 × 251 = 63001. The cost to tile the backyard = 63001 × 5 = 315005. The total cost = 315005 dollars
Explanation
To find the cost to tile the backyard, we multiply the area of the backyard by the cost to tile per foot.
So, the total cost is 315005 dollars.
Problem 3
Find the area of a circle whose radius is 251 meters.
The area of the circle = 198,072.64 m²
Explanation
The area of a circle = πr²
Here, r = 251
Therefore, the area of the circle = π × 251² = 3.14 × 251 × 251 = 198,072.64 m².
Problem 4
The area of the square is 64000 cm². Find the perimeter of the square.
The perimeter of the square is 3200 cm.
Explanation
The area of the square = a²
Here, the area is 64000 cm²
The length of the side is √64000 = 253
Perimeter of the square = 4a
Here, a = 253
Therefore, the perimeter = 4 × 253 = 1012 cm.
Problem 5
Find the square of 252.
The square of 252 is 63504
Explanation
The square of 252 is multiplying 252 by 252.
So, the square = 252 × 252 = 63504
FAQs on Square of 251
1.What is the square of 251?
2.What is the square root of 251?
3.Is 251 a prime number?
4.What are the first few multiples of 251?
5.What is the square of 250?
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 251?
8.How do technology and digital tools in United States support learning Algebra and Square of 251?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 251.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, etc.
- Exponential form: Representation of a number in the form of a power. For example, 9² where 9 is the base and 2 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 original number.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.
- Commutative property: A property of multiplication where the order of numbers does not change the result. For example, 2 × 3 = 3 × 2.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 251
About BrightChamps in United States
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.
